mathematics MCQs – Page 36

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

1751. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
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A. 19

B. 17

C. 29

D. 18

1752. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
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A. 5000

B. 3000

C. 2500

D. 4500
1753. The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?
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A. 16

B. 6

C. 8

D. 12

1754. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
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A. 4440

B. 5550

C. 6060

D. 7070

1755. A boat having a length 3 m and breadth 2 m is floating on a lake The boat sinks by 1 cm when a man gets on it. The mass of man is :__________?
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A. 60 kg

B. 72 kg

C. 96 kg

D. 12 kg

1756. The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain ?
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A. 1.4

B. 1.9

C. 1.5

D. 1.7

1757. The edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm<sup>2
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A. 64 cm<sup>3</sup>

B. 120 cm<sup>3</sup>

C. 48 cm3

D. 24 cm<sup>3</sup>

1758. The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?
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A. 2.8 m

B. 14 m

C. None of these

D. 1.4 m

1759. A cuboidal, block of 6 cm X 9 cm X 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be_________?
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A. 30

B. 6

C. 24

D. 9

1760. The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to :___________?
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A. the cube root of the volume of the box

B. the volume of the box

C. the square of the volume of the box

D. twice the volume of the box

1761. What is the volume of a cube (in cubic cm) whose diagonal measures 4?3 cm ?
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A. 16

B. 27

C. 8

D. 64
1762. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
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A. 2

B. None of these

C. 4

D. 5

E. 8

1763. In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
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A. 100%

B. 84%

C. 80%

D. None of these

E. 87.50%

1764. All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
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A. 648

B. 888

C. 928

D. 1184
1765. A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
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A. 9:1

B. 4:07

C. 7:01

D. 2:05

1766. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
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A. 18 litres

B. 24 litres

C. 42 litres

D. 32 litres

1767. Milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively in what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?
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A. 1:02

B. 1:01

C. 7:5

D. 1:03

1768. In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
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A. 1:03

B. 3:01

C. 1:02

D. 2:1
1769. Two varieties of wheat A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
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A. Rs. 15.50

B. None of these

C. Rs. 14.50

D. Rs. 13.50

E. Rs. 16.50
1770. How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs.3.50 per liter so that the cost of milk reduces to Rs.2 per liter?
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A. 28 litres

B. 30 liters

C. 35 liters

D. 25 liters

1771. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
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A. 3:05

B. 4:05

C. 3 : 2

D. 3:04

1772. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
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A. 3:04

B. 1:03

C. 2 : 3

D. 4:05

1773. Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?
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A. 5-Mar

B. 2-Jan

C. 1/4

D. 7-Feb

1774. In what proportion must water be added to spirit to gain 20% by selling it at the cost price?
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A. 3:05

B. 1:5

C. 4:05

D. 2:05

1775. The ratio in which the price at Rs.7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs.6.30 a kg is_________?
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A. 2:03

B. 3:04

C. 1:3

D. 4:05

1776. A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
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A. 74.7

B. 72

C. 72.9

D. None of these

E. 73.8

1777. n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
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A. 7:08

B. 8:09

C. 3:04

D. 5 : 6
1778. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
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A. 15 liters

B. 9 liters

C. 7 liters

D. 10 liters
1779. Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?
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A. 14:05

B. 19 : 5

C. None of these

D. 16:05

E. 16:07

1780. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:_______?
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A. Rs. 19

B. Rs. 18

C. Rs. 19.50

D. Rs. 18.50

1781. In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?
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A. 4:05

B. 3:04

C. 3:2

D. 3:05

1782. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
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A. 120 liters

B. 180 liters

C. 160 liters

D. 110 liters

1783. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
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A. 44

B. 48

C. 40

D. 52

1784. In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?
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A. 6:01

B. 4:03

C. 2:03

D. 1:6
1785. If four coins are tossed, the probability of getting two heads and two tails is__________?
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A. 5-Feb

B. 3/8

C. 5-Apr

D. 11-Jun

1786. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is___________?
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A. 13-Feb

B. Jan-52

C. 13-Jan

D. 1/26
1787. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
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A. 6-Jan

B. 8-Mar

C. 8-May

D. 5/6
1788. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
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A. 4/455

B. 2/455

C. Jan-91

D. 1/455
1789. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
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A. 2/21

B. 21-Apr

C. 22-Mar

D. 14-Jan

1790. If six persons sit in a row, then the probability that three particular persons are always together is____________?
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A. 20-Jan

B. 10-Mar

C. 5-Apr

D. 1/5
1791. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?
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A. 4-Mar

B. 1/2

C. 5-Mar

D. 4-Jan

1792. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is_________?
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A. 10-Sep

B. 1/5

C. 10-Jan

D. 10-Mar

1793. Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is_____________?
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A. 16/19

B. 2-Jan

C. 5-Apr

D. 17/20
1794. A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
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A. 5-Mar

B. 15-Aug

C. 5-Feb

D. 7/15
1795. The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
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A. 19/35

B. Dec-35

C. 18/35

D. 17/35

1796. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good.
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A. 125/126

B. 1/126

C. Feb-63

D. Jun-63

1797. What is probability of drawing two clubs from a well shuffled pack of 52 cards?
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A. 26-Jan

B. 1/17

C. 13/17

D. 13/51

1798. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
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A. 5/12

B. 9-May

C. Jan-36

D. 12-Jul

1799. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?
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A. 46/105

B. Cannot be determined

C. 17-Oct

D. 19-Oct

1800. A coin is tossed live times. What is the probability that there is at the least one tail?
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A. 16-Jan

B. 2-Jan

C. 31/32

D. Jan-32