Question

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Multiple Choice Questions
8. The number 313-310 is divisible by
(a) 2 and 3
(b) 3 and 10
(c) 2, 3 and 10 (d) 2, 3 and 13
Level - 1
9. A number lies between 300 and 400. If the
1. When 2256 is divided by 17 the remainder would number is added to the number formed by
reversing the digits, the sum is 888 and if then
(ay 1
(b) 16
unit's digit and the ten's digit change places,
(c) 14
(d) none of these
the new number exceeds the original number
by 9. Find the number.
2. If N is the sum of first 13986 prime numbers,
(a) 339
(b) 341
then N is always divisible by
(c) 378.
(d) 345
(a) 6
(b) 4
(c) 8
(dy none of these 10. What number must be added to 345670 in orde
to make it divisible by 6 ?
3. The rational number of the form 2.970, p and (a) 2
(b) 4
(c) 5
(d) 6
q are positive integers, which represents 0.134 11. The H.C.F. of 280 and 674 is
i.e., (0.1343434...) is
(a) 2
(b) 4
134
(c) 14
(d) 28
12. Find the value of x and state which of the giv
133
133
statement is/are required for it.
(c)
999
I. The L.C.M of x and 18 is 36.
II. The H.C.F of x and 18 is 2.
4. The least number which is a perfect square and
(a) 1, only statement-I is required
is divisible by each of 16, 20 and 24 is
(b) 2, only statement-II is required
(a) 240
(b) 1600
(c) 4, statement-I and II both are required
(c) 2400
(d) 3600
(d) none of these
5. If n is an even natural number, then the largest in T-
134
(a)
(b)
999
990
990​

Answer 1

Answer:

x = 4

HCF  = 2

Step-by-step explanation:

I. The L.C.M of x and 18 is 36.

II. The H.C.F of x and 18 is 2.

LCM * HCF = x * 18

=> 36 * 2  = x * 18

=> x = 4

4 = 2 * 2

18 = 2 * 3 * 3

HCF = 2

LCM = 2 * 2 * 3 * 3 = 36

The least number which is a perfect square

1 = 1²

The H.C.F. of 280 and 674 is

280 = 2 * 2 * 2 * 5 * 7

674 = 2  * 337

HCF  = 2