IIT Sample Papers
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15 Question

1. 
Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in ascending order of their weight is

A. 
Anthony, Akbar, Farah, Amar

B. 
Anthony, Akbar, Amar, Farah

C.  
Akbar, Anthony, Amar, Farah

D. 
Akbar, Anthony, Farah, Amar

2. 
A person starts from point A and travels 3 kms eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. The shortest distance between the starting point and destination is

A. 
18 km

B. 
16 km

C.  
15 km

D. 
12 km

3. 
Seven persons P, Q, R, S T, U and V, participate in and finish all the vents of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth, then which one of the following would be true?

A. 
S finishes first

B. 
S finishes second

C.  
T finishes third

D. 
R finishes fourth

4. 
17. (i) A + B means A 'is the father of' B (ii) A - B means A 'is the wife of B (iii) A x B means A 'is the brother of' B (iv) A ÷ B means A ‘is the daughter of’ B If A – C + B, which of the following statements is true?

A. 
A is the mother of B

B. 
B is the daughter of A

C.  
A is the aunt of B

D. 
A is the sister of B

5. 
Consider the figure given below: PQRS is a square of side 1 unit and Q, S are the centres of the two circles. The area of the shaded portion in square unit is

A. 

B. 

C.  

D. 

6. 
Pointing to a photograph, Anil said, "She is the daughter of my grand father's only son." How is Anil related to the girl in the photograph?

A. 
Father

B. 
Brother

C.  
Cousin

D. 
Can't be determined

7. 
Find the odd-one-out.

A. 
Shoulder

B. 
Foot

C.  
Elbow

D. 
Arm

8. 
In a company, 60% of the employees are men. Of these 40% are drawing more than Rs. 50,000 per year. If 36% of the total employment of the company draw more than Rs. 50,000 per year, what is the percentage among women who are drawing less than Rs. 50,000 per year?     

A. 
70

B. 
60

C.  
40

D. 
30

9. 
A, B, C, D , E and F not necessarily in that order are sitting in six chairs regularly placed around table. It is observed that A is between D and F C is opposite D D and E are not on neighbouring chairs. Which one of the following must be true?

A. 
A is opposite B

B. 
D is opposite E

C.  
C and B are neighbours

D. 
B and E are neighbours

10. 
Four different candles, which can last for 5 hours, 4 hours, 3 hours and 2 hours of burning, respectively, are lit in a room at the same instant and allowed to burn till such time that the third candle in the room get extinguished. The cost of burning each one of these candles is 75 paise per hour. The cost involved is

A. 
Rs. 2.75

B. 
Rs. 3.75

C.  
Rs. 9.75

D. 
Rs. 12.50

11. 
Examine the following statements:   1.     George attends Music classes on Monday.                   2.     He attends Mathematics classes on Wednesday. 3.     His Literature classes are not on Friday. 4.     He attends History classes on the day following the day of his Mathematics classes. 5.     On Tuesday, he attends his Sports classes. If he attends just one subject in a day and his Sunday is free, then he is also free on.

A. 
Monday

B. 
Thursday

C.  
Saturday

D. 
Friday

12. 
A man starts walking in the north–easterly direction from a particular point. After walking a distance of 500 meters, he turns southward and walks a distance of 400 metres. At the end of this walk, he is situated           

A. 
300 metres north of the starting point.

B. 
100 metres north–east of the starting point.

C.  
300 metres east of the starting point.

D. 
100 metres north of the starting point.

13. 
For the given system of equations: The values of ‘x’ and ‘y’ respectively are

A. 

B. 

C.  

D. 

14. 
Most guitarists are bearded males. If A represents all males, B represents bearded males and C represents all male guitarists, then the correct diagram for their relation (shaded portion) is   

A. 

B. 

C.  

D. 

15. 
A conveyer belt delivers baggage at the rate of 3 tons in 5 minutes, and a second conveyer belt delivers baggage at the rate of 1 ton in 2 minutes. How much time will it take to get 33 tons of baggage delivered using both the conveyer belts?

A. 
25 minutes and 30 seconds

B. 
30 minutes

C.  
35 minutes

D. 
40 minutes and 45 seconds

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