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Live Lecture
Ratio and Proportions
Quizzes
(CSIR-NET DEC 2013) In an enclosure there were both crows and cows. If there are 30 heads and 100 legs, what fraction of them are crows?
0.04375
That’s right!
0.0444444444444444
That’s wrong! Hint: Start with this question: “How many animals are there?” Continue with the fact that cows have 4 legs and crows have 2 legs.
0.0486111111111111
That’s wrong! Hint: Start with this question: “How many animals are there?” Continue with the fact that cows have 4 legs and crows have 2 legs.
0.131944444444444
That’s wrong! Hint: Start with this question: “How many animals are there?” Continue with the fact that cows have 4 legs and crows have 2 legs.
(CSIR-NET SEPT 2022 – LS) In a field there are some cows and ducks. If the number of heads are 33 and number of legs are 84, then ratio of the numbers of cows to ducks?
5/6
That’s wrong!
3/8
That’s right!
2/5
That’s wrong!
3/5
That’s wrong!
(CSIR-NET JUNE 2013) A king ordered that a golden crown be made for him from 8 kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weighed 10 kg. Archimedes knew that under water gold lost 1/20th of its weight, while silver lost 1/10th. When the crown was weighed under water, it was 9.25 kg. How much gold was stolen by the goldsmith?
1
That’s wrong! Hint: Calculate the lost weight under the water!
2
That’s wrong! Hint: Calculate the lost weight under the water!
3
That’s right!
4
That’s wrong! Hint: Calculate the lost weight under the water!
(CSIR-NET DEC 2016) To determine the number of parrots in a sparse population, an ecologist captures 30 parrots and puts rings around their necks and releases them. After a week he captures 40 parrots and finds that 8 of them have rings on their necks. What approximately is the parrot population?
70
That’s wrong!
150
That’s right!
160
That’s wrong!
100
That’s wrong!
(GATE 2022) If p:q = 1:2
q:r = 4:3
r:s = 4:5
and u is 50% more than s, what is the ratio p ∶ u?
q:r = 4:3
r:s = 4:5
and u is 50% more than s, what is the ratio p ∶ u?
2 ∶ 15
That’s wrong!
16 ∶ 15
That’s right!
1: 5
That’s wrong!
16: 45
That’s wrong!
(CSIR-NET DEC 2019 – ASSAM) In order to estimate the number of fish of species B in a pond, 100 fish of a foreign species A were released into the pond. Later, in a catch of 100 fish, the numbers of fish of species A and B were found to be 10 and 90 respectively. Assuming homogenous distribution of the fish, and no changes in the numbers of either species, the estimated number of fish of species B in the pond is
910
That’s wrong!
100
That’s right!
810
That’s wrong!
1000
That’s wrong!
(CSIR-NET DEC 2016) To determine the number of parrots in a sparse population, an ecologist captures 30 parrots and puts rings around their necks and releases them. After a week he captures 40 parrots and finds that 8 of them have rings on their necks. What approximately is the parrot population?
70
That’s wrong!
150
That’s right!
160
That’s wrong!
100
That’s wrong!
(GATE 2014) One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?
3.0
That’s wrong!
2.5
That’s wrong!
1.5
That’s wrong!
1.25
That’s right!
(GATE 2021) The number of students is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21.
The total number of students in all the three classes in the beginning was:
The total number of students in all the three classes in the beginning was:
22
That’s wrong!
66
That’s wrong!
88
That’s right!
110
That’s wrong!
(GATE 2019) The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is ______.
55.50
That’s wrong!
72.50
That’s right!
80.50
That’s wrong!
90.00
That’s wrong!
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