mathematics MCQs – Page 39

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 Review each marked answer and report any item that may be outdated or unclear.

1901. A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
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A. ?C?

B. ?C?

C. C?

D. C?

1902. How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?
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A. 40

B. 5040

C. 400

D. 2520

1903. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
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A. 144

B. 120

C. 720

D. 36

1904. How many three letter words are formed using the letters of the word TIME?
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A. 20

B. 12

C. 24

D. 16

1905. 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
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A. 36

B. 60

C. 15

D. 48

1906. The number of permutations of the letters of the word MESMERISE is___________?
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A. 9!/(2!)<sup>3</sup>3!

B. 5!/(2!)<sup>2</sup>3!

C. 9!/(2!)<sup>2</sup>(3!)<sup>2</sup>

D. 9!/(2!)23!
1907. A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
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A. 215

B. 216

C. 243

D. 729

1908. A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
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A. 512

B. 40

C. 1024

D. 20

1909. There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
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A. 870

B. 435

C. 30!

D. 29! + 1

1910. A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?
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A. 5

B. 7

C. 6

D. 18

1911. The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
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A. (6!)<sup>2</sup>

B. 6! * ?P?

C. 2(6!)

D. 6! * 7

1912. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
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A. 300

B. 750

C. 900

D. 600
1913. In how many ways can live boys and three girls sit in a row such that all boys sit together?
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A. 4800

B. 5760

C. 15000

D. 2880
1914. In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for its correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
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A. 624

B. 1024

C. 19

D. 120

1915. In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?
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A. 480

B. 240

C. 120

D. 360

1916. In how many ways can three consonants and two vowels be selected from the letters of the word TRIANGLE?
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A. 30

B. 13

C. 25

D. 40

1917. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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A. 63

B. 45

C. 126

D. 90

1918. Three candidates in an election received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
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A. 60%

B. 11. 6 %

C. 76. 4 %

D. None of these
1919. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?
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A. 8

B. 15

C. 10

D. 16

1920. If Mobeen while selling two goats at the same price makes a profit of 10% on one goat and suffers a loss of 10% on the other, he
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A. Makes no profit and no loss

B. Suffers a loss of 1%

C. Makes a profit of 1%

D. Suffers a loss of 2%

1921. In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?
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A. 2700

B. 3100

C. 2900

D. 3000

1922. The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?
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A. 1411, 1079

B. 989, 1501

C. 1011, 1479

D. 1401, 1089

1923. 10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was___________?
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A. 35000

B. 40000

C. 33000

D. 25000
1924. Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?
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A. Success rate is higher for women

B. Overall success rate is below 50%

C. More men cleared the examination than women

D. Both A and B

1925. The tank full of petrol in Haroons motorcycle lasts for 10 days, if he starts using 25% more every day for how many days will the tank full of petrol last?
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A. 7days

B. 5days

C. 6days

D. 8days
1926. Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than that of the number X?
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A. 9%

B. 8%

C. 10%

D. 11%

1927. If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?
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A. 16-May

B. None of these

C. 9-Feb

D. 5-Mar

1928. Fresh fruit contains 68 % water and dry fruit contains 20 % water. How much dry fruit can be obtained from 100 kg of fresh fruits?
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A. 32 kg

B. 80 kg

C. 52 kg

D. 40 kg
1929. If the price of petral is increased by 20% by what percentage should the consumption be decreased by the consumer if the expenditure on petrel remains unchanged?
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A. 6.67%

B. 16 2/3%

C. 15%

D. 8%

1930. Ghafoor went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
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A. Rs. 15.70

B. Rs. 15

C. Rs. 20

D. Rs. 19.70
1931. If the numerator of a fraction is increased by 250 % and the denominator is increased by 400 % the resultant fraction is 7/19. What is the original fraction?
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A. 9-May

B. 19/7

C. 5-Sep

D. 10/19
1932. In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?
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A. 16400

B. 10000

C. 18000

D. 16800
1933. In a company, 60% of the employees are men, of this 40 % are drawing more than Rs. 50000 per year. 36% of the total employees of the company draw more than Rs.50000 per year then what is the percentage of women who are drawing less than Rs. 5000 per year?
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A. 70%

B. 60%

C. 30%

D. 40%

1934. In a town 45% population read magazine A, 55% magazine B, 40% read Magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C and 10% read all the three magazines. What percentage do not read any magazine?
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A. 15%

B. 20%

C. 10%

D. 25%

1935. The quality of water that should be added to reduce 9 ml. Lotion containing 50 % alcohol to a lotion containing 30 % alcohol is_________?
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A. 4 ml

B. 6 ml

C. 3 ml

D. 5 ml

1936. 8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?
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A. 2200

B. 21000

C. 27500

D. 23500

1937. A reduction of 20 % in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is:________?
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A. Rs. 20 per kg

B. Rs. 27.50 per kg

C. Rs. 25 per kg

D. Rs. 22.50 per kg

1938. The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?
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A. Rs. 8000

B. Rs. 18000

C. Rs. 81000

D. Rs 10000

1939. Ramees buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
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A. Rs. 6654

B. Rs. 7000

C. Rs. 6999.20

D. Rs. 6876.10
1940. Of the 1000 inhabitants of a town 60 % are males of whom 20 % are literate. If of all the inhabitants 25 % are literate. Then what percent of the females of the town are literate?
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A. 27.50%

B. 37.50%

C. 22. 5 %

D. 32. 5 %
1941. Fresh grapes contain 80 % water dry grapes contain 10 % water. If the weight of dry grapes is 250 kg. What was its total weight when it was fresh?
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A. 1125 kg

B. 1000 kg

C. 1225 kg

D. 1100 kg

1942. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:________?
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A. 6%

B. 5%

C. 4.37%

D. 8.75%

1943. The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?
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A. 13 1/23 %

B. 10.87%

C. 16.67%

D. 15%

1944. A gardener increases the area of his rectangular garden by increasing its length by 40% and decreasing by 20%. The area of the new garden?
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A. Has increase by 20%

B. Has increase b 8%

C. Has increase by 12%

D. Is exactly the same as the old area

1945. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
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A. None of these

B. Rs. 250

C. Rs. 200

D. Rs. 300

1946. In a survey it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone, if 55% owned both a car and a Mobile phone, What percent of those surveyed owned a car or a mobile phone or both?
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A. 85%

B. 65%

C. 97.50%

D. 80%

1947. In two successive years, 100 and 75 students of a school appeared at the final examination. Respectively 75 % and 60 % of them passed. The average rate of pass is:_________?
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A. 80%

B. 68 4/7 %

C. 80.57%

D. 78%

1948. A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is_________?
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A. 60000

B. 54000

C. 24000

D. 30000

1949. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
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A. 65%

B. 60%

C. 57%

D. 90%

1950. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?
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A. 250

B. 750

C. 500

D. 125