6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The minimum number of half years in which a sum of money kept at 60% compound interest will be quadrupled is ?

A) 2	B) 4
C) 3	D) 6

Answer & Explanation Answer: D) 6

Explanation:

Let us assume Amount be 100 Rs and we calculate in CI

First year 60% of 100 = 60 amount (100+60) is 160

Second year 60% of 160 = 96 amount (160+96) is 256

Third year 60% of 256 =153.6 amount (256+153.6) is 409.6

Here the Amount of 100 Rs is quadrapled in 3 years.

One year contains 2 half years

Three year has 6 half years.

Therefore, It takes 6 half years.

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

14 10500

Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ?

A) 51.32 %	B) 49.23 %
C) 48.4 %	D) 46.8 %

Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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

17 10500

Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: C) 130

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in $\frac{11}{3}$ hrs = ${(\frac{360}{12} \times \frac{11}{3})}^{0}$ = $110^{0}$

Angle traced by minute hand in 60 min. = $360^{0}$

Angle traced by it in 40 min = ${(\frac{360}{60} \times 40)}^{0}$ = $240^{0}$

$\therefore$ Required angle (240 - 110)º = $130^{0}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

16 10491

Q:

Ramesh started a software business by investing Rs. 50,000. After six months, Rajesh joined him with a capital of Rs. 75,000. After 3 years, they earned a profit of Rs. 27,000. What was Rajesh's share in the profit?

A) 10,000	B) 15,000
C) 20,000	D) 25,000

Answer & Explanation Answer: B) 15,000

Explanation:

Ramesh : Rajesh =(50,000*36) : (75,000*30) =4 : 5.

Therefore, Rajesh's share=Rs.(27,000*5/9)= Rs.15,000.

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Filed Under: Percentage

6 10488

Q:

The average expenditure of the hotel when there are 10 guests is Rs. 60 per guests and the average expenditure is Rs.40 when there are 20 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest whe there are 40 guests in the hotel.

A) Rs. 30	B) Rs. 25
C) Rs. 20	D) can't be determined

Answer & Explanation Answer: A) Rs. 30

Explanation:

Let the fixed expenditure of the hotel be Rs.x and the variable expenditure ( which is dependent on the guest ) is Rs.y , then

x + 10y = 600 ---------(1)

x + 20y = 800 ----------(2)

From (1) & (2)

10y = 200

=> y = Rs. 20 and x= 400

Hence the total expenditure when there are 40 guests = 400 + 40 x 20 = 1200

Therefore, average expenditure = 1200/40 = Rs. 30

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Filed Under: Average

12 10487

Q:

Find: S.l on Rs 68000 at $16 \frac{2}{3}$ 1 % per annum for 9 months

A) 6500	B) 7500
C) 8500	D) 9500

Answer & Explanation Answer: C) 8500

Explanation:

P = 68000, R = $\frac{50}{3}$ % & T = 9 months (3/4 years)

$S . I = \frac{p \times r \times t}{100} = [\frac{(6800 \times \frac{50}{3} \times \frac{3}{4})}{100}] = R s . 8500$

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

3 10477

Q:

The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

A) 0.01	B) 0.02
C) 0.03	D) 0.04

Answer & Explanation Answer: D) 0.04

Explanation:

Given = (11.98)^2 + (0.02)^2 + 11.98 * x.

For the given expression to be a perfecr square, we must have

11.98 * x = 2 * 11.98 * 0.02 => x = 0.04

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Filed Under: Decimal Fractions

13 10474

Q:

The calendar of year 1939 is same as which year?

A) 1943	B) 1964
C) 1950	D) 1956

Answer & Explanation Answer: C) 1950

Explanation:

Given year 1939, when divided by 4 leaves a remainder of 3.

NOTE: When remainder is 3, 11 is added to the given year to get the result.

So, 1939 + 11 = 1950

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Filed Under: Calendar

21 10473

Quantitative Aptitude - Arithmetic Ability Questions

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