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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
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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
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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:

Nepal Government announces public holidays during Nepalese President's visit to _____

A) India B) China
C) Japan D) Russia
 
Answer & Explanation Answer: A) India

Explanation:

Nepalese President Bidya Devi Bhandari is arriving in New Delhi on a five-day visit to India. This will be Bhandari's first foreign trip after assuming the office in October 2015, following the promulgation of the new Constitution in Nepal.

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Filed Under: General Awareness
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Q:

Name the state that has become the first state to launch a special awareness drive to ensure that transgenders in the state register as voters.

A) Tripura B) Mizoram
C) Maharashtra D) Haryana
 
Answer & Explanation Answer: C) Maharashtra

Explanation:

Maharashtra has become the first state to launch a special awareness drive to ensure that transgender in the state register as voters in greater numbers.

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Filed Under: General Awareness
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