Aptitude and Reasoning Questions

Q:

In how many different ways can five persons stand in a line for a group photograph?

A) 120 B) 240
C) 360 D) 720
 
Answer & Explanation Answer: A) 120

Explanation:

This is the number of permutations of five things taken all at a time.

 

Therefore, answer = 5P5 = 120 ways

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Q:

Consider the given statement and decide which of the given assumptions is/are implicit.

Statement :
The train fares have increased by 25% with immediate effect.

Assumptions :
1. People still prefer travelling by train despite the increase.
2. Other modes of commutation may also increase their fares.

 

 

A) Only assumption 2 is implicit B) Neither assumption 1 nor 2 is implicit
C) Only assumption 1 is implicit D) Both assumptions 1 and 2 are implicit
 
Answer & Explanation Answer: C) Only assumption 1 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

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Q:

What is the probability that a leap year selected at random, will contain 53 sundays?

A) 1/7 B) 1/3
C) 2/7 D) 4/7
 
Answer & Explanation Answer: C) 2/7

Explanation:

In a leap year,there are 366 days=52 weeks and 2 days

Remaining favourable 2 days can be sunday and monday or saturday and sunday

Exhaustive number of cases =7

Favourable number of cases =2

So,required probability=2/7

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Q:

An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?

A) 45 gm B) 50 gm
C) 55 gm D) 60 gm
 
Answer & Explanation Answer: B) 50 gm

Explanation:

Initial quantity of copper =80100 x 50 = 40 g 

And that of Bronze = 50 - 40 = 10 g

Let 'p' gm of copper is added to the mixture

=> 50 + p x 90100 = 40 + p

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card  drawn is neither a spade nor a king.

A) 0 B) 9/13
C) 1/2 D) 4/13
 
Answer & Explanation Answer: B) 9/13

Explanation:

There are 13 spades ( including one king). Besides there are 3 more kings in remaining 3 suits

 

Thus   n(E) = 13 + 3 = 16

 

Hence nE¯=52-16=36 

  

Therefore, PE=3652=913

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Filed Under: Probability

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Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

B G N
D J R
G N ?

A) U B) V
C) W D) X
 
Answer & Explanation Answer: C) W

Explanation:

 The letters in the first row follow the sequence +5, +7.

The letters in the second row follow the sequence +6, +8.
In the third row, the first letter G moves 7 steps forward to give the second letter N.
Clearly, the missing letter will be 9 steps ahead of N i.e. W.

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Q:

Directions:

Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box.

Question:

Which combination represents the position of C and its colour?

A) 6-Green B) 6-Red
C) 5-Purple D) 7-Blue
 
Answer & Explanation Answer: D) 7-Blue

Explanation:

From the given information the arrangement can be done as follows:

 

 Position  Box  Colour

 

      7         C       Blue
      6         F       Green
      5         B       Purple
      4         E       Orange
      3         G       Pink
      2         A       Red
      1         D       Yellow

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Filed Under: Logic
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

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Q:

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

A) 23024 B) 24023
C) 23023 D) 25690
 
Answer & Explanation Answer: C) 23023

Explanation:

Choose 2 juniors and 2 seniors.

 

14C2*23C2 = 23023

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