Q1. Two trains, 400 and 320 meters long take 30 seconds to cross each other while traveling in the same direction and take only 15 seconds when they cross moving in opposite directions.
What are the speeds at which the trains are traveling?
Q2. There are two trains one of which is 240 meters long traveling at 52 metres/ sec. They take 8 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q3. There are two trains, one of which is 480 meters long and traveling at 37.5 mt/sec and the other one is 320 metres long traveling at 12.5 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q4. There are two trains whose combined length is 480 and the difference between their length is 240. They take 30 seconds to cross each other while traveling in the same direction and take
only 20 seconds when they cross in opposite directions.What are the length of the two trains ?
What are the speeds at which the trains are traveling?
Q5. There are two trains one of which is 275 meters long traveling at 48 metres/ sec. They take 25 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q6. There are two trains, one of which is 588 meters long and traveling at 105 mt/sec and the other one is 392 metres long traveling at 35 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q7. Two trains, 676 and 338 meters long take 39 seconds to cross each other while traveling in the same direction and take only 13 seconds when they cross in opposite directions. What
are the speeds at which the trains are traveling?
Q8. There are two trains one of which is 252 meters long traveling at 31 metres/ sec. They take 21 seconds to cross each other while traveling in the same direction and take 10 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q9. There are two trains, one of which is 468 meters long and traveling at 41 mt/sec and the other one is 312 metres long traveling at 11 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q10. There are two trains whose combined length is 1140 and the difference between their length is 228. They take 38 seconds to cross each other while traveling in the same direction and
take 30 seconds when they cross in opposite directions. What are the length of the two trains ?
What are the speeds at which the trains are traveling?
Q11. There are two trains one of which is 828 meters long traveling at 38 metres/ sec. They take 46 seconds to cross each other while traveling in the same direction and take 30 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q12. There are two trains, one of which is 420 meters long and is traveling at 40 mt/sec and the other one is 252 metres long traveling at 8 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q13. Two trains, 456 and 209 meters long take 19 seconds to cross each other while traveling in the same direction and take only 5 seconds when they cross in opposite directions. What are
the speeds at which the trains are traveling?
Q14. There are two trains one of which is 391 meters long traveling at 27 metres/ sec. They take 34 seconds to cross each other while traveling in the same direction and take 17 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q15. There are two trains, one of which is 360 meters long and traveling at 27 mt/sec and the other one is 288 metres long traveling at 9 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q16. There are two trains whose combined length is 608 mts and the difference between their length is 160 mts. They take 16 seconds to cross each other while traveling in the same
direction and take only 8 seconds when they cross in opposite directions.What are the length of the two trains ? What are the speeds at which the trains are traveling?
Q17. There are two trains one of which is 345 meters long traveling at 76 metres/ sec. They take 15 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q18. There are two trains, one of which is 504 meters long and traveling at 34 mt/sec and the other one is 312 metres long traveling at 17 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q1 to Q20 : Use the following choices to answer the questions
below.
Mark 1 if the question can be answered by using any of the two
statements alone but not by using the other statement alone.
Mark 2 if the question can be answered by using either of the
statements alone.
Mark 3, if the question can be answered only by using both the
statement together.
Mark 4, if the question cannot be answered.
Q1. What is the value of Y given that Y is an integer ?
A. Y^4== 16
B. Y^3== -8
Q2. Is the product of X and Y less than 200, given that both X and
Y are positive integers?
A. The sum of X and Y is greater than 150.
B. Each of the variables is greater than 2.
Q3 Find X^4
A. ABS( X-3) == 4
B. X^2 <16 pqr="=" pq="=" qr="=" 2y ="=" 3y ="="> 5?
A x^2 == 16
B x^2 == 36
Q12. What is value of (Y+2)^2 ?
A. (Y-4) is a prime number.
B. (Y/2 -1) is a even number.
Q13. What is the value of X?
A X - 4 == 2
B Y^2 -4 == 32
Q14. Is X <> -Y + R
Q15. Is X a prime number?
A. X is an even number.
B. When X is multiplied by -1, the result is a positive even
number.
Q16. What is the value of P - Q?
A. R - S == 6
B. PR + QS - RQ - SP == 48
Q17. A, B, C, and D are all positive numbers. Is the value of A –
B greater than the value of C – D ?
A. A is greater than C and B is greater than D.
B. A is greater than B and C is greater than D.
Q18. What is the value of x?
A. 2/5x + y == 2
B. X+ 5/2Y == 5
Q19. Ashish sells three times as many Rs. 200 brochures as
Tomar, and Tomar sells four times as many Rs. 100 Brochures
as Ashish. How many Brochures did Ashish sell? There are two kinds of brochures only, either it cost Rs. 100 or Rs. 200.
A. Tomar sold a total of 30 brochures.
B. Together Ashish and Tomar sold 65 Brochures for Rs. 10,500
Q20. What is the value of X-Y ?
A. X/Y and Y/X are integers.
B. Both X and Y are prime.
Take Value of Pi = 22/7
Q1. A cube of side 35 cm, a box with sides 12 cm, 24 cm and 13 cm, a cylinder with radius 7 cm and height 17 cm and a cone with radius 7 cm and height 6 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q2. A cube of unknown measurement, a box with sides 15 cm, 29 cm and 19 cm, a cylinder with radius 14 cm and height 24 cm and a cone with radius 14 cm and height 9 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 18,857 cubic cm is thrown away. What is the length of
the side of the cube ?
Q3. A cube of side 37 cm, a box with sides 11 cm, 34 cm and 14 cm, a cylinder with radius 21 cm and unknown height and a cone with radius 21 cm and height 12 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining 21,239 cubic cm is thrown away. What is the height of the
cylinder ?
Q4. A cube of side 42 cm, a box with sides 14 cm, 39 cm and unknown length, a cylinder with radius 28 cm and 22 cms height and a cone with radius 7 cm and height 15 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 14 cm*17 Cm *
99 cm. What is the length of the box from which the water was originally taken ?
Q5. A cube of side 13 cm, a box with sides 17 cm, 21 cm and 26 cm, a cylinder with unknown radius and 21 cms height and a cone with radius 14 cm and height 21 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 3,383 cubic cm is thrown away. What is the radius of
the cylinder ?
Q6. A cube of side 35 cm, a box with sides 15 cm, 16 cm and 17 cm, a cylinder with radius 7 cm and 14 cms height and a cone with radius 21 cm and unknown height are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 21,391 cubic cm is thrown away. What is the height of
the cone ?
Q7. A cube of side 18 cm, a box with sides 18 cm, 31 cm and 23 cm, a cylinder with radius 14 cm and height 33 cm and a cone with radius 7 cm and height 27 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q8. A cube of unknown measurement, a box with sides 21 cm,36 cm and 29 cm, a cylinder with radius 12 cm and height 14 cm and a cone with radius 14 cm and height 30 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 6260 cubic cm is thrown away. What is the length of the cube ?
Q9. A cube of side 29 cm, a box with sides 7 cm, 23 cm and 26 cm, a cylinder with radius 19 cm and unknown height and a cone with radius 21 cm and height 34 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining water is poured into 2nd sphere. The second sphere still has
capacity of 17,449 cubic cms left. What is the height of the cylinder ?
Q10. A cube of side 36 cm, a box with sides 10 cm, 28 cm and unknown length, a cylinder with radius 26 cm and 21 cms height and a cone with radius 7 cm and height 15 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 15,422 cubic cm left. What is the length of the box ?
Q11. A cube of side 43 cm, a box with sides 13 cm, 14 cm and 38 cm, a cylinder with unknown radius and 36 cms height and a cone with radius 14 cm and height 15 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 21,377 cubic cms left. What is the radius of the cylinder ?
Q12. A cube of side 50 cm, a box with sides 7 cm, 8 cm and 12 cm, a cylinder with radius 14 cm and height 41 cm and a cone with radius 21 cm and height 5 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q13. A cube of unknown measurement, a box with sides 10 cm,12 cm and 15 cm, a cylinder with radius 21 cm and height 12 cm and a cone with radius 35 cm and height 3 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining 8,666 cubic cm is thrown away. What is the length of the cube ?
Q14. A cube of side 30 cm, a box with sides 8 cm, 6 cm and 8 cm, a cylinder with radius 28 cm and unknown height and a cone with radius 7 cm and height 24 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of
33,600 cubic cms left. What is the height of the cylinder ?
Q15. A cube of side 25 cm, a box with sides 12 cm, 25 cm and unknown length, a cylinder with radius 35 cm and 25 cms height and a cone with radius 14 cm and height 6 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining 1183 cubic cm thrown away. What is the length of the
box ?
Q16. A cube of side 20 cm, a box with sides 10 cm, 20 cm and 15 cm, a cylinder with unknown radius and 26 cms height and a cone with radius 14 cm and height 6 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fills a box of dimension 2cm * 11 cm* 17 cm . What is the radius of the cylinder ?
Q17. A cube of side 10 cm, a box with sides 6 cm, 12 cm and 15 cm, a cylinder with radius 56 cm and 16 cms height and a cone with radius 14 cm and unknown height are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fits in a box of dimension 8 cm*27 Cm * 41 cm. What is the height of the cone ?
Q18. A cube of side 15 cm, a box with sides 4 cm, 5 cm and 12 cm, a cylinder with radius 49 cm and 18 cms height and a cone with radius 7 cm and unknown height are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 5 cm*53 Cm * 59 cms. What is the height of the cone ?
Q1. Co-ordinates of Triangle ABC are A= (K,L) , B = (2K,2L) and C= (2K,K). The co-ordinates of the centroid of the triangle are (5,5). Find the length of side AB ?
A) 25 Units B) 2.5 Units C) 5 units D) None of the above.
Q2. Area of triangle ABC is 3 Sq. Units. The co-ordinates of the corners of the triangle are (15,K), (12,14) and (15,12). Find the co-ordinates of the centroid of the triangle.
A) 10 B) 14 C) Both choices A and B D) 5 and 7
Q3. Co-ordinates of the corners of a triangle are (11,K), (14,K) and (23,2K). The perpendicular lines drawn from the centroid to X axis and Y axis are equal in length. Find the Area of the triangle?
A) 36 Sq Units B) 18 Sq Units C) 24 Sq Units D) None
Q4. The co-ordinates of the corners of a triangle ABC are A=(1,0), B= (1,K) and C = (5,0). The area of the triangle is 6 Sq units. Find the co-ordinates of the Incentre of the circle.
a) (2.33,1.25) B) (4.66 2.5) C) (0,0) D) None
Q5. The shortest distance from origin to a line " 3X+ 4Y +Z= 0 " is 5 units. What is the value of Z ?
A) Plus and minus 25 B) Plus and minus 36 C) Plus and minus 7 D) Plus and minus 12
Q6. Find the shortest distance of line " 5X+12Y+26= 0" from point (1,5) ?
A) 5 Units B) 6 Units C) 13 Units D) 7 Units
Q7. The shortest distance from point (11,10) to line " 8X+ 15Y+K" is 15 units. What is the value of K ?
A) 17 and -493 C) 17 and 493 D) -17 and 493 D) -17 and -493
Q8. The shortest distance from point (1,K) to line 6X +8Y +10 =0 is 4. Find the value of K ?
A) 3 and -7 B) -7 and 3 C) -7 and -3 D) None of the above
Q9. The shortest distance from point (1,9) to line " 9X+ 40Y+41=0
" is same as the distance from point (7,K) to line "8X + 6Y +14=
0". Find the value of K?
A) 5 and -28.33 B) -5 and 28.33 C) Both A and B D) None
Q10. Find the perpendicular distance between two lines A and B where the line A and B are represented as A= 6X+8Y+5= 0" and B = "3X+4Y+12.5 = 0" ?
A) 2 Units B ) 4 Units C) 1 Unit D) 3 Units
Q11. The perpendicular distance between two parallel lines A and B is 2 units. A is represented as "13X+84Y+85= 0" and B is represented as "13X+ 84Y + Z= 0" Find the value of Z ?
A) -85 and 255 B) 85 and -255 C) 170 and -85 D) None
Q12. Three lines A,B and C intersect each other at the same point. A is represented as X+3Y+K= 0. B is represented as K/2X+3Y+K = 0 and C is represented KX+ 3Y+ K = 0. Find the value of
K where K>1 ?
A) K = 4 B) K= 2 C) K = 9 D) None
Q13. Point (15,K) divide the point (12,-11) and point (3,-8) externally in a certain ratio . Find the value of K?
A) K= -12 B) K= 12 C) K = 1 D) None
Q14. Point (5,-1) divide the points (6,-2) and point (3,K) internally in a certain ratio. Find the value of K ?
A) K = 1 B) K= 0.5 C) K =2 D) K= 4
Q15. What are the co-ordinates of the point Z which divides (5,3) and (4,3) in ratio 1:3 externally ?
A) (11,6) B) (5.5,6) C) (5.5,3) D) (11,3)
Q16. There are two lines Lx+Ky+5= 0 and Kx+Ly+3= 0. The X intercept of first line is -2.5 and X intercept of the second line is -0.75. Find the Y intercept of the two line line ?
A) -3/2 and 4 B) -1/4 and -1/2 C) -5/4 and -3/2 D) None
Q17. A triangle with co-ordinates (3,12), (5,20) (-3,-12)
a) Is a Right Angle triangle B) Is a Obtuse angle triangle C) Is a
Acute Angle Triangle D) Does not exist
Q1 to Q3 are based on the following information :
There are 4 ships (A,B,C,D) at a port 2 passenger type and 2 cargo type. There are 6 captains (Q,R,S,T,U,V) and 6 chief engineers (E,F,G,H,I,J) available. To operate any ship you need 1 Chief Engineer and 1 Captain.Any of the Captain and Chief Engineer cannot operate more than
one ship but a ship may have more than 1 captain and Chief engineer capable of managing it. One ship either has 2 captains or 2 chief engineers but not both.
1. Captain U and Q can manage Ship D.
2. Chief Engineer I and G can manage ship C.
3. Ship A is a Cargo ship and is not managed by F.
4. B is a Cargo Ship and E is its Chief Engineer.
5. S is a captain of passenger ship and he is only captain who
can manage his ship.
6. Captain R and T can manage the same ship.
7. Chief Engineers H and J manage the same ship.
Q1. Who is Captain of Ship A ?
Q2. Who is Chief Engineer of Ship D ?
Q3. Which ship does Chief Engineer H belong to ?
Q4 to Q6 are based on the following information :
A team of 3 people is to be formed out of 3 females members named Ria, Medha and Simran and 4 male members named Ashutosh, Shantanu, Mehul and Anmol. All the three members cannot be of same gender. Simran and Shantanu cannot be in the same team.
Medha and Mehul cannot be in the same team . If Ashutosh is present in a team Anmol must also be there.If Anmol is present in the team, Simran must also be there.
Q4. If Ria and Shantanu are in a team and Medha is not
available, who will be the third member ?
Q5. If a team with one female and two males is to be formed and
Simran and Mehul are in the team, who will be the third
member?
Q6. If Anmol is in a team who cannot be a team member ?
Q7 to Q9 are based on the following information :
There are 7 cities named A,B,C,D,E,F,G and H where A is a island city.
There is a flight to and fro City A to city F.
There is a train to and fro from city B to city G which halts at City D in between.
There is a Bus to and fro from B and F which halts at D in between.
There is a train to and fro from C to H with halts at E and F in between.
City B and G are connected via Sea also and there is a ferry running between the two cities.
City A and E are connected via Sea also and there is a ferry running between the two cities.
Q7. If a person want to travel from A to B and don't want to travel
by Air which cities will he touch in between if he is to touch the
minimum number of cities possible ?
Q8. If a person want to travel from A to G and don't want to travel
by Sea which cities will he touch in between if he is to touch the
minimum number of cities possible ?
Q9. If a person want to travel from B to H and don't want to travel
either by Sea or Air what are the cities he will touch in between if
he wants to touch 2 cities in between ?
Q10 to Q12 are based on the following information :
Three poachers A,B,C went to a forest. One fell into a pit, the other one was trapped in a cage and the third one got tangled with a nest.
Each one makes following two statements out of which one is correct and one is false.
A: I wanted to catch a Elephant. I am in the pit now.
B: I wanted to catch a Tiger. I am in the cage now.
C: I wanted to catch few birds . I am tangled with the net.
A tiger happen to see them and makes the following statement which is true.
Tiger : B is in the pit there, he wanted to catch me.
Q10 : Who is the Cage ?
Q11 : Who is in the pit ?
Q12: Who wanted to catch birds ?
Q13 to Q16 are based on the following information :
2 friends are playing a game where by each one have to write 4
words and the set of the 4 words should follow the rules
mentioned below :
1. The words should be in descending order and should be in a
sequence. Means, if the first word starts with D the second one
will start with C , the third with B and the last one with A.
2. There should be 2 vowels in each word.
3. The length of the first word should be more than second and
the length of the third word should be more than the length of the
last word.
4. Alphabet "D" or "F" should not be present in the second word
and alphabet "K" or "Y" should not be present in the third word.
Select A if both the sets qualify the rule. Select B if none of the
two sets qualify the rules. Select C if only first set qualify the
rules. Select D if only the second set qualify the rules.
Q 13.
1. Water, Veto, Urban, Tame.
2. Undue, Tree, Succor, Rife
Q14.
1. Occult, Nexus, Motley, Lave
2. Gibber, Flair, Evict, Dire
Q15.
1. Quell, Poems, Obvert, Noisy
2. Lucent, Kite, Jargon, Islet.
Q16.
1. Normal, Motto, Lucid, Jibe
2. Quack, Pale, Optic, Nave
Q17 to Q20 are based on the following information :
A group of 5 students (A,B,C,D and E) and 5 teachers (1,2,3,4,5) are sitting around a round table in such a manner that no two teachers or no two students are sitting next to each other.
Neither D nor E is not next to 2
A and 1 are sitting opposite to each other.
2 is sitting on left side of 1 with B in between them.
5 is sitting opposite of D and 3 is opposite of C.
4 is between E and A.
Q17. Who is Second on left of 3 ?
Q18. If 3 and C interchange their position who are the three
students who will be sitting without any teacher in between ?
Q19. If 1 and 2 change positions and B and C change their
position how many people will be sitting between 1 and B ?
Q20. If 5 leaves the table and E takes his position who are the
two students who have a empty chair in between ?
Q19 to 24: MATCH THE WORDS IN SET A WITH THEIR
MEANINGS IN SET B
SET A: 21. Captious , 22. Impudent 23. Murrain 24. Pedant 25.
Sumptuous
SET B:
A. Stimulating to thought.
B. Scholar who overemphasises book learning or displays his
knowledge.
C. Faultfinding on small issues and criticising a lot.
D. Showing lack of respect and being excessive bold.
E. Magnificent, lavish , Rich and costly.
F. A cattle disease.
G. An additional amount charged. .
H. In a condition of perfect agreement and accord.
I. Well-balanced..
J. Ability to capture something.
What are the speeds at which the trains are traveling?
Q2. There are two trains one of which is 240 meters long traveling at 52 metres/ sec. They take 8 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q3. There are two trains, one of which is 480 meters long and traveling at 37.5 mt/sec and the other one is 320 metres long traveling at 12.5 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q4. There are two trains whose combined length is 480 and the difference between their length is 240. They take 30 seconds to cross each other while traveling in the same direction and take
only 20 seconds when they cross in opposite directions.What are the length of the two trains ?
What are the speeds at which the trains are traveling?
Q5. There are two trains one of which is 275 meters long traveling at 48 metres/ sec. They take 25 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q6. There are two trains, one of which is 588 meters long and traveling at 105 mt/sec and the other one is 392 metres long traveling at 35 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q7. Two trains, 676 and 338 meters long take 39 seconds to cross each other while traveling in the same direction and take only 13 seconds when they cross in opposite directions. What
are the speeds at which the trains are traveling?
Q8. There are two trains one of which is 252 meters long traveling at 31 metres/ sec. They take 21 seconds to cross each other while traveling in the same direction and take 10 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q9. There are two trains, one of which is 468 meters long and traveling at 41 mt/sec and the other one is 312 metres long traveling at 11 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q10. There are two trains whose combined length is 1140 and the difference between their length is 228. They take 38 seconds to cross each other while traveling in the same direction and
take 30 seconds when they cross in opposite directions. What are the length of the two trains ?
What are the speeds at which the trains are traveling?
Q11. There are two trains one of which is 828 meters long traveling at 38 metres/ sec. They take 46 seconds to cross each other while traveling in the same direction and take 30 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q12. There are two trains, one of which is 420 meters long and is traveling at 40 mt/sec and the other one is 252 metres long traveling at 8 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q13. Two trains, 456 and 209 meters long take 19 seconds to cross each other while traveling in the same direction and take only 5 seconds when they cross in opposite directions. What are
the speeds at which the trains are traveling?
Q14. There are two trains one of which is 391 meters long traveling at 27 metres/ sec. They take 34 seconds to cross each other while traveling in the same direction and take 17 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q15. There are two trains, one of which is 360 meters long and traveling at 27 mt/sec and the other one is 288 metres long traveling at 9 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q16. There are two trains whose combined length is 608 mts and the difference between their length is 160 mts. They take 16 seconds to cross each other while traveling in the same
direction and take only 8 seconds when they cross in opposite directions.What are the length of the two trains ? What are the speeds at which the trains are traveling?
Q17. There are two trains one of which is 345 meters long traveling at 76 metres/ sec. They take 15 seconds to cross each other while traveling in the same direction and take 5 seconds
when they cross in opposite directions. What is the speed and length of the second train ?
Q18. There are two trains, one of which is 504 meters long and traveling at 34 mt/sec and the other one is 312 metres long traveling at 17 metres/ sec. How long will it take to cross each
other while traveling in the same direction and when they cross in opposite directions.
Q1 to Q20 : Use the following choices to answer the questions
below.
Mark 1 if the question can be answered by using any of the two
statements alone but not by using the other statement alone.
Mark 2 if the question can be answered by using either of the
statements alone.
Mark 3, if the question can be answered only by using both the
statement together.
Mark 4, if the question cannot be answered.
Q1. What is the value of Y given that Y is an integer ?
A. Y^4== 16
B. Y^3== -8
Q2. Is the product of X and Y less than 200, given that both X and
Y are positive integers?
A. The sum of X and Y is greater than 150.
B. Each of the variables is greater than 2.
Q3 Find X^4
A. ABS( X-3) == 4
B. X^2 <16 pqr="=" pq="=" qr="=" 2y ="=" 3y ="="> 5?
A x^2 == 16
B x^2 == 36
Q12. What is value of (Y+2)^2 ?
A. (Y-4) is a prime number.
B. (Y/2 -1) is a even number.
Q13. What is the value of X?
A X - 4 == 2
B Y^2 -4 == 32
Q14. Is X <> -Y + R
Q15. Is X a prime number?
A. X is an even number.
B. When X is multiplied by -1, the result is a positive even
number.
Q16. What is the value of P - Q?
A. R - S == 6
B. PR + QS - RQ - SP == 48
Q17. A, B, C, and D are all positive numbers. Is the value of A –
B greater than the value of C – D ?
A. A is greater than C and B is greater than D.
B. A is greater than B and C is greater than D.
Q18. What is the value of x?
A. 2/5x + y == 2
B. X+ 5/2Y == 5
Q19. Ashish sells three times as many Rs. 200 brochures as
Tomar, and Tomar sells four times as many Rs. 100 Brochures
as Ashish. How many Brochures did Ashish sell? There are two kinds of brochures only, either it cost Rs. 100 or Rs. 200.
A. Tomar sold a total of 30 brochures.
B. Together Ashish and Tomar sold 65 Brochures for Rs. 10,500
Q20. What is the value of X-Y ?
A. X/Y and Y/X are integers.
B. Both X and Y are prime.
Take Value of Pi = 22/7
Q1. A cube of side 35 cm, a box with sides 12 cm, 24 cm and 13 cm, a cylinder with radius 7 cm and height 17 cm and a cone with radius 7 cm and height 6 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q2. A cube of unknown measurement, a box with sides 15 cm, 29 cm and 19 cm, a cylinder with radius 14 cm and height 24 cm and a cone with radius 14 cm and height 9 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 18,857 cubic cm is thrown away. What is the length of
the side of the cube ?
Q3. A cube of side 37 cm, a box with sides 11 cm, 34 cm and 14 cm, a cylinder with radius 21 cm and unknown height and a cone with radius 21 cm and height 12 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining 21,239 cubic cm is thrown away. What is the height of the
cylinder ?
Q4. A cube of side 42 cm, a box with sides 14 cm, 39 cm and unknown length, a cylinder with radius 28 cm and 22 cms height and a cone with radius 7 cm and height 15 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 14 cm*17 Cm *
99 cm. What is the length of the box from which the water was originally taken ?
Q5. A cube of side 13 cm, a box with sides 17 cm, 21 cm and 26 cm, a cylinder with unknown radius and 21 cms height and a cone with radius 14 cm and height 21 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 3,383 cubic cm is thrown away. What is the radius of
the cylinder ?
Q6. A cube of side 35 cm, a box with sides 15 cm, 16 cm and 17 cm, a cylinder with radius 7 cm and 14 cms height and a cone with radius 21 cm and unknown height are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 21,391 cubic cm is thrown away. What is the height of
the cone ?
Q7. A cube of side 18 cm, a box with sides 18 cm, 31 cm and 23 cm, a cylinder with radius 14 cm and height 33 cm and a cone with radius 7 cm and height 27 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q8. A cube of unknown measurement, a box with sides 21 cm,36 cm and 29 cm, a cylinder with radius 12 cm and height 14 cm and a cone with radius 14 cm and height 30 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 6260 cubic cm is thrown away. What is the length of the cube ?
Q9. A cube of side 29 cm, a box with sides 7 cm, 23 cm and 26 cm, a cylinder with radius 19 cm and unknown height and a cone with radius 21 cm and height 34 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining water is poured into 2nd sphere. The second sphere still has
capacity of 17,449 cubic cms left. What is the height of the cylinder ?
Q10. A cube of side 36 cm, a box with sides 10 cm, 28 cm and unknown length, a cylinder with radius 26 cm and 21 cms height and a cone with radius 7 cm and height 15 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 15,422 cubic cm left. What is the length of the box ?
Q11. A cube of side 43 cm, a box with sides 13 cm, 14 cm and 38 cm, a cylinder with unknown radius and 36 cms height and a cone with radius 14 cm and height 15 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 21,377 cubic cms left. What is the radius of the cylinder ?
Q12. A cube of side 50 cm, a box with sides 7 cm, 8 cm and 12 cm, a cylinder with radius 14 cm and height 41 cm and a cone with radius 21 cm and height 5 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?
Q13. A cube of unknown measurement, a box with sides 10 cm,12 cm and 15 cm, a cylinder with radius 21 cm and height 12 cm and a cone with radius 35 cm and height 3 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining 8,666 cubic cm is thrown away. What is the length of the cube ?
Q14. A cube of side 30 cm, a box with sides 8 cm, 6 cm and 8 cm, a cylinder with radius 28 cm and unknown height and a cone with radius 7 cm and height 24 cm are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of
33,600 cubic cms left. What is the height of the cylinder ?
Q15. A cube of side 25 cm, a box with sides 12 cm, 25 cm and unknown length, a cylinder with radius 35 cm and 25 cms height and a cone with radius 14 cm and height 6 cm are full of water.
The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining 1183 cubic cm thrown away. What is the length of the
box ?
Q16. A cube of side 20 cm, a box with sides 10 cm, 20 cm and 15 cm, a cylinder with unknown radius and 26 cms height and a cone with radius 14 cm and height 6 cm are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fills a box of dimension 2cm * 11 cm* 17 cm . What is the radius of the cylinder ?
Q17. A cube of side 10 cm, a box with sides 6 cm, 12 cm and 15 cm, a cylinder with radius 56 cm and 16 cms height and a cone with radius 14 cm and unknown height are full of water. The
water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fits in a box of dimension 8 cm*27 Cm * 41 cm. What is the height of the cone ?
Q18. A cube of side 15 cm, a box with sides 4 cm, 5 cm and 12 cm, a cylinder with radius 49 cm and 18 cms height and a cone with radius 7 cm and unknown height are full of water. The water
from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 5 cm*53 Cm * 59 cms. What is the height of the cone ?
Q1. Co-ordinates of Triangle ABC are A= (K,L) , B = (2K,2L) and C= (2K,K). The co-ordinates of the centroid of the triangle are (5,5). Find the length of side AB ?
A) 25 Units B) 2.5 Units C) 5 units D) None of the above.
Q2. Area of triangle ABC is 3 Sq. Units. The co-ordinates of the corners of the triangle are (15,K), (12,14) and (15,12). Find the co-ordinates of the centroid of the triangle.
A) 10 B) 14 C) Both choices A and B D) 5 and 7
Q3. Co-ordinates of the corners of a triangle are (11,K), (14,K) and (23,2K). The perpendicular lines drawn from the centroid to X axis and Y axis are equal in length. Find the Area of the triangle?
A) 36 Sq Units B) 18 Sq Units C) 24 Sq Units D) None
Q4. The co-ordinates of the corners of a triangle ABC are A=(1,0), B= (1,K) and C = (5,0). The area of the triangle is 6 Sq units. Find the co-ordinates of the Incentre of the circle.
a) (2.33,1.25) B) (4.66 2.5) C) (0,0) D) None
Q5. The shortest distance from origin to a line " 3X+ 4Y +Z= 0 " is 5 units. What is the value of Z ?
A) Plus and minus 25 B) Plus and minus 36 C) Plus and minus 7 D) Plus and minus 12
Q6. Find the shortest distance of line " 5X+12Y+26= 0" from point (1,5) ?
A) 5 Units B) 6 Units C) 13 Units D) 7 Units
Q7. The shortest distance from point (11,10) to line " 8X+ 15Y+K" is 15 units. What is the value of K ?
A) 17 and -493 C) 17 and 493 D) -17 and 493 D) -17 and -493
Q8. The shortest distance from point (1,K) to line 6X +8Y +10 =0 is 4. Find the value of K ?
A) 3 and -7 B) -7 and 3 C) -7 and -3 D) None of the above
Q9. The shortest distance from point (1,9) to line " 9X+ 40Y+41=0
" is same as the distance from point (7,K) to line "8X + 6Y +14=
0". Find the value of K?
A) 5 and -28.33 B) -5 and 28.33 C) Both A and B D) None
Q10. Find the perpendicular distance between two lines A and B where the line A and B are represented as A= 6X+8Y+5= 0" and B = "3X+4Y+12.5 = 0" ?
A) 2 Units B ) 4 Units C) 1 Unit D) 3 Units
Q11. The perpendicular distance between two parallel lines A and B is 2 units. A is represented as "13X+84Y+85= 0" and B is represented as "13X+ 84Y + Z= 0" Find the value of Z ?
A) -85 and 255 B) 85 and -255 C) 170 and -85 D) None
Q12. Three lines A,B and C intersect each other at the same point. A is represented as X+3Y+K= 0. B is represented as K/2X+3Y+K = 0 and C is represented KX+ 3Y+ K = 0. Find the value of
K where K>1 ?
A) K = 4 B) K= 2 C) K = 9 D) None
Q13. Point (15,K) divide the point (12,-11) and point (3,-8) externally in a certain ratio . Find the value of K?
A) K= -12 B) K= 12 C) K = 1 D) None
Q14. Point (5,-1) divide the points (6,-2) and point (3,K) internally in a certain ratio. Find the value of K ?
A) K = 1 B) K= 0.5 C) K =2 D) K= 4
Q15. What are the co-ordinates of the point Z which divides (5,3) and (4,3) in ratio 1:3 externally ?
A) (11,6) B) (5.5,6) C) (5.5,3) D) (11,3)
Q16. There are two lines Lx+Ky+5= 0 and Kx+Ly+3= 0. The X intercept of first line is -2.5 and X intercept of the second line is -0.75. Find the Y intercept of the two line line ?
A) -3/2 and 4 B) -1/4 and -1/2 C) -5/4 and -3/2 D) None
Q17. A triangle with co-ordinates (3,12), (5,20) (-3,-12)
a) Is a Right Angle triangle B) Is a Obtuse angle triangle C) Is a
Acute Angle Triangle D) Does not exist
Q1 to Q3 are based on the following information :
There are 4 ships (A,B,C,D) at a port 2 passenger type and 2 cargo type. There are 6 captains (Q,R,S,T,U,V) and 6 chief engineers (E,F,G,H,I,J) available. To operate any ship you need 1 Chief Engineer and 1 Captain.Any of the Captain and Chief Engineer cannot operate more than
one ship but a ship may have more than 1 captain and Chief engineer capable of managing it. One ship either has 2 captains or 2 chief engineers but not both.
1. Captain U and Q can manage Ship D.
2. Chief Engineer I and G can manage ship C.
3. Ship A is a Cargo ship and is not managed by F.
4. B is a Cargo Ship and E is its Chief Engineer.
5. S is a captain of passenger ship and he is only captain who
can manage his ship.
6. Captain R and T can manage the same ship.
7. Chief Engineers H and J manage the same ship.
Q1. Who is Captain of Ship A ?
Q2. Who is Chief Engineer of Ship D ?
Q3. Which ship does Chief Engineer H belong to ?
Q4 to Q6 are based on the following information :
A team of 3 people is to be formed out of 3 females members named Ria, Medha and Simran and 4 male members named Ashutosh, Shantanu, Mehul and Anmol. All the three members cannot be of same gender. Simran and Shantanu cannot be in the same team.
Medha and Mehul cannot be in the same team . If Ashutosh is present in a team Anmol must also be there.If Anmol is present in the team, Simran must also be there.
Q4. If Ria and Shantanu are in a team and Medha is not
available, who will be the third member ?
Q5. If a team with one female and two males is to be formed and
Simran and Mehul are in the team, who will be the third
member?
Q6. If Anmol is in a team who cannot be a team member ?
Q7 to Q9 are based on the following information :
There are 7 cities named A,B,C,D,E,F,G and H where A is a island city.
There is a flight to and fro City A to city F.
There is a train to and fro from city B to city G which halts at City D in between.
There is a Bus to and fro from B and F which halts at D in between.
There is a train to and fro from C to H with halts at E and F in between.
City B and G are connected via Sea also and there is a ferry running between the two cities.
City A and E are connected via Sea also and there is a ferry running between the two cities.
Q7. If a person want to travel from A to B and don't want to travel
by Air which cities will he touch in between if he is to touch the
minimum number of cities possible ?
Q8. If a person want to travel from A to G and don't want to travel
by Sea which cities will he touch in between if he is to touch the
minimum number of cities possible ?
Q9. If a person want to travel from B to H and don't want to travel
either by Sea or Air what are the cities he will touch in between if
he wants to touch 2 cities in between ?
Q10 to Q12 are based on the following information :
Three poachers A,B,C went to a forest. One fell into a pit, the other one was trapped in a cage and the third one got tangled with a nest.
Each one makes following two statements out of which one is correct and one is false.
A: I wanted to catch a Elephant. I am in the pit now.
B: I wanted to catch a Tiger. I am in the cage now.
C: I wanted to catch few birds . I am tangled with the net.
A tiger happen to see them and makes the following statement which is true.
Tiger : B is in the pit there, he wanted to catch me.
Q10 : Who is the Cage ?
Q11 : Who is in the pit ?
Q12: Who wanted to catch birds ?
Q13 to Q16 are based on the following information :
2 friends are playing a game where by each one have to write 4
words and the set of the 4 words should follow the rules
mentioned below :
1. The words should be in descending order and should be in a
sequence. Means, if the first word starts with D the second one
will start with C , the third with B and the last one with A.
2. There should be 2 vowels in each word.
3. The length of the first word should be more than second and
the length of the third word should be more than the length of the
last word.
4. Alphabet "D" or "F" should not be present in the second word
and alphabet "K" or "Y" should not be present in the third word.
Select A if both the sets qualify the rule. Select B if none of the
two sets qualify the rules. Select C if only first set qualify the
rules. Select D if only the second set qualify the rules.
Q 13.
1. Water, Veto, Urban, Tame.
2. Undue, Tree, Succor, Rife
Q14.
1. Occult, Nexus, Motley, Lave
2. Gibber, Flair, Evict, Dire
Q15.
1. Quell, Poems, Obvert, Noisy
2. Lucent, Kite, Jargon, Islet.
Q16.
1. Normal, Motto, Lucid, Jibe
2. Quack, Pale, Optic, Nave
Q17 to Q20 are based on the following information :
A group of 5 students (A,B,C,D and E) and 5 teachers (1,2,3,4,5) are sitting around a round table in such a manner that no two teachers or no two students are sitting next to each other.
Neither D nor E is not next to 2
A and 1 are sitting opposite to each other.
2 is sitting on left side of 1 with B in between them.
5 is sitting opposite of D and 3 is opposite of C.
4 is between E and A.
Q17. Who is Second on left of 3 ?
Q18. If 3 and C interchange their position who are the three
students who will be sitting without any teacher in between ?
Q19. If 1 and 2 change positions and B and C change their
position how many people will be sitting between 1 and B ?
Q20. If 5 leaves the table and E takes his position who are the
two students who have a empty chair in between ?
Q19 to 24: MATCH THE WORDS IN SET A WITH THEIR
MEANINGS IN SET B
SET A: 21. Captious , 22. Impudent 23. Murrain 24. Pedant 25.
Sumptuous
SET B:
A. Stimulating to thought.
B. Scholar who overemphasises book learning or displays his
knowledge.
C. Faultfinding on small issues and criticising a lot.
D. Showing lack of respect and being excessive bold.
E. Magnificent, lavish , Rich and costly.
F. A cattle disease.
G. An additional amount charged. .
H. In a condition of perfect agreement and accord.
I. Well-balanced..
J. Ability to capture something.
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