GRE Questions and Answers with Explanation

Q:

Out of 120 students in aschool, 5% can play all the three games Cricket, Chess and Carroms. If so happens that the number of players who can play any and only two games is 30. The number of students who can play the Cricket alone is 40. What is the total number of those who can play Chess alone or Carroms alone ?

A) 45	B) 44
C) 46	D) 24

Answer & Explanation Answer: B) 44

Explanation:

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Given U=120

5% of 120 = 6

Therefore, Students who can play Chess alone or Carroms alone = 120 - (30+40+6)= 44

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Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422	B) Rs. 5489
C) Rs. 4511	D) Rs. 6145

Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

Satish Ratio in profit will be= $16970 \times \frac{21}{79}$ = Rs. 4511

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Q:

Macro flowchart is also called as

A) Less Detail flowchart	B) More detail flowchart
C) Simple detailed flowchart	D) None of the above

Answer & Explanation Answer: A) Less Detail flowchart

Explanation:

A flowchart is a type of diagram that represents a workflow or process. A flowchart can also be defined as a diagrammatic representation of an algorithm, a step-by-step approach to solving a task.

Macro flowchart shows the outlines the main segments of program. Macro flowchart is also called as less detail flowchart.

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50 18770

Q:

What bet can never be won?

Answer

ALPHABET is the bet can never be won.

Workspace

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Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms	B) 60 kms
C) 45 kms	D) 30 kms

Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

$40 t = 35 (t + \frac{15}{60})$

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Q:

The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ?

A) 84 km/hr	B) 96 km/hr
C) 72 km/hr	D) 60 km/hr

Answer & Explanation Answer: A) 84 km/hr

Explanation:

Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.
Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.
Also, 6x = 72 => x = 12 km/hr
Therefore, the average speed of the car and train together is = $\frac{5 x + 9 x}{2}$ = 7x = 7 x 12 = 84 km/hr.

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Q:

At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ?

A) 66 sec	B) 55 sec
C) 36 sec	D) 24 sec

Answer & Explanation Answer: A) 66 sec

Explanation:

For ticking 6 times, there are 5 intervals.

Each interval has time duration of 30/5 = 6 secs

At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.

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26 18534

Q:

What is the right most integer of the expression $65776^{759} + 54697^{467}$ ?

A) 4	B) 6
C) 9	D) 0

Answer & Explanation Answer: C) 9

Explanation:

Last digit for the power of 6 is 6 (always)

Power cycle of 7 is 7, 9, 3, 1.

Now 467/4 gives a remainder of 3

Then the last digit is $7^{3}$ = 3

Last digit is 6 + 3 = 9.

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