Quantitative Aptitude - Arithmetic Ability Questions

Q:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days B) 24 days
C) 26 days D) 12 days
 
Answer & Explanation Answer: C) 26 days

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

A) 50.3 B) 49.6
C) 51 D) 52.4
 
Answer & Explanation Answer: C) 51

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The third proportional of two numbers 4 and 20 is

A) 36 B) 40
C) 100 D) 60
 
Answer & Explanation Answer: C) 100

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

Marked price of a chair is Rs 800 and discount is 15%. What is additional discount (in percentage) should be offered to the customer to bring the price of chair to Rs 578?

A) 15 B) 10
C) 16.5 D) 17.5
 
Answer & Explanation Answer: A) 15

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

What is the value of Cot 45°+ 1/3 Cosec 60°?

A) √3 + 2 B) (9 + 2√3)/9
C) √3 D) (2√2 + 3)/√6
 
Answer & Explanation Answer: B) (9 + 2√3)/9

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3  3xyz?

A) 81 B) 361
C) 729 D) 6561
 
Answer & Explanation Answer: C) 729

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a  b)2 = a2 + b2 -2ab  16 = a2 + b2  90  a2 + b2 = 106 a3  b3 = (a  b) (a2 + b2 + ab)  a3  b3 = 4 X (106 + 45)  a3  b3 = 4 X 151  a3  b3 = 604

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Filed Under: Simplification
Exam Prep: Bank Exams

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