Ratio and Proportion Quiz [Advanced Level] for SSC CGL 2019-20 Exam : 16th November

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Q1. At a casino in Gurgaon, there are four table P, Q, R and S. the pay off at P is 15 : 1, at Q is 12 :1, at R is 18 : 1 and at S is 10 :1, If a man bets Rs 150 at each table and win at two of the table, what is the difference between maximum and minimum his earning ?
(a) 4650
(b) 3000
(c) 1550
(d) 1650

Q2. The Ratio of the density of 3 kinds of petrol A1, A2 and A3 is 13 : 17 : 19. The density of A1 is 39 gm/cc and A1, A2 and A3 are mixed in the ratio of 3 : 5 : 7 by weight. If a litre of A3 cost Rs. 38 then find the cost of A3 in 1050 kg of mixture of A1, A2 and A3
(a) 254.27
(b) 326.67
(c) 357.26
(d) 345.84

Q3. Find the value of x If (18x + 7) : (7x – 23) = (29x – 4) : (3x – 19)
(a) 5/2
(b) 3/4
(c) 17/19
(d) None of these

Q4. Two liquid are mixed in the ratio 5 :4 and the mixture is sold at Rs 35 with a loss of 22.22%. If the first liquid is costlier then the second by Rs 9. Find the sum of costs of both the Liquids:
(a) 93
(b) 87
(c) 74
(d) 97

Q5. The number of Apples in three Baskets are in the ratio of 5 : 7 : 11. In which Ratio the no. of Apples in first two baskets must be increased so that the new ratio becomes 6 : 9 : 7
(a) 16 : 25
(b) 19 : 45
(c) 39 : 25
(d) 31 : 50
Q6. Instead of dividing of Rs. 177.5 among P, Q, R in the ratio it was divided in the ratio 5 : 7 : 3 by mistake. Who gained most in this transaction?
(a) Only P
(b) Only Q
(c) Only R
(d) Both Q and R

Q7. An employer reduces the number of his employees in the ratio 11 : 9 and increases their wages in the ratio 19 : 23. If the original wage bill was Rs. 731.5, find the ratio in which the wage bill is decreased.
(a) 209 : 207
(b) 210 : 209
(c) 201 : 109
(d) 109 : 201

Q8. P and Q started a business in the ratio of 4 : 9. After 2 year Q left the business but P continues. After 3 years the total profit is Rs. 39000. What is the profit of Q?
(a) Rs. 20400
(b) Rs. 23000
(c) Rs. 25600
(d) Rs. 23400

Q9.A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?
(a) 20000
(b) 6000
(c)10000
(d)9000

Q10. The sum of two numbers is 20 and their geometric mean is 20% lower than their arithmetic mean. Find the ratio of the numbers.
(a) 4 : 1
(b) 9 : 1
(c) 1 : 1
(d) 17 : 3

Solutions:-

S1. Ans.(d)
Sol. Maximum earning will be only when he will win on the maximum yielding table

P – 15 : 1
Q – 12 : 1
R – 18 : 1
S – 10 : 1
i.e. he won on P and R but lose on Q and S
15 × 150 + 18 × 150 – 2 × 150
= 4650
Minimum earning will be when he won on table Q and S and Lose on P and R

∴ (12 + 10) 150 – 2 × 150
= 3000
Therefore, difference = 4650 –3000
= 1650

    

S10. Ans.(a)
Sol. If we assume the numbers as 16 and 4 based on 4 : 1 (in option a), the AM would be 10 and the GM = 8 a difference of 20% as stipulated in the question. Option (a) is correct.

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