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Q:

Which of the following can be used to illustrate that not all prime numbers are odd? 

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

The only even numbers in the list are 2 and 4, but 4 is not a prime. So 2 can be used to illustrate the statement that all primes are not odd.

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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 machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles

A) 60bm/c B) bm/60c
C) bc/60m D) 60b/cm
 
Answer & Explanation Answer: B) bm/60c

Explanation:

Substitute sensible numbers and work out the problem. Then change the numbers back to letters. For example if the machine puts 6 caps on bottles in 2 minutes, it will put 6 /2 caps on per minute, or (6 /2) x 60 caps per hour. Putting letters back this is 60c/m.If you divide the required number of caps (b) by the caps per hour you will get time taken in hours. This gives bm/60c

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Filed Under: Time and Distance
Exam Prep: GRE

Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above
 
Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

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Filed Under: Area
Exam Prep: GRE

Q:

A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

A) 30 B) 24
C) 12 D) 8
 
Answer & Explanation Answer: C) 12

Explanation:

When the larger cube is cut into smaller cubes, the corner cubes will have paint on three sides. The cubes in the middle of the faces will have paint on only one side, but the cubes cut from the edges will have paint on two sides. In this case, there will be only one cube one each edge (excluding the corners), and since there are 12 edges, there will be 12 cubes with paint on two sides.

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Filed Under: Numbers
Exam Prep: GRE

Q:

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

A) 48 min. past 12. B) 46 min. past 12.
C) 45 min. past 12. D) 47 min. past 12.
 
Answer & Explanation Answer: A) 48 min. past 12.

Explanation:

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours. 

24 hours 10 min. of this clock = 24 hours of the correct clock. 

1456 hrs of this clock = 24 hours of the correct clock. 

29 hours of this clock = 24*6145*29 hrs of the correct clock 

= 28 hrs 48 min of the correct clock. 

Therefore, the correct time is 28 hrs 48 min. after 8 a.m. 

This is 48 min. past 12.

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

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(256) =56*0.30103 =16.85768.

 

Its characteristics is 16.

 

Hence, the number of digits in 256 is 17.

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