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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is

A) 640 cub.cm B) 720 cub.cm
C) 860 cub.cm D) 945 cub.cm
 
Answer & Explanation Answer: B) 720 cub.cm

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: AIEEE , Bank Exams , CAT
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5 3682
Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

2 3679
Q:

Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is

A) 1,00,000 B) 59,049
C) 3439 D) 6561
 
Answer & Explanation Answer: C) 3439

Explanation:

The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.

 

This can be done in 105ways, but '0' is there

 

So, the numbers starting with '0' are to be excluded is 94 numbers.

 

 Total 5 digit telephone numbers = 105- 94 = 3439

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 3676
Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:

A) 108.25 B) 112.20
C) 124.75 D) 125.25
 
Answer & Explanation Answer: C) 124.75

Explanation:

For an income of Rs. 756, investment = Rs. 9000. 

 

For an income of Rs.212,  investment =Rs.9000756×212 = Rs. 125.

 

For a Rs. 100 stock, investment = Rs. 125.

 

Market value of Rs. 100 stock = Rs.125-14= Rs. 124.75

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Filed Under: Stocks and Shares

3 3672
Q:

The average marks of 50 students in an examination was 65. It was later found that the marks of one student had been wrongly entered as 83 instead of 38. The correct average is?

A) 63.9 B) 64.5
C) 64.7 D) 64.1
 
Answer & Explanation Answer: D) 64.1

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

1 3668
Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A) 22.5% B) 25%
C) 20% D) 33.33%
 
Answer & Explanation Answer: B) 25%

Explanation:

As water costs free, water sold at cost price of milk gives the profit.

Required profit % = 5/20 x 100 = 5 x 5 = 25%.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
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19 3667
Q:

Sanjay's test marks in two subjects, English and Hindi are in the ratio 7 : 11. If he got 20 marks more in Hindi than in English, what are his marks in English?

A) 35 B) 55
C) 45 D) 65
 
Answer & Explanation Answer: A) 35

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 3664
Q:

An investment bond is offered to the public at 9% p.a. Louise buys a bond worth $2000 that will mature in 2 years. How much in total will Louise receive at the end of the 2 years?

A) 3360 B) 2360
C) 4360 D) 5360
 
Answer & Explanation Answer: B) 2360

Explanation:

I = (P x r x t)/100

I = $360

A = P+I

A = 2360

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

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