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Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit	B) 480 lit
C) 320 lit	D) 420 lit

Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ?

A) 20% p.a	B) 15% p.a
C) 18% p.a	D) 24% p.a

Answer & Explanation Answer: A) 20% p.a

Explanation:

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed ?

A) 1hr	B) 1 hr 20 min
C) 1 hr 10 min	D) 50 min

Answer & Explanation Answer: B) 1 hr 20 min

Explanation:

Let the distance and original speed be 'd' km and 'k' kmph respectively.

d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3

=> (5d - 4d)/4k = 1/3 => d = 4/3 k

Time taken to cover the distance at original speed

= d/k = 4/3 hours = 1 hour 20 minutes.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

A) 45	B) 48
C) 360	D) 36

Answer & Explanation Answer: A) 45

Explanation:

16200 = $2^{3} \times 3^{4} \times 5^{2}$

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

Required number = $3^{2} \times 5$ = 9x5 = 45.

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Filed Under: Problems on Numbers
Exam Prep: CAT , Bank Exams , AIEEE
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Q:

World hemophilia day is observed globally on ___________.

A) 18 April	B) 15 April
C) 21 April	D) 17 April

Answer & Explanation Answer: D) 17 April

Explanation:

World hemophilia day is observed globally on 17 April.

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Filed Under: Important Days and Years
Exam Prep: Bank Exams , CAT
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Q:

ISRO has signed a memorandum of understanding with which of the following company to help develop low-cost lithium-ion batteries for electric vehicles ?

A) SAIL	B) DRDO
C) BHEL	D) GAIL

Answer & Explanation Answer: C) BHEL

Explanation:

The Indian Space Research Organization (ISRO) has signed a memorandum of understanding with Bharat Heavy Electricals Limited (BHEL) to help develop low-cost lithium-ion batteries for electric vehicles.

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Filed Under: General Awareness
Exam Prep: Bank Exams , CAT
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Q:

The International Day for Monuments and Sites is observed globally on __________.

A) 19 April	B) 18 April
C) 21 April	D) 16 April

Answer & Explanation Answer: B) 18 April

Explanation:

Every year on 18 April, ICOMOS (International Council on Monuments and Sites) celebrates the International Day for Monuments and Sites (also called as World Heritage day), whose establishment was approved by the 22nd UNESCO General Conference in 1983.

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Filed Under: Important Days and Years
Exam Prep: Bank Exams , CAT
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Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1	B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀	D) ²²C₁₀ - 1

Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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

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