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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:

Which number will complete the series?
1,8,27,64,125,216,________

A) 354	B) 343
C) 392	D) 245

Answer & Explanation Answer: B) 343

Explanation:

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Filed Under: Inserting The Missing Character
Exam Prep: Bank Exams

Q:

In $∆ ABC,$ ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40°	B) 75°
C) 90°	D) 105°

Answer & Explanation Answer: D) 105°

Explanation:

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Exam Prep: Bank Exams

Q:

Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is

A) Rs. 70	B) Rs. 50
C) Rs. 100	D) Rs. 120

Answer & Explanation Answer: A) Rs. 70

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

Q:

Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5 . The measure of fourth angle is

A) 120°	B) 60°
C) 30°	D) 80°

Answer & Explanation Answer: B) 60°

Explanation:

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

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