GRE Questions and Answers with Explanation

Q:

Find: S.l on Rs 68000 at $16 \frac{2}{3}$ 1 % per annum for 9 months

A) 6500	B) 7500
C) 8500	D) 9500

Answer & Explanation Answer: C) 8500

Explanation:

P = 68000, R = $\frac{50}{3}$ % & T = 9 months (3/4 years)

$S . I = \frac{p \times r \times t}{100} = [\frac{(6800 \times \frac{50}{3} \times \frac{3}{4})}{100}] = R s . 8500$

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Filed Under: Simple Interest
Exam Prep: GRE
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3 10759

Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27, what is the total amount ?

A) Rs. 159	B) Rs. 96
C) Rs. 147	D) Rs. 105

Answer & Explanation Answer: D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
= 20 : 9 : 6

Given L share is 27

=> 9 ------ 27
35 ------ ?

=> 105

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Filed Under: Ratios and Proportions
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11 10657

Q:

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A) 81	B) 78
C) 80.5	D) 81.5

Answer & Explanation Answer: D) 81.5

Explanation:

Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

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Filed Under: Average
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12 10628

Q:

Bhim has assembled a basket of fruit as a holiday gift for each of his friends- Santosh, Tarun, Ujjwal, and Varun. A total of fifteen pieces of fruits-five apples, five oranges and five pears are distributed among the four baskets according to the following conditions: Santosh , Tarun and Ujjwal will each receive exactly two different types of fruit. Varun will receive only apples. Tarun will receive more pieces of fruit than Santosh. Each basket includes at least three pieces of fruit.

1. If Varun’s basket contains more pieces of fruit than Tarun’s basket, then Tarun’s basket must contain:
I. Four pieces of fruit.
II. At least one orange.
III. At least one pear.

(a) I only (b) III only (c) Botha I and II (d) Both II and III

2. If Ujjwal’s basket contains more pieces of fruit than Tarun’s basket, all of the following must be false EXCEPT:

(a) Only Varun will receive apple

(b) Varun will receive exactly four apple.

(c) Ujjwal will receive exactly two apple.

(d) Tarun will receive exactly four pear.

Answer

1. Answer (b)

Santosh , Ujjwal and Varun must each receive at least three pieces, but Tarun must receive at least four pieces. The maximum number of pieces that any person may receive is six ( 6 + 3+ 3+3 = 15 ), and only Tarun may receive six pieces. Ujjwal and Varun each may receive as many as five pieces, while Santosh may receive only four pieces at maximum.
At least one pear.

2. Answer (c)

Varun may receive no more than five pieces and Tarun may receive no fewer than four pieces. As a result, if Varun receives more pieces than Tarun, then Varun must receive five pieces, and Tarun must receive four pieces. Thus, statement (a) must be true. Since Varun will receive five pieces, none of the other three friends will receive any apple, accordingly, each of the other three friends must receive at least one orange and at least one pear. Thus, statement (b) and (d) must be true.

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Subject: Deriving Conclusions From Passages Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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10 10620

Q:

There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?

A) Rs. 5422	B) Rs. 5489
C) Rs. 3972	D) Rs. 6145

Answer & Explanation Answer: C) Rs. 3972

Explanation:

Let p = Rs. 100.

Then, S.I is Rs. 50 and time = 5 years.

$∴ R = \frac{100 \times 50}{100 \times 5}$ = 10% p.a.

Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a.

C.I. = Rs. $12000 \times \{{(1 + \frac{10}{100})}^{3} - 1\}$ = Rs. 3972

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Filed Under: Compound Interest
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7 10560

Q:

An amount doubles itself in 15 years. what is the rate of interest ?

A) 7.85 %	B) 9.41%
C) 6.66 %	D) 4.21 %

Answer & Explanation Answer: C) 6.66 %

Explanation:

Let the principle be Rs. P
As the amount double itself the interest is Rs. P too
So P = P x r x 15/100
=> r = 100/15 = 20/3 % = 6.66 %.

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Filed Under: Simple Interest
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5 10549

Q:

If Theresa's daughter is my daughter's mother, what am I to Theresa?

A) Son-in-law	B) Daughter-in-law
C) Grand mother	D) Grand Daughter

Answer & Explanation Answer: A) Son-in-law

Explanation:

Given that If Theresa's daughter is my daughter's mother

It has 2 ways of Answers such that it depends on the sex of me. That is Male or Female.

1) If I am a Male :

My daughter's mother is my wife.

My wife is Teresa's daughter

=> I am Teresa's Son-in-law.

2) If I am a Female :

My daughter's mother is myself.

Myself Teresa's daughter.

=> I am Teresa's Daughter.

But in the given options only Son-in-law is available and daughter is not given.

So, Son-in-law is correct.

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Filed Under: Logic Puzzles
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25 10541

Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M	B) N & K
C) K & L	D) P & Q

Answer & Explanation Answer: C) K & L

Explanation:

Monday - N - Yellow

Tuesday - L - White

Wednesday - O - Red

Thursday - Q - Orange

Friday - M - Blue

Saturday - P - Grey

Sunday - K - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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Filed Under: Deriving Conclusions From Passages
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12 10528

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