6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250	B) 19,200
C) 18,650,	D) 15,200

Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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Filed Under: Partnership
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8 7148

Q:

19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) Rs. 1398.96	B) Rs. 1457.09
C) Rs. 1662.35	D) Rs. 1536.07

Answer & Explanation Answer: D) Rs. 1536.07

Explanation:

Let average expenditure was Rs. R

13 x 79 + 6x(R + 4) = 19R

=> R = Rs. 80.84

Total money = 19 x 80.84 = Rs. 1536.07.

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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29 7139

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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Filed Under: Permutations and Combinations
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1 7136

Q:

A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained?

A) 1/5	B) 1/6
C) 1/7	D) 1/8

Answer & Explanation Answer: B) 1/6

Explanation:

Total work is given by L.C.M of 72, 48, 36

Total work = 144 units

Efficieny of A = 144/72 = 2 units/day

Efficieny of B = 144/48 = 3 units/day

Efficieny of C = 144/36 = 4 units/day

According to the given data,

2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100

3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54

p = 198/16.5

p = 12 days.

Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day

(C+D) in p days = (4 + 6) x 12 = 120 unit

Remained part of work = (144-120)/144 = 1/6.

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Filed Under: Time and Work
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7 7136

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good	B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given	D) 11% stock at 143

Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. $\frac{11}{143}$ x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs. $\frac{39}{4 \times 117}$ x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
Exam Prep: CAT , Bank Exams , AIEEE
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11 7128

Q:

Find the number which is a prime number.

A) 39	B) 87
C) 79	D) 93

Answer & Explanation Answer: C) 79

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 7100

Q:

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is $2^{4} x 3^{5} x 5^{2} x 7^{2 . What is the third number?}$

A) 47628	B) 49874
C) 24157	D) 42146

Answer & Explanation Answer: A) 47628

Explanation:

hcf_of_three_numbers_3240,_3600_and_third_number_is_361542439249.jpg image

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Filed Under: HCF and LCM
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17 7090

Q:

54.327 x 357.2 x 0.0057 is same as

A) 5.4327 x 3.572 x5.7	B) 5.4327 x 3.572 x0.57
C) 54327 x 3572 x 0.0000057	D) None of these

Answer & Explanation Answer: A) 5.4327 x 3.572 x5.7

Explanation:

Number of decimal places in the given expression = 8

Number of decimal places in (A) = 8

Number of decimal places in (B) = 9

Number of decimal places in (C)= 7

Clearly , the expresssion in (A) is the same as the given Expression.

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Filed Under: Decimal Fractions

18 7083

Quantitative Aptitude - Arithmetic Ability Questions

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