Quantitative Aptitude - Arithmetic Ability Questions

Q:

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

A) 1 : 4 B) 4 : 1
C) 1 : 2 D) 2 : 1
 
Answer & Explanation Answer: A) 1 : 4

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

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Q:

By increasing the price of entry ticket to a fair in the ratio 7:17, the number of visitors to the fair has decreased in the ratio 9:5. In what ratio has the total collection increased or decreased?

A) decreased in the ratio 85:63 B) increased in the ratio 35:153
C) increased in the ratio 63:85 D) decreased in the ratio 153:35
 
Answer & Explanation Answer: C) increased in the ratio 63:85

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If 3a – (3/a) – 3 = 0, then what is the value of a3  (1/a3) + 2?

A) 0 B) 2
C) 4 D) 6
 
Answer & Explanation Answer: D) 6

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the time increases by 5 years, then simple interest increases by Rs 3000 on a sum of Rs 5000. What is the rate (in percentage) of interest per annum?

A) 15 B) 12
C) 10 D) 6
 
Answer & Explanation Answer: B) 12

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Filed Under: Simple Interest
Exam Prep: Bank Exams , CAT

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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

If cosA + cos2A = 1 then the value of sin2A + sin4A is

A) 1/2 B) 1/4
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Q:

If a triangle has its orthocenter and centroid of equal length, then which of the following is TRUE about the triangle?

A) Right angled B) Equilateral
C) Scalene D) Obtuse angled
 
Answer & Explanation Answer: B) Equilateral

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Q:

K is 5 years older to H. H is 3 years younger to R. R is 6 years older to C. C is 7 years younger to L. Who is the eldest?

A) H B) K
C) R D) L
 
Answer & Explanation Answer: B) K

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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