GATE Questions

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Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = 2 x 5400 x 4100 = 432

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

A bottle has a mouth from which we used to drink water or any juice. But it cannot smile.

The given number series is 52, 56, 48, 64, 32, …

It follows a pattern that,

52

52 + 4 = 56

56 - 8 = 48

48 + 16 = 64

64 - 32 = 32

32 + 64 = 96

Therefore, the required next number in the given number series is 96.

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

Remaining work = 1 - 9/10 = 1/10

=> A & B together completes 1/10 of work in 4 days

=> 1 work can completed in ------ ? days

Let it be x days

=>  4110=x1

=> x = 40 days.

Hence, A & B together can complete the work in 40 days.

A Light-year is a distance that light travels in the vacuum in one Julian year (365.25 days).

The light-year is a unit of length used to express astronomical distances. It is about 9.5 trillion kilometers or 5.9 trillion miles. 

'Hypothesis' is a word that gives a brief explanation of the concepts based on the limited evidence. The word 'theory' is closest in meaning to it.