Quantitative Aptitude Quiz for UPSI: 27 March 2021

1. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?

a) 2.75 days
b) 3.75 days
c) 4.75 days
d) 5.75 days

Explanation:

1/6 + 1/10 = 8/30 = 4/15

15/4 = 3.75 days

2. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?

a) 24 days
b) 14 days
c) 36 days
d) 30 days
 

Explanation:

B = 1/8 – 1/2 = 1/24 => 24 days

3. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?

a) 15 days
b) 25 days
c) 10 days
d) 20 days

Explanation:

C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days

4. A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.

a) 4 ½ days
b) 3 ½ days
c) 1 ½ days
d) 2 ½ days

Explanation:

3/20 * 2 + (2 + x)/5 = 1
x = 1 ½ days

5. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?

a) 11 (1/3) days
b) 12 (1/3) days
c) 13 (1/3) days
d) 14 (1/3) days
Explanation:

5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40

40/3 = 13 (1/3) days

6. A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?

a) 6 days
b) 12 days
c) 9 days
d) 8 days
Explanation:

3/12 + (3 + x)/16 = 1

x = 9 days

7. A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?

a) 24 days
b) 12 days
c) 18 days
d) 30 days

Explanation:

2c = ¼ + 1/6 – 1/3 = 1/12

c = 1/24 => 24 days

8. A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?

a) 10 days
b) 18 days
c) 6 days
c) 12 days
Explanation:

4/10 + 9/x = 1 => x = 15

1/10 + 1/15 = 1/6 => 6 days

9. A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?

a) 36 days
b) 12 days
c) 18 days
d) 24 days

Explanation:

10/40 + 10/30 + 10/x = 1

x = 24 days

10. A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?

a) 20
b) 30
c) 10
d) 40

Explanation:

x ------- 9
(x + 10) ---- 6
x * 9 = (x + 10)6

x = 20