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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
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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
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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
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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:

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 certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

A) 4% p.a.	B) 6% p.a.
C) 8% p.a.	D) 12% p.a.

Answer & Explanation Answer: D) 12% p.a.

Explanation:

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12%

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Filed Under: Profit and Loss
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Q:

Which new train is being flagged off by railway minister Suresh Prabhu in April 2017 ?

A) Double Deck Passenger Trains	B) High-speed rail
C) Metro train	D) Vistadome coach train

Answer & Explanation Answer: D) Vistadome coach train

Explanation:

Vistadome coach train flagged off in April 2017 is routed between Visakhapatnam to Araku valley station.

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

Kempegowda Festival was organized in which city ?

A) Hyderabad	B) Delhi
C) Mumbai	D) Chennai

Answer & Explanation Answer: B) Delhi

Explanation:

President Pranab Mukherjee inaugurated the Kempegowda Festival in New Delhi. The festival is organised by the NadaprabhuKempegowda Foundation.

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Filed Under: General Awareness
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