Aptitude and Reasoning Questions

Q:

If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?

A) 1.44 % B) 2.02 %
C) 1.04 % D) 2.25 %
 
Answer & Explanation Answer: D) 2.25 %

Explanation:

SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car.

In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100
= (15)(15)/100 % = 2.25%
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Filed Under: Profit and Loss
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Q:

At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?

A) 11/24 B) 1/5
C) 16/25 D) 6/5
 
Answer & Explanation Answer: C) 16/25

Explanation:

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

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Filed Under: Ratios and Proportions
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Q:

Josh borrowed $250 from his mother to buy an electric scooter. Josh will pay her back in 1 year with 3% simple annual interest. How much interest will Josh pay?

A) 7.50 B) 8.50
C) 9.50 D) 10.50
 
Answer & Explanation Answer: A) 7.50

Explanation:

I=prt/100

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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Q:

Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ? 

A) 134 B) 137
C) 139 D) 141
 
Answer & Explanation Answer: B) 137

Explanation:
This can be done as,
 
(11 × 92)  -  (5 × 89)  -  (5 × 86) 
 
= 1012- 445 - 430 = 137
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Filed Under: Average
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Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564 B) 1600
C) 1632 D) 1714
 
Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = 75100 x P = 3P4

M's share = 54 x 3P4 = 15P16

15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600 

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Filed Under: Partnership
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14 6485
Q:

In a race of 800m Kaushik gives Piyush a start of 200m and then loses the race by 20 seconds. What is the speed of Piyush and Kaushik respectively ? If the ratio of respective speeds be 3:2.

Answer

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,


 SkSp = 800t+20600t = 23since given ratio


 


t = 20 s


 


Speed of Piyush = Sp = 600/20 = 30 m/s


 


and    Speed of Kaushik = 800/40 = 20 m/s

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
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8 6484
Q:

You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ?

A) 25 kmph B) 24 kmph
C) 26 kmph D) 22 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Average speed=total distance/total time
Let distance to store be  K
then, total time =(K/20)+(K/30)=K/12
and, total time =(2K)
so average speed= 2K / (K/12) = 24kmph.

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Filed Under: Time and Distance
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Q:

In the case of how many letters of the word RAIMENT will their order in the word and that when the letters are arranged in the alphabetical order, remain the same?

A) None B) One
C) Two D) Three
 
Answer & Explanation Answer: D) Three

Explanation:

After the rearrangement of letters, the new order of the letters is as follows:

New Order : A E I M N R T

Given word: R A I M E N T

Clearly, positions of three letters I, M and T will remain unchanged.

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Filed Under: Alphabet Test

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