SSC Cgl Quant Quiz-55


Q.1) If 5 kg of salt costing ₹ 5/kg and 3 kg of salt costing ₹ 4/kg are mixed, find the average cost of the
mixture per kilogram.
(a) ₹ 4.5
(b) ₹ 4.625
(c) ₹ 4.75
(d) ₹ 4.125

Q.2) Two types of oils having the rates of ₹ 4/kg and ₹ 5/kg respectively are mixed in order to produce a mixture having the rate of ₹ 4.60/kg. What should be the amount of the second type of oil if the amount of the first type of oil in the mixture is 40 kg?
(a) 75 kg
(b) 50 kg
(c) 60 kg
(d) 40 kg

Q.3) How many kilograms of sugar worth ₹3.60 per kg should be mixed with 8 kg of sugar worth ₹ 4.20 per kg, such that by selling the mixture at ₹ 4.40 per kg, there may be a gain of 10%?
(a) 6 kg
(b) 3 kg
(c) 2 kg
(d) 4 kg

Q.4) A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?
(a) 10 gals
(b) 8.5 gals
(c) 8 gals
(d) 8.33 gals

Q.5) Ravi lends ₹3600 on simple interest to Harsh for a period of 5 years. He lends a part of the amount at 4% interest and the rest at 6% and receives ₹ 960 as the amount of interest. How much money did he lend on 4% interest rate?
(a)₹ 2800
(b) ₹ 2100
(c)₹ 2400
(d) ₹ 1200

Q.6) 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
(a) 100
(b) 120
(c) 150
(d) 300

Q.7) A man purchased a cow and a calf for ₹1300. He sold the calf at a profit of 20% and the cow at a profit of 25%. In this way, his total profit was 23(1/13) %. Find the cost price of the cow.
(a) ₹ 1100
(b) ₹ 600
(c) ₹ 500
(d) ₹ 800

Q.8) The average salary per head of all employees of a company is ₹600. The average salary of 120 officers is ₹ 4000. If the average salary per head of the rest of the employees is ₹ 560, find the total number of workers in the company.
(a) 10200
(b) 10320
(c) 10500
(d) 10680

Q.9) A dishonest milkman purchased milk at ₹ 10 per litre and mixed 5 litres of water in it. By selling the mixture at the rate of ₹ 10 per litre he earns a profit of 25%. The quantity of the amount of the mixture that he had was:
(a) 15 litres
(b) 20 litres
(c) 25 litres
(d) 30 litres

Q.10) A cistern contains 50 litres of water. 5 litres of water is taken out of it and replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture.
(a) 1 : 4
(b) 41 : 50
(c) 19 : 81
(d) 81 : 19


Q.11) A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find out how much spirit is left in the resulting mixture finally?
A. 6(257/525)gallons
B. 6(346/625)gallons
C. 6.5 gallons
D. 6.25 gallons

Q.12) A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?
A. 33 l
B. 2560/81 l
C. 2460/81 l
D. 30 l

Q.13) In what ratio should two qualities of coffee powder having the rates of ₹ 47 per kg and ₹ 32 per kg be mixed in order to get a mixture that would have a rate of ₹ 37 per kg?
(a) 1 : 2
(b) 2 : 1
(c) 1 : 3
(d) 3 : 1

Q.14)  In what ratio should water be mixed with soda costing ₹ 12 per litre so as to make a profit of 25% by selling the diluted liquid at ₹ 13.75 per litre?
(a) 10 : 1
(b) 11 : 1
(c) 1 : 11
(d) 12 : 1

Q.15) A sum of ₹36.90 is made up of 90 coins that are either 20 paise coins or 50 paise coins. Find out how many 20 paise coins are there in the total amount.
(a) 47
(b) 43
(c) 27
(d) 63

Q.16) A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available.
(a) 20%
(b) 25%
(c) 33.33%
(d) 40%

Q.17) A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture?
(a) 1 litre
(b) 1.5 litre
(c) 2 litres
(d) 2.5 litres

Q.18)A mixture of 20 litres of brandy and water contains 10% water. How much water should be added
to it to increase the percentage of water to 25%?
(a) 2 litres
(b) 3 litres
(c) 2.5 litres
(d) 4 litres

Q.19) A merchant purchased two qualities of pulses at the rate of ₹ 200 per quintal and ₹ 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at ₹ 300 per quintal, he gains a profit of 25%?
(a) 100 quintals
(b) 104 quintals
(c) 26 quintals
(d) None of these

Q.20) A man buys milk at ₹8.5 per litre and dilutes it with water. He sells the mixture at the same rate and thus gains 11.11%. Find the quantity of water mixed by him in every litre of milk.
(a) 0.111 litres
(b) 0.909 litres
(c) 0.1 litre
(d) 0.125 litres