Aptitude and Reasoning Questions

Q:

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A) 35/36 B) 17/36
C) 15/36 D) 1/36
 
Answer & Explanation Answer: A) 35/36

Explanation:

When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36

dice_thrown_simulataneously1532668754.png image

Required, the sum of the two numbers that turn up is less than 12

That can be done as n(E)

= { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5) }

= 35

Hence, required probability = n(E)/n(S) = 35/36.

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Filed Under: Probability
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Q:

Jason decides to borrow money for a holiday. If a personal loan is taken over 4 years with equal quarterly repayments at 12% p.a. flat rate (simple interest), calculate the effective rate of interest.

A) 22,588 B) 32.588
C) 42.588 D) 43.588
 
Answer & Explanation Answer: A) 22,588

Explanation:

Flat rate = 12%
n = 4 × 4
= 16

Effective rate =2n/(n+1) × flat rate

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Filed Under: Simple Interest
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Q:

If 27th February 2011 was Sunday, then 1st March 2012 will be what day of the week?

A) Thursday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Thursday

Explanation:
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Q:

In the following questions a letter-series is given, in which some letters are missing. The missing letters are given in the proper sequence as one of the alternatives. Choose the correct alternatives. _ nmmn _ mmnn _ mnnm _

A) mnnm B) nmmn
C) nmnm D) nnmm
 
Answer & Explanation Answer: D) nnmm

Explanation:

The series is nnmm/nnmn/nnmm/nnmm.
The pattern 'nnmm' is repeated.

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Q:

A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?

A) 48 kmph B) 50 kmph
C) 46 kmph D) 42 kmph
 
Answer & Explanation Answer: A) 48 kmph

Explanation:

we know that speed = distance traveled/time taken
let the total distance traveled by the car is 2x km.
then time taken by it to cover first half is x/60 hour.
and for second half is x/40 hour.
Then average speed= total distance travelled / total time taken.

 

i.e. 2xx60+x40

 

=> 2x5x120

 

= 48 kmph.

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Filed Under: Time and Distance
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Q:

The dates 3rd April, 2005; 6th August, 2010 and 5th December, 2013 when written in Date-Month-Year Form have a unique mathematical property. The Indian Independence Day of which year among the following has the same property?

A) 2017 B) 2016
C) 2018 D) 2015
 
Answer & Explanation Answer: A) 2017

Explanation:
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Q:

The average temperature of Monday to Wednesday was 37 C and of Tuesday to Thursday was 34 C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was ?

A) 35 c B) 36 c
C) 34 c D) 32 c
 
Answer & Explanation Answer: B) 36 c

Explanation:

Monday + Tuesday + Wednesday = 37 x 3 -----------(1)
Tuesday + Wednesday + Thursday = 34 x 3---------(2)
Thursday = 4/5 of Monday ------------------(3)
subtract eqn (1) from (2) we get,
Thursday - Monday = -9
=> Monday - Thursday = 9.......(4)
From (3) & (4), we get

So,Thursday = 36 C

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Filed Under: Simplification
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Q:

How many such pair of letters are there in the word ‘TROUBLED’ which have as many letters between them in the word as they have between them in the English alphabet?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

Explanation:

Hence there are two pairs

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