Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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1 1883
Q:

The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter?

A) 1536 B) 1024
C) 718 D) 2072
 
Answer & Explanation Answer: A) 1536

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: CAT , Bank Exams , AIEEE

10 1881
Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

5 1881
Q:

A sum of money is invested at 20% compound interest (compounded annually). It would fetch Rs. 723 more if interest is compounded half-yearly. The sum

A) Rs.15,000 B) Rs.30,000
C) Rs.20,000 D) Rs.7,500
 
Answer & Explanation Answer: B) Rs.30,000

Explanation:
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Filed Under: Compound Interest
Exam Prep: Bank Exams

3 1881
Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

1 1881
Q:

A man donates 30% of his wealth to charity. 30% and 25% of the remaining wealth to his wife and son respectively. The rest he divides equally between his three daughters. One of his daughter gets Rs 42 lakh as her share. What was the man's wealth (in Rs lakhs)?

A) 280 B) 400
C) 500 D) 350
 
Answer & Explanation Answer: B) 400

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

0 1881
Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? 499.99 + 1999 ÷ 39.99 × 50.01=?

A) 3200 B) 2700
C) 3000 D) 2500
 
Answer & Explanation Answer: C) 3000

Explanation:

500+2000÷40×50=?

?= 500+(2000÷40)×50

?= 500+50×50

?=500+2500

?=3000

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1881
Q:

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3 B) 66 2⁄3
C) 33 2⁄3 D) 66 1⁄3
 
Answer & Explanation Answer: B) 66 2⁄3

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 1880