Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 10

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Weekly Quiz Competition

Question 1
4 / -1

5 men can complete a job in 15 days. If a child works at 1/5th the rate of a man, in how many days 25 children complete the job?

A
25

B
30

C
10

D
15

Solution

Work done by men = 5 x 15= 75 man days

Work to be done by children= 75 man days =75 x 5 child days = 375 child days

(as efficiency of a child is 1/5th that of a man)
Question 2
4 / -1

In a race of length L meters, Ajay beats Sahil by ‘a’ meters and Sahil betas Manish by ‘b’ meters. Ajay beats Manish by__________(in meters).

A

B

C

D

Solution
Question 3
4 / -1

The radius of a circle is 13 cm. Find the length of a chord which is 5cm from the center of the circle.(in cms)

A
20

B
24

C
22

D
28

Solution

Length of OA = 13cm

Let the length of AB be 2x

Using Pythagoras theorem 13²= x²+ 5²

x²= 169 - 25

∴ 2x = 24 cms
Question 4
4 / -1

Find the number of ways of arranging all the letters of the word HOSPITAL, so that all the vowels appear on the even places.

A
2440

B
3220

C
4120

D
2880

Solution

There are 3 different vowels and 4 even places,∴⁴P₃ = 24
Remaining 5 will be arranged in 5! Ways
∴Total number of ways in which there can be the required arrangement is 5! X 24
= 120 x 24 = 2880
Question 5
4 / -1

A bag contains 4 red balls, 3 green balls and 5 white balls. If two balls are drawn from the bag, then the probability that they both are red balls is______.

A
1/11

B
5/33

C
1/22

D
1/9

Solution
Question 6
4 / -1

At how many points do the curves y = 2x + 1 and x²- 2 = y intersect?

A
0

B
1

C
2

D
3

Solution

For finding the point of intersection, the y co-ordinate of both the equations should be equated,

∴ x²- 2 = 2x + 1

∴ x²- 2x - 3 = 0

∴ x = 3, -1

∴ y = 2x + 1 = 7, -1

∴ Point of intersections are (x, y) = (3, 7) (-1, -1)
Question 7
4 / -1

The solution set of the inequation 3x + 13 < 31

A
(-∞,6)

B
(-∞,6]

C
[6,∞)

D
(6,∞)

Solution

3x+13 < 31

3x < 31-13

3x < 18

x< 6

(a,b) means a set of all real numbers between a & b which does not include a or b but everything in between. (a,b] means all real numbers greater than a but not exceeding b which includes b itself
Question 8
4 / -1

(471)₈ X (16)₈ =

A
(10236)₈

B
(10436)₈

C
(1026)₈

D
(10136)₈

Solution

(471)₈ = 4 x⁸² + 7 X 8 + 1

= 4 x 64 + 56 +1

= (313)₁₀

(16)8 = 1 x 8 + 6

=(14)₁₀

313 x 14=(4382)₁₀= (10436)₈
Question 9
4 / -1

What is the area of the circle whose largest chord is 8 units.

A
π

B
8π

C
16π

D
64π

Solution

Largest chord is nothing but diameter

∴ Radius = 4cms

A = πr²= π4²= 16π
Question 10
4 / -1

A ship 77 km away from the shore springs a leak which admits 2 1/4 tonnes of water in 5 1/2 minutes. 92 tonnes of water would sink her. But, the pumps can throw out 12 tonnes per hour. Find the average rate of sailing so that she may just reach the shore as she begins to sink.

A
10.5 kmph

B
11 kmph

C
10 kmph

D
12.5 kmph

Solution