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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

Q:

A man’s average monthly expenditure for the first four months of the year was Rs. 231.25. For the next five months, the average monthly expenditure was Rs. 22.75 more than what it was during the first four months. If the person spent Rs. 605 in all during the remaining three months of the year, find what percentage of his annual income of Rs. 3500 did he save in the year?

A) 10%	B) 15%
C) 20%	D) 25%

Answer & Explanation Answer: C) 20%

Explanation:

A man's average monthly expenditure for the first four months of the year = Rs.231.25.
For four month = 231.25 * 4 = Rs. 925
For next five month he spend = 231.25 + 22.75 for one month.
In five month he spend = (231.25 + 22.75) X 5 = 1270
If the person spent Rs. 605 in all during the remaining three months of the year,
Total expense = 925+1270+605= 2800
Saving = 3500-2800 = 700
% saving = 700/3500 * 100 = 20%

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

$\frac{{(798 + 579)}^{2} - {(798 - 579)}^{2}}{798 x 579} =$

A) 2	B) 6
C) 4	D) 8

Answer & Explanation Answer: C) 4

Explanation:

⇒ 4(798 X 579) / (798 X 579)
⇒ 4

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a/(a+b) = 15/21, what is (a+b)/(a-b) is equal to?

A) 13/9	B) 23/11
C) 14/5	D) 21/9

Answer & Explanation Answer: D) 21/9

Explanation:

a/(a + b) = 15/21 → a = 15, a + b = 21

→ b = 21– 15 = 6
⇒ a – b =15 – 6 = 9
⇒ (a + b)/(a – b) = 21/9

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

A) 4 kg	B) 5 kg
C) 8 kg	D) 3 kg

Answer & Explanation Answer: A) 4 kg

Explanation:

Let the weight of vessel be x
Weight of water = 24 – x
⇒ (24 – x)/4 + x = 9
⇒ 24 – x + 4x = 36
⇒ 3x = 12
⇒ x = 4 kg

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years	B) 62 Years
C) 42 Years	D) 69 Years

Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

The transport phenomenon occurs only in _____ state of a gas and is ______

A) Non-equilibrium, irreversible	B) Non-equilibrium, reversible
C) equilibrium, irreversible	D) equilibrium, reversible

Answer & Explanation Answer: C) equilibrium, irreversible

Explanation:

The transport phenomenon occurs only in equilibrium state of a gas and is irreversible.

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Filed Under: Physics
Exam Prep: Bank Exams

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