At what time between 11 and 12 o’clock will the hands of a clock be in opposite directions?
Correct answer C. 27 3/11 minutes past 11
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Maths MCQs & Aptitude MCQs
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What is the smaller angle between the hands of a clock at 10:15?
Correct answer D. 142.5°
In what ratio must a shopkeeper mix rice costing Rs. 48 per kg with rice costing Rs. 63 per kg to obtain a mixture worth Rs. 54 per kg?
Correct answer C. 3:2
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Tea costing Rs. 210 per kg is mixed with tea costing Rs. 270 per kg in the ratio 2 : 1. What is the cost price of the mixture per kg?
Correct answer B. Rs. 230
A milkman sells a mixture of milk and water at the cost price of pure milk and gains 20%. In what ratio has he mixed water with milk?
Correct answer C. 1:5
A trader dilutes juice with water and sells the diluted juice at the cost price of pure juice, making a profit of 33 1/3%. What percentage of the mixture is water?
Correct answer C. 25%
A container holds 80 litres of pure milk. 8 litres are taken out and replaced with water, and this is done once more. How much milk is left in the container?
Correct answer D. 64.8 litres
A cask contains 125 litres of pure syrup. 25 litres are drawn off and replaced with water. This operation is performed three times in all. How much syrup remains in the cask?
Correct answer D. 64 litres
A tank holds 64 litres of pure oil. Each time, 16 litres are removed and replaced with kerosene. After how many such operations will the tank contain 27 litres of oil?
Correct answer C. 3
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From a vessel full of pure milk, 6 litres are drawn and replaced with water. This is repeated once more, after which milk and water are in the ratio 16 : 9. What is the capacity of the vessel?
Correct answer D. 30 litres
A 60 litre mixture contains milk and water in the ratio 7 : 3. How much water must be added to make the ratio 7 : 5?
Correct answer A. 12 litres
A 45 litre mixture contains milk and water in the ratio 4 : 1. How much milk must be added so that the ratio becomes 6 : 1?
Correct answer C. 18 litres
Two jugs contain milk and water in the ratios 3 : 1 and 5 : 3 respectively. Equal quantities from both jugs are poured into a third jug. What is the ratio of milk to water in the third jug?
Correct answer C. 11:5
Alloy P contains copper and zinc in the ratio 5 : 3 and alloy Q contains them in the ratio 3 : 1. In what ratio must P and Q be melted together to get a new alloy with copper and zinc in the ratio 7 : 3?
Correct answer C. 2:3
The average weight of 40 students in a class is 52 kg. The average weight of the boys is 56 kg and that of the girls is 46 kg. How many girls are in the class?
Correct answer D. 16
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How many kg of sugar costing Rs. 45 per kg must be mixed with 20 kg of sugar costing Rs. 36 per kg so that the mixture costs Rs. 42 per kg?
Correct answer B. 40 kg
In what ratio must a grocer mix tea costing Rs. 50 per kg and Rs. 65 per kg so that by selling the mixture at Rs. 66 per kg he gains 10%?
Correct answer B. 1:2
A trader mixes two varieties of pulses costing Rs. 72 per kg and Rs. 92 per kg and sells the mixture at Rs. 76 per kg, incurring a loss of 5%. In what ratio did he mix them?
Correct answer B. 3:2
Rs. 12,000 is lent partly at 8% and partly at 13% simple interest per annum. If the total interest after one year is Rs. 1,110, how much was lent at 13%?
Correct answer A. Rs. 3000
A motorist covers 260 km in 5 hours, driving partly at 40 km/h and partly at 70 km/h. What distance did he cover at 70 km/h?
Correct answer A. 140 km