Quantitative Aptitude Quiz – 75 (Mixed)

Hello Readers,
Welcome To D2G’s. This post contains some quantitative aptitude questions with proper explanations for your practice. Keep practicing, keep raising.

1. A shopkeeper sells his goods at the cost price but uses 900 gm instead of 1 kg. Find his % profit.
a) 10%
b) 11.11%
c) 12.5%
d) 22.22%
e) None of these

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Answer b) 11.11%
Explanation:
Suppose he uses m grams instead of 100 grams.
Actual mass = 1000 gm and m = 900 gm
Then, % profit = (1000 – m)/m * 100
=>% profit = (1000 – 900)/900 * 100 = 11.11%.

2. From salary of an inspector, 10% is deducted as house rent. He spends 10% of the rest on children’s education and 15% on conveyance. Now, he is left with Rs.13500. His salary is?
a) Rs.19500
b) Rs.19000
c) Rs.20500
d) Rs.20000
e) None of these

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Answer d) 20000
Explanation:
Let his salary be Rs.100.
House rent = Rs.10
Balance = Rs.(100 – 10) = Rs.90
Education + conveyance = 25% of Rs.90 = Rs.22.5%
Balance = Rs.(90 – 22.5) = Rs.67.5
If Rs.67.5 is balance amount, then salary is Rs.100
If Rs.13500 is balance amount, then salary = 100/67.5 * 13500 = Rs.20000.

3. Eight students appear in an examination. In how many ways can the results be announced. Each students can either pass or fail in the exam?
a) 32
b) 64
c) 128
d) 256
e) None of these

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Answer d) 256
Explanation:
There are two possibility for each student either fail or pass.
Then, number of ways for the result = (2)^8 = 256.

4. An amount of money grows upto Rs.4000 in 2 yr and upto Rs.8000 in 3 yr on compound interest. What is the sum?
a) Rs.1600
b) Rs.1000
c) Rs.1200
d) Rs.2400
e) None of these

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Answer b) 1000
Explanation:
Required sum = 4000(4000/8000)^2 = 4000 * 1/4 = Rs.1000.

5. A man can swim at 10 km/h in still water. If the river flows at 3 km/h and it takes 12h more in upstream than to go downstream for the same distance, then how far is the place?
a) 182 km
b) 164 km
c) 170 km
d) 175 km
e) None of these

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Answer a) 182
Explanation:
Let distance be = X
Now, X/(10 – 3) – X/(10 + 3) = 12
=>X/7 – X/13 = 12
By solving, X = 182 km.

6. Two trains of length 120 m and 90 m respectively, with the same speed pass a static pole in 8s and 6 s, respectively. In what time they will cross each other if they are moving in opposite directions?
a) 14 s
b) 6 s
c) 20 s
d) 7 s
e) None of these

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Answer d) 7 s
Explanation:
Speed of trains = 120/8 = 15 m/s
and 90/6 = 15 m/s
Relative speed = 15 + 15 = 30 m/s
Time = (120 + 90)/30 = 210/30 = 7 s.

7. In a test, minimum passing percentage for girls and boys is 35% and 40%, respectively. A boy scored 483 marks and failed by 117 marks. What are the minimum passing marks for girls?
a) 425
b) 520
c) 525
d) 625
e) None of these

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Answer c) 525
Explanation:
Passing percentage = 40% (boys)
According to the question,
X * 40/100 = 483 + 117 (If total marks = X)
=>X * 40/100 = 600
=>X = (600 * 100)/40 = 1500
Passing marks for girls = 1500 * 35/100 = 525.

8. 8 men can complete a piece of works in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work?
a) 16
b) 12
c) 14
d) 10
e) None of these

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Answer a) 16
Explanation:
8 * 20 men = 8 * 32 women
5 men = 8 women
Now, 5 men + 8 women = 8 + 8 = 16 women
Since, D1*M1 = D2*M2
Then, 8*32 women = 16*D2
=>D2 = 16 days.

9. On a school’s Annual Day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus, the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get?
a) 24
b) 18
c) 15
d) Can’t be determined
e) None of these

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Answer c) 15
Explanation:
Let each child originally supposed to get X sweets.
Hence, 112 * X = (112 – 32) * (X + 6)
=>112X = 80X + 480
=>32X = 480 =>X = 480/32 = 15.

10. In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 g mixture, 15 g water was added, what would be the percentage of water? (Weight in gram)
a) 75%
b) 80%
c) 90%
d) 100%
e) None of these

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Answer b) 80%
Explanation:
Amount of water in 60 g = 60 * 75/100 = 45 g
After adding 15 g of water in mixture = 45 + 15 = 60 g
Percentage of water in mixture = 60/(60 + 15) *100 = 80%.

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D2G’s Team..