GATE - APTITUDE 2019 GG

 1) The fishermen, _______ the flood victims owed their lives, were rewarded by the

government.

(A) whom

(B) to which

(C) to whom

(D) that

Solution:

• The phrase "owed their lives" requires a preposition ("to") to indicate the direction of the action. The flood victims owe their lives to the fishermen. Hence, "to whom" is grammatically necessary to convey this relationship.

• "Whom" is used in formal English as the object of a verb or preposition. In this case, "to whom" is the object of the verb "owed" and the preposition "to."

2) Some students were not involved in the strike.

If the above statement is true, which of the following conclusions is/are logically

necessary?

1. Some who were involved in the strike were students.

2. No student was involved in the strike.

3. At least one student was involved in the strike.

4. Some who were not involved in the strike were students.

(A) 1 and 2

(B) 3

(C) 4

(D) 2 and 3

Solution: The statement directly says that "some students were not involved," so this conclusion is correct

3) The radius as well as the height of a circular cone increases by 10%. The percentage

increase in its volume is ______.

(A) 17.1

(B) 21.0

(C) 33.1

(D) 72.8

Solution:

The formula for the volume of a cone is:

V=1/3 πr²h

When the radius and height of the cone increase by 10%, the new radius becomes r′=1.1r

the new height becomes h′=1.1h

V’=1/3 π r’² h’

% of increase = ( V’ - V ) / V *100

= 33.1 %

4) Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following

the directions given below:

1. No two odd or even numbers are next to each other.

2. The second number from the left is exactly half of the left-most number.

3. The middle number is exactly twice the right-most number.

Which is the second number from the right?

(A) 2

(B) 4

(C) 7

(D) 10

Solution :

• The second number is half of the left-most number. Among the numbers, the only valid pair satisfying this is:

  • Left-most number: 10

  • Second number: 5 ( because 10/2)

• The middle number is twice the right-most number. Among the remaining numbers 7,4,27, 4, 27,4,2, the only valid pair satisfying this is:

  • Right-most number: 2

  • Middle number: 4

• The only number left is 7, and it must go in the fourth position to alternate odd and even numbers.

  Thus, the final sequence is:
  10, 5, 4, 7, 2

5) Until Iran came along, India had never been ________________ in kabaddi.

(A) defeated

(B) defeating

(C) defeat

(D) defeatist

Solution :

• "Defeated" is the past participle form of "defeat."

• The structure "had never been defeated" is correct and conveys that India had not lost in kabaddi until Iran came along.

6) Since the last one year, after a 125 basis point reduction in repo rate by the Reserve Bank

of India, banking institutions have been making a demand to reduce interest rates on small

saving schemes. Finally, the government announced yesterday a reduction in interest rates

on small saving schemes to bring them on par with fixed deposit interest rates.

Which one of the following statements can be inferred from the given passage?

(A)Whenever the Reserve Bank of India reduces the repo rate, the interest rates on small

saving schemes are also reduced

(B) Interest rates on small saving schemes are always maintained on par with fixed deposit

interest rates

(C) The government sometimes takes into consideration the demands of banking

institutions before reducing the interest rates on small saving schemes

(D)A reduction in interest rates on small saving schemes follow only after a reduction in

repo rate by the Reserve Bank of India

Solution : The passage explicitly mentions that banking institutions demanded a reduction in interest rates on small saving schemes, and the government eventually acted on it. This supports the inference that the government sometimes considers such demands before taking action.

7) In a country of 1400 million population, 70% own mobile phones. Among the mobile

phone owners, only 294 million access the Internet. Among these Internet users, only half

buy goods from e-commerce portals. What is the percentage of these buyers in the country?

(A) 10.50

(B) 14.70

(C) 15.00

(D) 50.00

Solution :

Total population of the country = 1400 million

• Percentage of the population that owns mobile phones = 70%

• Mobile phone owners who access the Internet = 294 million

• Internet users who buy goods online = half of 294 million = 294 ÷ 2 = 147 million

• Percentage of buyers = (No. of buyers/Total population)

  = (147/1400)*100

  = 10.5 %

8) The nomenclature of Hindustani music has changed over the centuries. Since the medieval

period dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to

refer to vocal and instrumental styles, respectively. With the institutionalization of music

education the term gharana became acceptable. Gharana originally referred to hereditary

musicians from a particular lineage, including disciples and grand disciples.

Which one of the following pairings is NOT correct?

(A) dhrupad, baani

(B) gayaki, vocal

(C) baaj, institution

(D) gharana, lineage

Solution : The text explicitly states that baaj refers to instrumental styles, not an institution.

9) Two trains started at 7AM from the same point. The first train travelled north at a speed of

80km/h and the second train travelled south at a speed of 100 km/h. The time at which they

were 540 km apart is ______ AM.

(A) 9

(B) 10

(C) 11

(D) 11.30

Solution :

• Train 1 (northbound) speed = 80 km/h

• Train 2 (southbound) speed = 100 km/h

• Total distance between them when apart = 540 km

• Both trains start at 7:00 AM.

The distance between them increases at the combined speed of the two trains:

Combined speed=80+100=180 km/h.

Time = Distance / Speed

= 540 km / 180 km

= 3 km

The trains started at 7:00 AM, so adding 3 hours gives = 7+3 = 10 AM

10) “I read somewhere that in ancient times the prestige of a kingdom depended upon the

number of taxes that it was able to levy on its people. It was very much like the prestige of

a head-hunter in his own community.”

Based on the paragraph above, the prestige of a head-hunter depended upon ___________

(A) the prestige of the kingdom

(B) the prestige of the heads

(C) the number of taxes he could levy

(D) the number of heads he could gather

Solution :

• A kingdom's prestige depended on the number of taxes it could levy on its people.

• The comparison implies that a head-hunter's prestige similarly depended on the number of heads he could gather, just as the kingdom's prestige depended on taxes.