# Mathematics MCQ (Multiple Choice Questions) - SchoolingAxis

Que- The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

a. 3 dm

b. 4 dm

c. 5 dm

d. 6 dm

Que- How many cubes of edge 2 dm can be cut out of a meter cube?

a. 50.0

b. 64.0

c. 216.0

d. 125.0

Que- The volume of a cube is 1728 c. Find its surface.

a. 864 cm^2

b. 648 cm^2

c. 486 cm^2

d. 468 cm^2

Que- The surface of a cube is 24sq cm. Find its volume?

a. 8 cc

b. 16 cc

c. 32 cc

d. 64 cc

Que- The edge of a cube is 2a cm. Find its surface?

a. 6a^2 cm^2

b. 8a^2 cm^2

c. 12a^2 cm^2

d. 24a^2 cm^2

Que- A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is________?

a. 2h

b. 4h

c. 2h/3

d. 3h/2

Que- If the radius of the sphere is doubled then it’s volume is increased by?

a. 1.0

b. 2.0

c. 7.0

d. 8.0

Que- The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio of its diameter to its height.

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Que- A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?

a. 90 cm

b. 1 dm

c. 1 m

d. 1.1 cm

Que- What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

a. 344.35 cm^2

b. 344.35 cm^2

c. 344.35 cm^2

d. None of these

Que- A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

a. 31-Dec-1899

b. 31-Dec-1899

c. 01-Jan-1900

d. 01-Jan-1900

Que- Surface area of a sphere is 2464 cm^2. If its radius is doubled, then the surface area of _________?the new sphere will be

a. 4920 cm^2

b. 4727 cm^2

c. 9856 cm^2

d. 19712 cm^2

Que- A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

a. 150.0

b. 200.0

c. 250.0

d. 300.0

Que- The number of permutations of the letters of the word ‘MESMERISE’ is___________?

a. 9!/(2!)2 3!

b. 9!/(2!)3 3!

c. 9!/(2!)2 (3!)2

d. 5!/(2!)2 3!

Que- The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

a. 720.0

b. 144.0

c. 120.0

d. 36.0

Que- Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

a. 3.0

b. 6.0

c. 24.0

d. 120.0

Que- Using all the letters of the word “THURSDAY”, how many different words can be formed?

a. 8.0

b. 8!

c. 7!

d. 7.0

Que- How many three letter words are formed using the letters of the word TIME?

a. 12.0

b. 20.0

c. 16.0

d. 24.0

Que- A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

a. 21.0

b. 12.0

c. 9.0

d. 108.0

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

a. 870.0

b. 435.0

c. 30!

d. 29! + 1

Que- In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

a. 120.0

b. 720.0

c. 4320.0

d. 2160.0

Que- In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

a. 10080.0

b. 4989600.0

c. 120960.0

d. None of these

Que- 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?

a. 40.0

b. 400.0

c. 5040.0

d. 2520.0

Que- 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?

a. 63.0

b. 90.0

c. 126.0

d. 45.0

Que- In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

a. 9.0

b. 12.0

c. 14.0

d. 18.0

Que- There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?

a. 15.0

b. 18.0

c. 24.0

d. 30.0

Que- Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?

a. One

b. Zero

c. Three

d. Cannot be determined

Que- A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?

a. 10.0

b. 15.0

c. 20.0

d. 25.0

Que- A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

a. 11.0

b. 30.0

c. 14.0

d. 20.0

Que- A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?

a. 4.0

b. 12.0

c. 18.0

d. None of these

Que- 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_________?

a. 5.0

b. 6.0

c. 7.0

d. 18.0

Que- 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?

a. 15.0

b. 36.0

c. 48.0

d. 60.0

Que- Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving  I. Single flag of different colours  II. Any two flags in a different sequence of colours.  III. three flags in a different sequence of colours.  The maximum number of codes that can be generated is.

a. 6.0

b. 9.0

c. 15.0

d. 18.0

Que- Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

a. 36.0

b. 81.0

c. 91.0

d. 116.0

Que- A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?

a. 12.0

b. 48.0

c. 36.0

d. 42.0

Que- In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?

a. 19.0

b. 120.0

c. 624.0

d. 1024.0

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

a. 120.0

b. 240.0

c. 360.0

d. 480.0

Que- Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?

a. 5.0

b. 6.0

c. 7.0

d. 8.0

Que- 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?

a. 20.0

b. 40.0

c. 512.0

d. 1024.0

Que- Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?

a. 29.0

b. 32.0

c. 55.0

d. 30.0

Que- A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?

a. ²²C₁₀

b. ²²C₁₀ + 1

c. ²²C₉ + ¹⁰C₁

d. ²²C₁₀ – 1

Que- A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?

a. ¹²C₅ * 10

b. ¹²C₇ * 10

c. ¹²C₇ * ¹⁰C₅

d. 12 * ¹⁰C₅

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

a. 300.0

b. 450.0

c. 600.0

d. 750.0

Que- 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?

a. 300.0

b. 600.0

c. 750.0

d. 900.0

Que- Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?

a. 720.0

b. 1440.0

c. 1860.0

d. 2160.0

Que- The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?

a. 24.0

b. 23.0

c. 119.0

d. 120.0

Que- A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

a. 20.0

b. 54.0

c. 42.0

d. 60.0

Que- The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

a. 4000.0

b. 2160.0

c. 4320.0

d. 5300.0

Que- In how many ways can live boys and three girls sit in a row such that all boys sit together?

a. 4800.0

b. 5760.0

c. 2880.0

d. 15000.0

Que- In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?

a. 04-Nov-2020

b. 1.0

c. 01-Feb-1933

d. 19/66

Que- What is probability of drawing two clubs from a well shuffled pack of 52 cards?

a. 13/51

b. 01-Jan-2017

c. 01-Jan-2026

d. 13/17

Que- What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

a. 01-Jan-2021

b. 04-Jul-2020

c. 02-Jul-2020

d. 05-Jul-2020

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

a. 01-Jan-2013

b. 01-Feb-2013

c. 01-Jan-2026

d. 01-Jan-1952

Que- From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is_________?

a. 01-Jan-2026

b. 01-Mar-1952

c. 15/26

d. 01-Nov-2026

Que- 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?

a. 01-Jun-2020

b. 05-Aug-2020

c. 03-Aug-2020

d. 05-Jun-2020

Que- 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?

a. 18/35

b. 01-Dec-1935

c. 17/35

d. 19/35

Que- In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?

a. 01-May-2021

b. 01-May-2014

c. 01-Sep-2014

d. 16/21

Que- The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?

a. 0.4869

b. 0.5904

c. 0.6234

d. 0.5834

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

a. 01-Oct-2020

b. 09-Oct-2020

c. 01-May-2020

d. 03-Oct-2020

Que- What is the probability that a leap year has 53 Sundays and 52 Mondays?

a. 0.0

b. 01-Jul-2020

c. 02-Jul-2020

d. 05-Jul-2020

Que- Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?

a. 01-Oct-2017

b. 01-Oct-2019

c. 46/105

d. Cannot be determined

Que- A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

a. 04-Sep-2020

b. 05-Sep-2020

c. 07-Sep-2020

d. 08-Sep-2020

Que- 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?

a. 01-Mar-2022

b. 01-Apr-2021

c. 01-Feb-2021

d. 01-Jan-2014

Que- 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?

a. 1/455

b. 2/455

c. 01-Jan-1991

d. 4/455

Que- A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?

a. 17/91

b. 33/91

c. 51/91

d. 65/91

Que- 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.

a. 01-Jun-1963

b. 01-Feb-1963

c. 125/126

d. 1/126

Que- A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.

a. 62/63

b. 125/126

c. 01-Jan-1963

d. 1/126

Que- Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.

a. 05-Sep-2020

b. 05-Dec-2020

c. 01-Jan-1936

d. 07-Dec-2020

Que- Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?

a. 07-Dec-2020

b. 05-Sep-2020

c. 01-Jan-1936

d. 05-Dec-2020

Que- Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.

a. 1/216

b. 01-Jan-1936

c. 05-Sep-2020

d. 05-Dec-2020

Que- A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?

a. 25/42

b. 01-Sep-2020

c. 01-Oct-2023

d. 41/42

Que- 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 -.

a. 01-Aug-2015

b. 02-May-2020

c. 03-May-2020

d. 01-Jul-2015

Que- If six persons sit in a row, then the probability that three particular persons are always together is____________?

a. 01-Jan-2020

b. 03-Oct-2020

c. 01-May-2020

d. 04-May-2020

Que- If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?

a. 19/52

b. 17/52

c. 01-May-2013

d. 01-Apr-2013

Que- If four coins are tossed, the probability of getting two heads and two tails is__________?

a. 03-Aug-2020

b. 06-Nov-2020

c. 02-May-2020

d. 04-May-2020

Que- If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

a. 01-Apr-2020

b. 01-Feb-2020

c. 03-Apr-2020

d. 03-May-2020

Que- 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_____________?

a. 01-Feb-2020

b. 16/19

c. 04-May-2020

d. 17/20

Que- If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?

a. 01-Jan-2025

b. 01-Feb-2020

c. 01-Apr-2013

d. 01-Oct-2020

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

a. 31/32

b. 01-Jan-2016

c. 01-Feb-2020

d. 01-Jan-1932

Que- The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?

a. 21/25

b. 17/25

c. 01-Apr-2025

d. 01-Aug-2025

Que- Find the least square number which is divisible by 10, 12, 15 and 18?

a. 1600.0

b. 900.0

c. 3600.0

d. 2500.0

Que- Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?

a. 11 hours

b. 12 hours

c. 220 hours

d. 22 hours

Que- Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?

a. 143.0

b. 169.0

c. 260.0

d. 221.0

Que- Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

a. 5073.0

b. 5016.0

c. 5054.0

d. 5035.0

Que- Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

a. 210.0

b. 119.0

c. 126.0

d. 154.0

Que- A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?

a. 7203.0

b. 2403.0

c. 3603.0

d. 4803.0

Que- Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?

a. 9654.0

b. 9666.0

c. 9664.0

d. 9864.0

Que- Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

a. 420.0

b. 515.0

c. 435.0

d. 518.0

Que- What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?

a. 78.0

b. 68.0

c. 58.0

d. None

Que- The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?

a. 1 min

b. 2 min

c. 3 min

d. None

Que- Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

a. 101.0

b. 103.0

c. 107.0

d. 113.0

Que- There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?

a. 5.0

b. 7.0

c. 11.0

d. 13.0

Que- There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

a. 17.0

b. 29.0

c. 23.0

d. 31.0

Que- How many minimum number’s of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?

a. 216.0

b. 192.0

c. 108.0

d. 256.0

Que- A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?

a. 485.0

b. 431.0

c. 391.0

d. 381.0

Que- Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?

a. 56.0

b. 42.0

c. 38.0

d. 34.0

Que- A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

a. 50.0

b. 36.0

c. 24.0

d. 12.0

Que- A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

a. 51.0

b. 61.0

c. 47.0

d. 45.0

Que- Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

a. 53.0

b. 112.0

c. 108.0

d. 106.0

Que- Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

a. 12.0

b. 18.0

c. 24.0

d. 32.0

Que- An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?

a. 3.0

b. 4.0

c. 5.0

d. 6.0

Que- A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?

a. 39.0

b. 40.0

c. 37.0

d. 35.0