GRE Questions and Answers with Explanation

Q:

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ?

A) 39 days	B) 37 days
C) 35 days	D) 33 days

Answer & Explanation Answer: C) 35 days

Explanation:

Distance d = 1200km
let S be the speed

he walks 15 hours a day(i.e 24 - 9)
so totally he walks for 70 x 15 = 1050hrs.

S = 1200/1050 => 120/105 = 24/21 => 8/7kmph

given 1 1/2 of previous speed
so 3/2 * 8/7= 24/14 = 12/7

New speed = 12/7kmph

Now he rests 10 hrs a day that means he walks 14 hrs a day.

time = 840 x 7 /12 => 490 hrs
=> 490/14 = 35 days

So he will take 35 days to cover 840 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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20 14396

Q:

Try the logical puzzle?

logical_puzzle1538026382.jpg image

A) 24	B) 25
C) 13	D) 12

Answer & Explanation Answer: C) 13

Explanation:

The man has 12 sons and the 12 sons has each one sister.

=> 12 sons + 1 sister = 13 children.

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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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50 14343

Q:

If $\log_{7} (2)$ = m, then $\log_{49} (28)$ is equal to ?

A) 1/(1+2m)	B) (1+2m)/2
C) 2m/(2m+1)	D) (2m+1)/2m

Answer & Explanation Answer: B) (1+2m)/2

Explanation:

$\log_{49} (28) = \frac{1}{2 \log_{7} (7 \times 4)}$

= $\frac{1}{2} + \frac{1}{2} (2 \log_{7} (2))$
= $\frac{1}{2} + \log_{7} (2)$
= $\frac{1}{2} + m$
= $\frac{1 + 2 m}{2}$ .

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Filed Under: Logarithms
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

63 14198

Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months	B) 8 months
C) 3 months	D) 4 months

Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into (12 – x ) months.

$\frac{76000 \times 12}{57000 \times (12 - x)} = \frac{2}{1}$

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4

After 4 months amar join the business.

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Filed Under: Partnership
Exam Prep: GRE , GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

7 14035

Q:

40% of 265 + 35% of 180 = 50% of ?

A) 383	B) 338
C) 84.5	D) 253.5

Answer & Explanation Answer: B) 338

Explanation:

We know that 40% = $\frac{2}{5}$

40% of 265 + 35% of 180 = 50% ?

$\frac{2}{5}$ x 265 + 35% of 180 = 50% ?

We know that (35% of 180 = 180% of 35) & 180% = $\frac{9}{5}$

$\frac{2}{5}$ x 265 + $\frac{9}{5}$ x 35 = 50% ?

106 + 63 = 50% ?

?= 2 x 169 = 338.

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Filed Under: Percentage
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10 14031

Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.

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Filed Under: Numbers
Exam Prep: GRE

22 13954

Q:

Alpha is to Omega as First is to what?

A) Last	B) Beta
C) Gamma	D) End

Answer & Explanation Answer: A) Last

Explanation:

We know that, ALpha and Omega are the first and last lettrs of in the Greek alphabet. Hence, alpha is to omega as first is to last.

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Filed Under: Alphabet Test
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21 13928

Q:

If V = 12R / (r + R) , then R =

A) Vr / (12 - V)	B) Vr + (V /12 )
C) V	D) V / (r - 12 )

Answer & Explanation Answer: A) Vr / (12 - V)

Explanation:

We have to rearrange the equation to make R the subject.

Start by cross multiplying by (r + R); V (r + R) = 12R

Multiply out the bracket Vr + VR = 12R

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Filed Under: Numbers
Exam Prep: GRE

12 13893

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