GATE 2017 MOCK II

Question 1

Suppose there are two teams A and B. Both of them are competing with each other on a racing track of 1 km. But team A has got the advantage of starting the race from 280 m from the starting point. If the ratio of speed of A to B is 3:4.

Select the correct option from the options given below:

• A. Team A will win by 20m
• B. Team B will win by 20m
• C. Team A will win by 40m
• D. Team B will win by 40m

Answer: (C)

To win the race first, A has to cover (1000 – 280) m = 720m B covers 4 part of distance when A covers 3 part of it. So, if A covers 720m, then B covers (4/3 * 720)m i.e. 960m Hence, A will win the race by 40m.

Question 2

There are 5 brothers in a family. All were born at a gap of 3 years. If the sum total of ages of 5 brothers is 100. What is the age of 2nd most elder brother ?

• A. 13
• B. 15
• C. 23
• D. 26

Answer: (C)

Let the age of youngest brother be x Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 100 => 5x = 70 => x = 14 Therefore, age of 2nd most elder brother = 14 + 9 = 23.

Question 3

If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?

• A. 2.36 hours
• B. 1.24 hours
• C. 0.80 hours
• D. 2.56 hours

Answer: (C)

In 1 hour, ½ + ¼ + ⅕ +⅙ + ⅛ = 149/120 = 1.24 is the work done. Hence, total time to complete the work would be = 1/1.24 = 0.80 hours

Question 4

If we increase the sides of a rectangular park by 20% , then, what is the total increase in the area of that park ?

• A. 21 %
• B. 33 %
• C. 42 %
• D. 44 %

Answer: (D)

Let length of park = L and breadth of park = B Original Area = BL m2 New Length = 120L/100 = 6L/5 New Breadth = 120B/100 = 6B/5 New Area = 36LB/25 m2 so, Change in area = New – Original = 11LB/25 m2 % increase = Change / original * 100 = 44%

Question 5

The sum of the digits in the unit place of all the 4 digit numbers formed with the help of 3, 4, 5 and 6 taken all at a time is:

• A. 18
• B. 108
• C. 432
• D. 144

Answer: (B)

Required sum = 3!(3 + 4 + 5 + 6) = 108 [If we fix 3 of the unit place, other three digits can be arranged in ways similarly for 4, 5, 6.]

Question 6

Choose the one that best fits the sentence below.

The state’s duty is to _______ the safety of its citizen

• A. assure
• B. insure
• C. ensure
• D. make sure

Answer: (C)

Question 7

Cocaine will have pernicious effect on your physical fitness.

Find synonym of the underlined word.

• A. insidious
• B. malicious
• C. prolonged
• D. boggling

Answer: (B)

Question 8

Choose the one that best fits the sentence below.

The _______ of glory lead but to the ______ 

• A. path, grave
• B. ways, happiness
• C. acts, prosperity
• D. achievements, suffering

Answer: (A)

Question 9

Gardener said to me, “Don’t pluck the beautiful flowers.”

Select the appropriate Indirect Speech of the above.

• A. Gardner forbade me to pluck the flowers.
• B. Gardner forbade me not to pluck the flowers.
• C. Gardner told me to pluck the flowers.
• D. Gardner told me that I should not pluck the flowers.

Answer: (A)

Question 10

I haven’t had a call from the office about the meeting ________ last Monday.

Select the appropriate word to fill in the blank from the given options

• A. till
• B. since
• C. for
• D. before

Answer: (B)