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Q:

Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

A) 6	B) 8
C) 9	D) 10

Answer & Explanation Answer: B) 8

Explanation:

Average speed = total distance / total time

Total distance covered = 6 miles; total time = 45 minutes = 0.75 hours

Average speed = 6/ 0.75 = 8 miles/hour

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Filed Under: Height and Distance
Exam Prep: GRE

Q:

x = y - (50/y), where x and y are both > 0

If the value of y is doubled in the equation above, the value of x will

A) decrease	B) stay the same
C) increase four fold	D) increase to more than double

Answer & Explanation Answer: D) increase to more than double

Explanation:

The best approach is to pick a number that satisfies the rules that x and y are greater than 0. So for example you could choose 25 for y.

The value of x before doubling is then 25 - 50/25 = 23

The value after doubling y will be 50 - 50/50 = 49, which is more than double.

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Filed Under: Numbers
Exam Prep: GRE

Q:

A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?

A) 76	B) 35
C) 49	D) 38.5

Answer & Explanation Answer: D) 38.5

Explanation:

Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5

The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5

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Filed Under: Image Analysis
Exam Prep: GRE

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

Q:

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A) 1 litre paint	B) 1 litre water
C) ½ litre water and one litre paint	D) ½ litre paint and one litre water

Answer & Explanation Answer: A) 1 litre paint

Explanation:

At the moment the paint is 3 liters of paint and 3 liters of water. We need to add to this to make the new ratio 2 liters paint to 1.5 liters water. As this is equivalent to 4 : 3 we can see that we have the right amount of water, and just need 1 liter of paint to make it correct.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

Q:

A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?

A) 11pm	B) 12pm
C) 1pm	D) 2pm

Answer & Explanation Answer: A) 11pm

Explanation:

Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

356/15 hrs of this clock = 24 hours of correct clock

89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.

= 90 hrs of correct clock.

So, the correct time is 11 p.m.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If log 2 = 0.30103, Find the number of digits in 2⁵⁶ is

A) 17	B) 19
C) 23	D) 25

Answer & Explanation Answer: A) 17

Explanation:

$\log (2^{56})$ =56*0.30103 =16.85768.

Its characteristics is 16.

Hence, the number of digits in $2^{56}$ is 17.

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?

A) n is odd	B) n + 1 cannot be a prime number
C) (n + 2) divided by 7 has remainder 2	D) n + 3 is divisible by 5

Answer & Explanation Answer: D) n + 3 is divisible by 5

Explanation:

You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.

From this series we can see that n does not have to be odd.

Also n + 1 can be a prime because, for example, 12 + 1 = 13

And (n + 2) / 7 has a remainder 2 in some cases but not all.

Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.

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Filed Under: Numbers
Exam Prep: GRE

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