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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ?

A) 1.251 % B) 3.125 %
C) 7.21 % D) 9.451 %
 
Answer & Explanation Answer: B) 3.125 %

Explanation:

Taking the 2 investments to be 3x and 5x respectively
Total income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25
Therefore, Gain% = 0.25/8 x 100 = 3.125 %.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

11 11220
Q:

John sells his laptop to Mark at a loss of 20% who subsequently sells it to Kevin at a profit of 25%. Kevin after finding some defect in the laptop, returns it to Mark but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Kevin’s loss if John had paid Rs. 1,75,000 for the laptop ?

A) Rs.16,500 B) Rs.17,500
C) Rs.14,200 D) Rs.15,520
 
Answer & Explanation Answer: B) Rs.17,500

Explanation:

Let’s assume John bought the laptop for Rs. 100
He then sells it to Mark at a loss of 20% => Rs. 80,
Who consequently sells it to Kevin at a profit of 25% =>  Rs. 100
Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10
Therefore, for Rs. 100 there is a loss of Rs. 10,
Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.

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Filed Under: Profit and Loss
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15 11216
Q:

In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A) 9 B) 8
C) 7 D) 7.5
 
Answer & Explanation Answer: A) 9

Explanation:

Speed in still water = Average of Speed in Upstream and speed in Downstream

= 1/2 (12 + 6) kmph = 9 kmph.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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21 11216
Q:

A Group consists of 4 couples in which each of the  4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?

A) 1152 B) 1278
C) 1296 D) None of these
 
Answer & Explanation Answer: A) 1152

Explanation:

Case I :  MW  MW  MW  MW

 

Case II:  WM  WM  WM  WM

 

Let us arrange 4 men in 4! ways, then we arrange 4 women in 4P4 ways at 4 places either left of the men or right of the men. Hence required number of arrangements

 

   4! × 4P4  + 4! × 4P4  = 2 × 576 = 1152

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Filed Under: Permutations and Combinations
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4 11210
Q:

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Volume of rod = πr2h = πr2×r = πr3  

Volume of one spherical ball =r/2 

Volume of the spherical ball = 43πr38  

Number of balls=Volumeof rod/volumeof one ball

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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15 11205
Q:

What was the day of the week on 28th May, 2006?

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

Explanation:

ke

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Filed Under: Calendar

16 11200
Q:

Arzoo was born on 25th January 2015, while Aastha was born 554 days later. On which date was Aastha born?

A) 2nd August 2016 B) 31st July 2016
C) 1st August 2016 D) 3rd August 2016
 
Answer & Explanation Answer: C) 1st August 2016

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

79 11172
Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11 B) 9 : 15 : 1
C) 20 : 15 : 9 D) 21 : 7 : 3
 
Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
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12 11171