Quantitative Aptitude - Arithmetic Ability Questions

Q:

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5 B) 15 : 2
C) 20 : 2 D) 25 : 2
 
Answer & Explanation Answer: D) 25 : 2

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2. 

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

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Filed Under: Ratios and Proportions
Exam Prep: GRE

220 27769
Q:

The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?

A) 8560 B) 8673
C) 8746 D) 8780.80
 
Answer & Explanation Answer: D) 8780.80

Explanation:

when interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest  Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.

As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.

If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

20 27737
Q:

The area of a square is 42.25 cm². Find its perimeter (in cm).

 

A) 52 B) 26
C) 28 D) 56
 
Answer & Explanation Answer: B) 26

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 27714
Q:

A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?

A) 6% B) 8%
C) 10% D) 12%
 
Answer & Explanation Answer: B) 8%

Explanation:

Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94. 

 

Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324. 

 

Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.

 

Therefore, his profit percentage = 24300x100 % = 8%

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

51 27679
Q:

The simple interest at y% for 'y' years will be Rs. y on a sum. Find the principal amount.


 

A) 100/y B) 100 x y
C) 100y2 D) 100 ÷ y2
 
Answer & Explanation Answer: A) 100/y

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

2 27655
Q:

A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:

A) 7 hours B) 8 hours
C) 12 hours D) 14 hours
 
Answer & Explanation Answer: D) 14 hours

Explanation:

If the total area of pump=1 part

The pumop take 2 hrs to fill 1 part 

The pumop take1 hour to fill 1/2 portion 

 

Due to lickage  

The pumop take 7/3 hrs to fill 1 part 

The pumop take1 hour to fill 3/7 portion 

Now the difference of area = (1/2-3/7)=1/14 

 

This 1/14 part of water drains in 1 hour 

Total area=1 part of water drains in (1x14/1)hours= 14 hours 

 

So the leak can drain all the water of the tank in 14 hours. 

Leak will empty the tank in 14 hrs

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

86 27647
Q:

Select the wrong number from the given series?

 

6, 12, 20, 32, 42, 56, 72

A) 32 B) 20
C) 72 D) 56
 
Answer & Explanation Answer: A) 32

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 27617
Q:

Consider the circle as shown in the figure and choose the correct option for this case.

 

 

 

 

A) QC || PB B) QC = 1/2 PB
C) QC is never parallel to PB D) QC || PB, QC = 1/2 PB
 
Answer & Explanation Answer: A) QC || PB

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 27591