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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 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.

$\frac{145}{6}$ hrs of this clock = 24 hours of the correct clock.

29 hours of this clock = $24 * \frac{6}{145} * 29$ 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:

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

Q:

Branch of biology in which we study about relationship between living and their environment

A) Physiology	B) Genetics
C) Ecology	D) Geology

Answer & Explanation Answer: C) Ecology

Explanation:

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Filed Under: Biology

Q:

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

A) 0.75D	B) 0.76D
C) 0.765D	D) None of the above

Answer & Explanation Answer: C) 0.765D

Explanation:

If the price is reduced by 15 %, then the new price will be 0.85D

If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

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Filed Under: Percentage
Exam Prep: GRE

Q:

Branch of biology in which we study about cultivation of flowering plant

A) Phenology	B) Floriculture
C) Agronomy	D) Botany

Answer & Explanation Answer: B) Floriculture

Explanation:

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Filed Under: Biology

Q:

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A) 50%	B) 40%
C) 30%	D) 20%

Answer & Explanation Answer: A) 50%

Explanation:

Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

A) 3/2	B) 5/2
C) 7/2	D) 9/2

Answer & Explanation Answer: A) 3/2

Explanation:

R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius

Volume of cylinder/Volume of hemisphere = $\frac{{πr}^{3}}{\frac{2}{3} {πr}^{3}}$

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

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