Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

A) 1/5 B) 2/5
C) 3/5 D) 4/5
 
Answer & Explanation Answer: C) 3/5

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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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Q:

If by increasing the price of a ticket in the ratio 8:11 the number of tickets sold fall in the ratio 23:21 then what is the increase (in Rs) in revenue if revenue before increase in price of ticket was Rs 36,800?

A) 21250 B) 9400
C) 7850 D) 12850
 
Answer & Explanation Answer: B) 9400

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

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Q:

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are

A) 92 and 72 B) 83 and 63
C) 110 and 90 D) 64 and 44
 
Answer & Explanation Answer: C) 110 and 90

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm

A) 21 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: C) 18

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams

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Q:

In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: C) 90°

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Q:

The ratio of the present ages of Aman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be the Aman's age (in years) after 6 years?

A) 30 B) 48
C) 52 D) 54
 
Answer & Explanation Answer: D) 54

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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