Online Test — Ratio and Proportion
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Three numbers a, b, c are in continued proportion if:
a:b = c:b
a:b = b:c
b:c = c:a
a:c = b:c
Explanation: Definition: a:b = b:c
Question 2 of 10
medium
Find the mean proportional between 9 and 25.
12
15
18
20
Explanation: \(\sqrt{9×25}\)=\(\sqrt{225}\)=15
Question 3 of 10
medium
If y varies directly as x, and y=24 when x=6, find y when x=10.
30
40
50
60
Explanation: k=24/6=4; y=4×10=40
Question 4 of 10
medium
Which of the following represents inverse variation?
y=5x
y=x/5
y=5/x
y=5x+2
Explanation: Inverse: y = k/x
Question 5 of 10
medium
10 men can dig a well in 8 days. How many men needed to dig it in 4 days?
5
10
16
20
Explanation: \(M_{1}D_{1}\)=\(M_{2}D_{2}\)→10×8=\(M_{2} \times 4\)→\(M_{2}\)=20
Question 6 of 10
medium
Find the third proportional to 4 and 6.
8
9
12
18
Explanation: c = \(b^{2}\)/a = 36/4 = 9
Question 7 of 10
medium
If y varies inversely as x, and y=10 when x=4, find y when x=8.
2
4
5
8
Explanation: k=40; y=40/8=5
Question 8 of 10
medium
The graph of direct variation is:
Hyperbola
Parabola
Straight line through origin
Circle
Explanation: y=kx is a straight line through origin
Question 9 of 10
medium
If 2, x, 8 are in continued proportion, x = ?
2
4
6
8
Explanation: \(x^{2}\)=2×8=16→x=4
Question 10 of 10
medium
A car travels 180 km in 3 hours. How far will it travel in 5 hours at same speed?
250 km
280 km
300 km
320 km
Explanation: Speed=60 km/h; distance=60×5=300 km