Quantitative Aptitude Trivia Quiz!
20 Questions
| Attempts: 77
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Questions and Answers
- 1.
Present ages of Ram and Shyam are in the ratio of 4 : 5 respectively. Five years hence the ratio of their ages becomes 5 : 6 respectively. What is Ram’s present age?
- A.
25
- B.
22
- C.
20
- D.
30
Correct Answer
C. 20Explanation
Ram - R and Shyam - S.
(R+5) / (S+5) = 5/6
Present age ratio is 4:5, so R = 4x and S = 5x
Solving we get, R=20Rate this question:
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- 2.
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
- A.
36
- B.
42
- C.
54
- D.
63
Correct Answer
D. 63Explanation
Apply the rule of Alligation.
9 per kg should be mixed with 7 per kg to get the mixture costing 8.4 per kg (Not 9.24 as it is SP)
Note : SP = 9.24, profit = 10%. So CP = 8.4
So the ratio will be 7:3.
3 parts corresponds to 72 kg. So 7 parts will be 63 Kg.Rate this question:
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- 3.
What is the total number of divisors of 600 (including 1 and 600)?
- A.
23
- B.
24
- C.
25
- D.
26
Correct Answer
B. 24Explanation
Prime factorizing 600 we get 2^3 * 3^1 * 5^2
So no of factors will be 4*2*3 = 24
1 and 600 are also factors and they are included in the calculation.Rate this question:
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- 4.
Two cyclist begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 minutes; the novice takes 6 minutes to complete each lap. How many minutes after the start will both cyclist pass at exactly the same spot where they began to cycle?
- A.
8
- B.
10
- C.
12
- D.
14
Correct Answer
C. 12Explanation
This question is an application of LCM.
LCM of 4, 6 = 12Rate this question:
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- 5.
In how many ways can 3 distinct letters can be posted in 5 distinct postboxes?
- A.
27
- B.
15
- C.
125
- D.
60
Correct Answer
C. 125Explanation
Consider letter point of view. 1st letter can be posted in any of the five postboxes. Similarly letter 2 and letter 3. Each 5 ways. So the total number of ways will be 5 * 5 * 5 = 125
For these kind of problems, remember this . (Immovable)^ Movable
Postboxes - Immovable and Letters - movableRate this question:
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- 6.
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
- A.
25
- B.
20
- C.
16.66
- D.
12.5
Correct Answer
B. 20Explanation
This can be solved using alligation concept. For this question, rule of alligation is lengthy.
Alternate approach:
Think logically. Gain % = 25, i.e 1/4 gain.
Here gain is because of addition of water. So considering 4 parts to be milk, 1 part extra water is added.
So total we have 5 parts. Water 1 part and milk 4 parts.
Thus, percentage of water in the mixture is 1/5 = 20%Rate this question:
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- 7.
Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they paint the house in 8 days only. Then, Painter C alone can do this task in ___ days.
- A.
80
- B.
85
- C.
79
- D.
76
Correct Answer
A. 80Explanation
Avoid fractions in time and work. Apply LCM method.
Basic rule to remember is Efficiency * Time taken = Total work
Assume total work = LCM (16, 20, 8) = 80.
Efficiency of A is 80/16 = 5 work/day.
Efficiency of B is 80/20 = 4 work/day.
Efficiency of (A+B+C) = 80/8 = 10 work/day.
So efficiency of C will be 10 - (4+5) = 1 work/day.
Hence time taken by C will be 80/1 = 80 daysRate this question:
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- 8.
If the price of an item is decreased by 10% and then increased by 10%, the net effect on the price of the item is:
- A.
1% decrease
- B.
10% increase
- C.
1% increase
- D.
10% decrease
- E.
No change
Correct Answer
A. 1% decreaseExplanation
Concept of successive percentage change
X = (a+b) + (a*b)/100
a, b are the changes. x is the resultant.
a = +10
b = -10
Solving we get, x value -1
So Net effect is 1% decrease.
We can also assume initial value to be 100. Now decreasing 10% we get 90. Now again increasing 10% on 90 we get 99.
So Net effect is drop from 100 to 99. i.e 1 % decreaseRate this question:
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- 9.
A paddleboat can row at 13 km/hr in still water. Find the time taken (in hours) by the paddleboat to travel 68 km along the stream, if the speed of the stream is 4 km/hr.
- A.
2
- B.
3
- C.
4
- D.
5
Correct Answer
C. 4Explanation
Speed of boat -x
Speed of water - y
Upstream speed = x-y
Downstream speed = x+y
We know Distance = Speed * Time
So time = 68 / (13+4) = 4 hoursRate this question:
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- 10.
By selling an item at a certain price, a merchant gains 20%. If he sells it at the double price, then the profit percentage will be?
- A.
40
- B.
100
- C.
120
- D.
140
Correct Answer
D. 140Explanation
Assuming CP as x and then you can procced solving. But its time consuming.
Just assume CP = 100. Profit 20%, So, SP = 120
Now its sold at double the price. So new SP will be 120*2 = 240.
Now profit percentage will be 140%.Rate this question:
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- 11.
The surface area of a cuboid is 88 sq.cm, and its edges are in the ratio 1 : 2 : 3. What is the volume the cuboid (in cubic metre) ?
- A.
24
- B.
64
- C.
48
- D.
44
Correct Answer
C. 48Explanation
Surface Area = 2*(lb + bh + hl)
l-length, b-breadth, h-height
1:2:3 will be the 3 dimensions. So 1x, 2x, 3x
Thus 88 = 2* (1x*2x + 2x*3x + 3x*1x) = 2 * 11 x^2
x= 2
So volume equals l * b * h, i.e 2*4*6 = 48 cubic metreRate this question:
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- 12.
The average monthly salary of 20 employees in a factory is Rs. 1500. If the salary of manager is added, then the average salary increases by Rs. 100. Find the monthly salary of manager?
- A.
3100
- B.
2600
- C.
3600
- D.
2880
Correct Answer
C. 3600Explanation
Average = Total salary of employees / No. of employees.
Salary of the manager = Rs. (1600x21 - 1500x20) = Rs. 3600Rate this question:
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- 13.
A box contains 10 red and 10 yellow balls. The probability of drawing two balls of the same color is:
- A.
10/19
- B.
5/19
- C.
9/19
- D.
9/38
Correct Answer
C. 9/19Explanation
Total number of balls = 20.
Let S be the sample space. Then,
n(S) = Number of ways of drawing 2 balls out of 20 = 20C2
Let E = event of drawing 2 balls of the same color.
n(E) = 10c2 + 10c2 (Both red or both yellow)
So P(E) = n(E) / s(E)
Solving we get 9/19Rate this question:
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- 14.
___, 11, 24, 75, 304
- A.
8
- B.
5
- C.
10
- D.
9
Correct Answer
C. 10Explanation
The pattern is Multiply by 1 and add 1, multiply by 2 and add 2, etc..
10*1+1 = 11
11*2+2 = 24,
..........
........Rate this question:
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- 15.
How many words can be formed by using all the letters of the word 'DAUGHTER' so that the vowels always come together?
- A.
4320
- B.
4325
- C.
4200
- D.
4326
Correct Answer
A. 4320Explanation
Given word contains 8 different letters.
When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.
Then, the letters to be arranged are DGHTR(AUE). These 6 letters can be arranged in 6P6 = 6! = 720 ways.
The vowels in the group (AUE) may be arranged in 3! = 6 ways.
Required number of words = (720 x 6) = 4320.Rate this question:
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- 16.
115% of 4880 - 85% of 1640 = ?
- A.
4018
- B.
3978
- C.
4218
- D.
4320
Correct Answer
C. 4218Explanation
115% = 100% + 10% + 5%
100% of 4880 = 4880
10% of 4880 = 488
5% of 4880 = 244.
85% = 100% - 10% - 5%
100% of 1640 = 1640
10% of 1640 = 164
5% of 1640 = 82
Solving we get,Rate this question:
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- 17.
Compare x and y6 x² – 19 x + 15 = 010 y² – 29 y + 21 = 0
- A.
X>y
- B.
X
- C.
X ≥ y
- D.
X ≤ y
- E.
X = y or no relation can be established between ‘x’ and ‘y’
Correct Answer
C. X ≥ yExplanation
Solving we get, x = 10/6, 9/6 and y = 14/10, 15/10
10/6 > 14/10
10/6 > 15/10
9/6 > 14/10
9/6 = 15/10Rate this question:
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- 18.
Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). The ratio of the average income of all the years to the average profit is:
- A.
24:13
- B.
48:17
- C.
12:7
- D.
6:5
Correct Answer
B. 48:17Explanation
Profit = Income = Expenditure
Total income = (30 + 50 + 40 + 60 + 60) = 240
Total profit = (10 + 20 + 10 + 20 + 25) = 85
So Ratio = (240/5) / (85/5) = 48/17Rate this question:
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- 19.
Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). What is the percentage increase of profit from 1982 to 1983?
- A.
20%
- B.
100%
- C.
50%
- D.
200%
Correct Answer
B. 100%Explanation
Profit in 1982 = 10
Profit in 1983 = 20
Percentage increase = (20-10)/10 * 100 = 100%Rate this question:
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- 20.
When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?
- A.
1/12
- B.
11/12
- C.
3/11
- D.
11/36
Correct Answer
B. 11/12Explanation
This is a pattern. Try to remember this.P (Sum less than or equal to 11) = Total probability - (Sum greater than or equal to 11) = 1 - (2+1)/36 = 1-1/12 = 11/12Rate this question:
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Current Version
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Mar 21, 2022Quiz Edited by
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Aug 07, 2017Quiz Created by
Ashwin
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