Questions
If A = 2n + 13 and B = n + 7, where n is a natural number, then HCF of A and B is
- 2
- 3
- 1
- 4
- 5
The LCM of 5, 8, 12 and 20 will not be a multiple of
- 5
- 3
- 9
- 20
- 8
Three runners running around a circular track can complete one revolution in 2, 3 and 4 hrs, respectively. They will meet again at the starting point after
- 8 hrs
- 6 hrs
- 12 hrs
- 18 hrs
- 24 hrs
The pairs of natural numbers having least common multiple 78 and greatest common divisor 13 are
- 58 and 13 or 16 and 39
- 68 and 23 or 36 and 49
- 18 and 73 or 56 and 93
- 78 and 13 or 26 and 39
- 88 and 13 or 26 and 39
Two natural numbers have their sum as 85 and LCM as 102. Which of the following are the two numbers?
- 30 and 55
- 17 and 68
- 35 and 55
- 51 and 34
- 55 and 30
Four bells toll together at 9.00 am. They toll after 7, 8, 11 and 12 seconds, respectively. How many times will they toll together again in the next 3 hours?
- 3
- 4
- 5
- 9
- 7
Two natural numbers with difference 66 and LCM 360 are
- 120 and 54
- 90 and 24
- 180 and 114
- 130 and 64
- 136 and 70
The LCM of 2.5, 0.5 and 0.175 is
- 2.5
- 5
- 7.5
- 17.5
- 1.75
What is the smallest number which when increased by 6 becomes divisible by 36, 63 and 108?
- 750
- 752
- 754
- 756
- 758
The HCF and LCM of two numbers are 33 and 264, respectively. When the first number is completely divided by 2, the quotient is 33. The other number is
- 66
- 130
- 132
- 196
- 135
Two alarm clocks beep at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12.00 pm noon, at what time will they beep again?
- 12:20 pm
- 12:12 pm
- 12:11 pm
- 12:15 pm
- None of these
Two friends were discussing their marks in an examination. While doing so, they realised that both the numbers had the same prime factors, although one got a score which had two more factors than the other. If their marks are represented by one of the option as given below, which option is correct?
- 30, 60
- 20, 80
- 40, 80
- 20, 60
- 10, 20
Two equilateral triangles have sides of lengths 34 cm and 85 cm. The greatest length of tape that can measure the sides of both of them exactly is
- 34 cm
- 17 cm
- 51 cm
- 68 cm
- None of these
The HCF of 2472, 1284 and a third number N is 12. If their LCM is 23 x 32 x 5 x 103 x 107, then the number N is
- 22 x 32 x 7
- 22 x 33 x 103
- 22 x 32 x 5
- 24 x 32 x 11
- 21 x 33 x 15
There are three pieces of timber of lengths 42 m, 49 m and 63 m. These have to be divided into planks of the same length. The least possible number of planks is
- 5
- 11
- 13
- 8
- None of these