iGATE - Reasoning

iGATE - Reasoning

Choose the correct answer out of the four answer options given

1.  It is half past eight __________
a) in my watch                   b) by my watch                                 c) on watch                        d) with my watch

Ans: (b)

2.  Select the right pair from the choices which are related in the same way as the question given in capital letters
BOILING : LUKEWARM ::
a) cold : hot                        b) cold : freezing              c) cloudy : sunny              d) freezing : cold
Ans: (d)

3.  The missing number in the series is 3, 6, 12,….., 48, 96 is
a) 22                                      b) 24                                      c) 36                                       d) None of these

Ans: (b)

4.  ½ + ¼ x ¾ =
a) 3/8                                    b) 13/8                                  c) 11/16                                d) ¾

Ans: (c) (apply BODMAS)

5. Find the greatest number which divides 615 and 963, leaving the remainder 6 for each case.
a) 67                                      b) 77                                      c) 87                                       d) 97
Ans: (c)

6. M’s father is thrice as old as his daughter. After 12 years he will be twice the age of his daughter. His present age is
a) 36                                      b) 39                                      c) 42                                       d) 45

Ans: (a)

7. A tree broke at a point and its top touched the ground 5m away from its base. If point of breakage is at height of 12 m from ground what was tree’s total height?
a) 18m                                  b) 25m                                  c) 32m                                   d) 35m

Ans: (b)

The broken part of the tree on touching the ground forms a right angle with the base of the tree. The top of the tree falls at 5m away from the base and the tree broke at 12m height from the base. Now applying Pythagoras theorem we get the length of the broken part of the tree as 13m. Hence the height of the tree is the broken part + the standing part -> 13m + 12m -> 25m.

8. Find permutations of letters taken all at a time that can be formed out of ‘watch’.
a) 20                                      b) 24                                      c) 120                                    d) 124

Ans: (c)   5! Is the answer

9.The HCF of two numbers is 6 whose LCM is 36. If one of them is 12 the other is
a) 12                                      b) 18                                      c) 224                                    d) 30
Ans: (b)

10.The average of 7 numbers is 49. If 1 is added to first number, 2 to second number, 3 to third number and so on what is new average?
a) 52                                      b) 53                                      c) 54                                       d) 55

Ans: (b)   The addition of numbers goes in this fashion:  1+ 2 + 3+ 4 + 5 + 6 + 7 The average of the additions is ‘4’ and this when added to the original average of 49 gives the answer as 53.

11. Lisa Lilly was the best runner in the eighth grade. She ran 100m in 40 s, 200m in 1 min and 10 s and 200 m over hurdles in one and a half min. How many more seconds it took her to run 200m over hurdles than it did to 200m dash?
a) 15s                                    b) 18s                                    c) 20s                                     d) 30s

Ans: (c)

12. A train 55m long crosses a bridge of 220m length in 10 s. How many seconds will it take to pass a man standing on the bridge?
a) 1                                         b) 1.25                                  c) 1.5                                     d) 2

Ans: (d)   

For crossing a bridge the train has to travel the length of the bridge + its own length. For crossing a man the train has to travel only its length.

13. In what ratio should one variety of oil at Rs. 9.5 per liter is mixed with another variety at Rs. 10 per liter to get a mixture worth Rs. 9.6 per liter?
a)  1:4                                    b) 10:4                                  c) 4:1                                     d) 2:1

Ans: (c) 

Rule of alligation. Draw a figure for quick answering.

14.A smallest number exists that can be expressed as sum of cubes of two different sets of numbers of which one set is 10,9. The other set is:
a) 1,12                                   b) 4,11                                  c) 2,12                                   d) 4,13

Ans: (a)

15.The percentage change in the surface are of a cube when each side is doubled is
a) 25                                      b) 50                                      c) 100                                    d) 300

Ans: (d)  

Let each side of the cube be 1. Then the surface area is 6 x 1² = 6.
If each side is doubled then the new surface area will be 6 x 2² = 24. Thus the increase in surface area is 18 and the percentage increase is 300%.

16. If 4 chickens are worth 3 ducks, 7 ducks worth 2 geese and 9 geese worth 7 fowls what is the price of a chicken if a fowl costs Rs. 150?
a) Rs. 75                               b) Rs. 25                               c) Rs. 50                                d) Rs. 150

Ans: (b)

4C : 3D  …. (1)     7D : 2G ----- (2)    9G : 7 F ------ (3)    Now multiply (1) by 7 and (2) by 3. We get

28C : 21D … (4) and 21D : 6G ….. (5) Combining (4) and (5) we now get 28C : 6G …… (6)

Now multiply (3) by 2 and (6) by 3. We now have 18G : 14F …. (7) and 84C : 18G ….. (8)

Combining (7) and (8) we get 84C : 14F or 6C : 1F

Thus if one fowl costs Rs 150 then a Chicken will cost 150/6 = Rs 25.

17. An inspector drove 30 km west and 40 km south. From here, he drove 60 km east and 40 km north. At what distance is he from the starting point?
a) 30 km                               b) 50 km                               c) 60 km                               d) 130 km

Ans: (a)     Draw directional figure to arrive at the answer.

18. If GODAVARI is coded as KSHEZEVM then what is the code for NARMADA?

a) REQUHE                          b) REVQEHE                        c) RDVQEHE                        d) REUPEHE
Ans: (b)

Part of the answer is available from the main code itself.