6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

A) 427	B) 531
C) 651	D) 714

Answer & Explanation Answer: B) 531

Explanation:

Given in the question that, there are 7 boys and 6 girls.

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team =

$(6 C_{3} x 7 C_{2}) + (6 C_{4} x 7 C_{1}) + (6 C_{5}) = [\frac{6 x 5 x 4}{3 x 2 x 1} x \frac{7 x 6}{2 x 1}] + [\frac{6 x 5 x 4 x 3}{4 x 3 x 2 x 1} x 7] + [\frac{6 x 5 x 4 x 3 x 2}{5 x 4 x 3 x 2 x 1}] = 420 + 105 + 6 = 531 .$

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5 4203

Q:

Dianna deposits $725 into a savings account that pays 2.3% simple annual interest. How much interest will Dianna earn after 18 months?

A) 23.01	B) 24.01
C) 25.01	D) 26.01

Answer & Explanation Answer: C) 25.01

Explanation:

I = Prt

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0 4200

Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000	B) 7000
C) 5000	D) 8000

Answer & Explanation Answer: A) 6000

Explanation:

Ans.
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
= 6000 rs.

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3 4200

Q:

A steamer moves with a speed of 4.5 km/h in still water to a certain upstream point and comes back to the starting point in a river which flows at 1.5 km/h. The average speed of steamer for the total journey is

A) 12 km/h	B) 10 km/h
C) 6 km/h	D) 4 km/h

Answer & Explanation Answer: D) 4 km/h

Explanation:

Speed of streamer = 4.5 km/hrSpeed of water = 1.5 km/hr

Downstream speed = 4.5+1.5 = 6 km/hr

Upstream speed = 4.5 -1.5 = 3 km/hr

Average Speed = (6 X 3) / 4.5 = 4km/hr

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Q:

A man purchased a bullock and a cart for Rs 1800. He sold the bullock at a profit of 20% and the cart at a profit of 30%.His total profit was 155/6 %. Find the cost price of bullock.

A) Rs 650	B) Rs 750
C) Rs 900	D) Rs 800

Answer & Explanation Answer: B) Rs 750

Explanation:

CP of bullock and cart = 1800

Let price of bullock be x and cart be (1800 –x)

SP of bullock and cart = 1800 + 155/6 X 1800 = 2265

Also, 1.2x + 1.3 (1800 –x) = 2265

⇒1.2x –1.3x = -75

⇒x = 750

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2 4195

Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175	B) 155:124:95
C) 135:147:152	D) 175:144:115

Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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3 4194

Q:

Karthik incurred a loss of 40 percent on selling an article for Rs. 5,640. At what price should he have sold the item to have profit of 25%?

A) Rs. 11750	B) Rs. 12550
C) Rs. 13650	D) Rs. 11550

Answer & Explanation Answer: A) Rs. 11750

Explanation:

From the given data,

The cost price of the article = 5640 x 100/60 = Rs. 9400

The selling price of the article to gain 25% profit = 9400 x 125/100 = Rs. 11750.

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Q:

What is the difference in the shares of profit between P and Q in a joint business at the end of one year ?

a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months.

b. Q joined four months after the start of business.

c. Q's amount was 80% of P's amount during the last six months.

A) Only a	B) Only c
C) Both a & b	D) Data is not sufficient

Answer & Explanation Answer: D) Data is not sufficient

Explanation:

a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

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Quantitative Aptitude - Arithmetic Ability Questions

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