Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos 135° = x, then the value of x is

A) -1/√2 B) -√3/2
C) -1/2 D) 2
 
Answer & Explanation Answer: A) -1/√2

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

A) (0 , 13) B) (0, 5)
C) (0, -5) D) (0 , -13)
 
Answer & Explanation Answer: D) (0 , -13)

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A rectangular playground ground of length 125 m and width 75 m, has a walking strip of width 3 m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip?

A) 9375 sq.m B) 9000 sq.m
C) 9750 sq.m D) 8625 sq.m
 
Answer & Explanation Answer: B) 9000 sq.m

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in cm2)

A) 30 B) 15
C) 60 D) 45
 
Answer & Explanation Answer: A) 30

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Q:

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

A) 60 B) 54
C) 6 D) 27
 
Answer & Explanation Answer: B) 54

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The difference between the place values of 9 and 5 in the number 428693745 is

A) 90995 B) 99995
C) 89995 D) 8995
 
Answer & Explanation Answer: C) 89995

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:

 

A) 16hours B) 9hours
C) 10hours D) 15hours
 
Answer & Explanation Answer: D) 15hours

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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