6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :

A) 33	B) 34
C) 33	D) None of these

Answer & Explanation Answer: C) 33
Explanation:

Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e,

$25 < \frac{26 + 29 + n + 35 + 43}{5} < 35$

=> 125 < 26+29+n+35+43 < 175

=> 125 < 133 + n < 175

=> n < 42

Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for every integer n.

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Filed Under: Average

9 11325

Q:

From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

A) 91	B) 104
C) 109	D) 98

Answer & Explanation Answer: A) 91

Explanation:

We first count the number of committee in which

(i). Mr. Y is a member
(ii). the ones in which he is not

Case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.
Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).

We can choose 1 more in5+ $2 C_{1}$ =7 ways.

Case (ii): If Mr. Y is not a member then we left with (6+4-1) people.
we can select 3 from 9 in $9 C_{3}$ =84 ways.

Thus, total number of ways is 7+84= 91 ways.

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Filed Under: Permutations and Combinations

10 11316

Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42	B) 36
C) 48	D) 24

Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 11313

Q:

Find the cost of 96 shares of Rs. 10 each at $\frac{3}{4}$ discount, brokerage being 1/4 per share.

A) 912	B) 921
C) 920	D) 900

Answer & Explanation Answer: A) 912

Explanation:

Cost of 1 share = $R s . [(10 - \frac{3}{4}) + \frac{1}{4}] = R s \frac{19}{2}$

Cost of 96 shares = $R s . (\frac{19}{2} * 96)$ = Rs. 912.

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Filed Under: Stocks and Shares

7 11297

Q:

A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ?

A) Rs. 450	B) Rs. 1020
C) Rs. 765	D) Rs. 1530

Answer & Explanation Answer: D) Rs. 1530

Explanation:

Ratio of investments of A, B & C =>

bank

Share of C = 1530

Share of B = 765

Share of A = 1020

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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22 11290

Q:

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: B) 4

Explanation:

$P {(1 + \frac{20}{100})}^{n} > 2 P \Leftrightarrow {(\frac{6}{5})}^{n} > 2$

$(\frac{6}{5} \times \frac{6}{5} \times \frac{6}{5} \times \frac{6}{5}) > 2$

so, answer is 4 years

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

16 11281

Q:

The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp

Answer

Actual average salary of 12 officers = 400

$\inline \fn_jvn \therefore$ Total salary of 12 officers = 400 x 12 = 4800

Average of these 12 officers as a whole =60

Total salary of 12 officers as a whole = 60 x 12 = 720

The total salary of rest = 4800 - 720 = 4080

Difference in average of the rest of officers = 60 - 56 = 4

Rest of the officers = $\inline \fn_jvn \frac{4080}{4}=1020$

Total number of employees = 1020 + 12 = 1032

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Subject: Average

51 11267

Q:

A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) 25%	B) 21.14%
C) 22.54%	D) 27.32%

Answer & Explanation Answer: C) 22.54%

Explanation:

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276

Profit % = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{276}{1224} \times 100$ = 22.54%.

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

8 11255

Quantitative Aptitude - Arithmetic Ability Questions

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