GRE Questions

Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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125 51492
Q:

6 : 18 :: 4 : ?

A) 14 B) 6
C) 16 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Here the given number analogy follows two patterns that,

18 --> 6 x 3

4

12 --> 4 x 3

 

OR

6

18 ----> 6x6/2 = 18

4

8 ----> 4x4/2 = 8

 

As 12 is not available in the options, 8 is correct answer.

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Filed Under: Analogy
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200 51478
Q:

Find out the wrong number in the following series:

5, 15, 30, 80, 180, 540, 1080

A) 540 B) 180
C) 30 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

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Filed Under: Odd Man Out
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6 51137
Q:

Exhibit : display :: send : ?

A) Stamp B) Receive
C) Show D) Emit
 
Answer & Explanation Answer: D) Emit

Explanation:

Here the given words represent synonyms.

Exhibit and Display are synonyms for each other. Similarly, Send and Emit are synonyms for each other.

 

Hence, Exhibit : display :: send : Emit.

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Filed Under: Analogy
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93 50588
Q:

A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 ½  years. Find the sum and the rate of interest.

A) 800, 14% B) 800, 13%
C) 800, 12% D) 800, 19%
 
Answer & Explanation Answer: B) 800, 13%

Explanation:

S.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 . 

S.I. for 2 years = Rs (156 x 23 x 2)= Rs 208. 

Therefore, Principal = Rs (1008 - 208) = Rs 800. 

Now, P = 800, T= 2 and S.I. = 208.

Therefore, Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%

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Filed Under: Simple Interest
Exam Prep: GRE

143 50076
Q:

What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?

A) Rs.325 B) Rs.545
C) Rs.560 D) Rs.550
 
Answer & Explanation Answer: A) Rs.325

Explanation:

Let each instalment be Rs.x .

 

1st year =  [x + (x * 12 * 2)/100] 

2nd year = [ x + (x *12 * 1)/100] 

3rd year = x 

Then, [x + (x * 12 * 2)/100] + [ x + (x *12 * 1)/100] + x =1092 

3x + ( 24x/100 ) + ( 12x/100 )  = 1092 

336x =109200

Therefore, x = 325 

Each instalment = Rs. 325

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Filed Under: Simple Interest
Exam Prep: GRE

204 49895
Q:

What has teeth but cannot bite?

A) Comb B) Saw
C) Zipper D) Gear
 
Answer & Explanation Answer: A) Comb

Explanation:

Saw, Zipper and Gear have teeth but can bite us. Comb have teeth but cannot bite.

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124 48841
Q:

Which digits will come in the place of '?' in the following series ?

372, 823, 644, 582, 46?, 8?7

A) 4, 4 B) 6, 2
C) 3, 2 D) 2, 5
 
Answer & Explanation Answer: B) 6, 2

Explanation:

Given series is 372, 823, 644, 582, 46?, 8?7

Here the series follow the rule that :
372 = 3+7+2 = 12
823 = 8+2+3 = 13
644 = 6+4+4 = 14
582 = 5+8+2 = 15
46? = 4+6+? = 16 => ? = 6
8?7 = 8+?+7 = 17 => ? = 2

So the missing numbers are 6 and 2

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Filed Under: Number Series
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21 48750