Explore topic-wise MCQs in Maths.

The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will they again change simultaneously?

The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is:

Three Alarm make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

Find the HCF of 3341 and 3328.

Two numbers are in the ratio 3 : 5 and their HCF is 20. Their LCM is

The HCF of two numbers is 96 and their LCM is 1296. If one of the numbers is 864, the other is

The ratio of two numbers is 2: 3 and their L.C.M is 48. What is the number?

Find the total number of Prime Factors of 720 ?

The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF. If one of the numbers is 56, the other is :

Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is

Find the HCF of 306, 204 and 136.

The least number which when divided by 4, 6, 8 and 9 leave zero remainders in each case and when divided by 13 leaves a remainder of 7 is:

What is the highest common factor of 2x³ + x² -x -2 and 3x³- 2x² + x - 2 ?

If (x + k ) is the common factor of x² + ax + b and x² + cx + d , then what is k equal to ?

What is the L.C.M of 12, 23, 24?

The number of pairs of positive integers whose sum is 99 and HCF is 9 is:

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?

A General of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remained unused.

If the product of three consecutive numbers is 210 then the sum of the smaller numbers is:

The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is

If the product of three consecutive numbers is 210 then sum of the smaller number is:

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.

There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen?

A fraction becomes $${1 over 6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $${1 over 3}$$. Then, the LCM of the numerator and denominator of the fraction, must be

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively

Three bells ring simultaneously at 11 a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three rings together next is:

The LCM of three different numbers is 120. Which of the following cannot be their HCF?

Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is:

The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number is

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is

The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 54, is

What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7?

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers?

The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is

The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be:

Three sets of English, Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be:

The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is

The largest 4 - digit number exactly divisible by each of 12, 15, 18 and 27 is :

A number which when divided by 10 leaves remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is:

If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be.

A milkman has 75 litres milk in one cane and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number:

The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively is:

HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is:

The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is:

What is the L.C. M of $$ {2 over 5},{3 over 10},{4 over 15}$$.

The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?

Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.