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# Numeric Entry GRE Sample Questions 1

## GRE Numeric Entry Sample Questions

1. Question :

A light bulb blinks at 12 noon. It then blinks after 4 seconds, then after 8 seconds, then after 12 seconds and so on.

How many times shall it have already blinked until it blinks at12.08pm?

Correct Answer: 15

Explanation:

The seconds after which the light bulb blinks are 0, 4, 8, 12 â€¦These form an AP with common difference 4 and first term 0.

Let the number of times it blinks in 8 minutes be n.

Sum of n terms = 8*60 = 480

Sum of n terms in an AP where a is the first term and d is the common difference is given by

Sn = (n/2)[2a+(n-1)d]

(n/2)[2*0+4(n-1)] = 480

2n^2-2n-480=0

n^2-n-240=0

n^2-16n+15n-240=0

n(n-16)+15(n-16)=0

n=16

The bulb had already blinked 15 times before it blinked at 12.08 pm

2. Question :

The weight of a woman reduces by 10% every year. If she weighs 100kg today, then after how many years will her weight be 72.9 kg?

Correct Answer: 3 years

Explanation:

This problem is similar to a compound interest problem where the rate is negative. Let the number of years be n.

Weight = 100(1-10/100)^n = 72.9

100(0.9)^n = 72.9

(0.9)^n = 0.729

n = 3

Her weight will be 72.9 kg afer 3 years

3. Question :

The LCM of 3/4, 5/6 and 7/8 is ..../2. Fill in the blank with the appropriate number.

Correct Answer: 105

Explanation:

LCM of 3, 5 and 7 = 3*5*7 = 105

HCF of 4, 6 and 8 = 2

Required LCM = 105/2

The number to be filled in the blank is 105

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