Quantitative Aptitude - Arithmetic Ability Questions

Q:

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

A) 22, 10 B) 30, 2
C) 25, 7 D) 20, 12
 
Answer & Explanation Answer: C) 25, 7

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

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

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

ΔABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?

A) 6 B) 18
C) 21 D) 12
 
Answer & Explanation Answer: D) 12

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A fan is sold at a discount of 37.5%. If the marked price of the fan is Rs 7200, then what is the selling price (in Rs) of the fan?

A) 4500 B) 4350
C) 5240 D) 5120
 
Answer & Explanation Answer: A) 4500

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If a+bab=21 ,  then the value of (a-b) is

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

A) tan 2θ B) cot 2θ
C) cot θ D) cot 3θ
 
Answer & Explanation Answer: B) cot 2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Some one rupee, 50 paisa and 25 paisa coins make up rupees 93.75 and their numbers are in the proportion of 3 : 4 : 5. Find the number of each type of coins?

A) 42, 56, 70 B) 45, 60, 75
C) 40, 70, 75 D) 46, 58, 75
 
Answer & Explanation Answer: B) 45, 60, 75

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

A) 11750 B) 14100
C) 18800 D) 23500
 
Answer & Explanation Answer: C) 18800

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

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