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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
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Q:

Find the one which does not belong to that group ?

A) Neice	B) Daughter
C) Daughter-in-law	D) Mother

Answer & Explanation Answer: C) Daughter-in-law

Explanation:

All are blood relation except Daughter-in-law.

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Simplify the following equation ?

2003 x 2004 - 2001 x 2002 = ?

A) 8010	B) 8020
C) 8030	D) 8040

Answer & Explanation Answer: A) 8010

Explanation:

(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.

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Filed Under: Simplification
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Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?

A) 3 hrs	B) 6 hrs
C) 7 hrs	D) 5 hrs

Answer & Explanation Answer: B) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.

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