Mathematical Ability - HCF and LCM of Numbers
Exam Duration: 30 Mins Total Questions : 20
The HCF of 1134, 1344 and 1512 is
- (a)
24
- (b)
42
- (c)
44
- (d)
64
Find the greatest number that will divide each of 90, 108 and 126 without leaving a remainder.
- (a)
18
- (b)
17
- (c)
19
- (d)
20
The LCM of 24,36 and 40 is
- (a)
120
- (b)
240
- (c)
360
- (d)
480
Find the greatest number of three digits that can be exactly divided by 75, 45 and 60.
- (a)
10180
- (b)
10000
- (c)
10280
- (d)
10080
The LCM of (23 x 3 X 52 x 7), (24 X 32 X 5 X 72 X 11) and (2 x 33 x 54) is
- (a)
(24 x 33 x54)
- (b)
(2x3x5x7x11)
- (c)
(24 x 33 X 54 X 72x 11)
- (d)
none of these
Find the greatest number of six digits which is exactly divisible by 27, 45, 60, 72 and 96.
- (a)
900920
- (b)
997921
- (c)
997920
- (d)
996000
The HCF of 210 and 55 in the form of 210 x 5 + 55y. Then y =
- (a)
19
- (b)
-19
- (c)
18
- (d)
29
The largest number which divides 245 and 1029 leaving remainder 5 is
- (a)
14
- (b)
18
- (c)
12
- (d)
16
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are:
- (a)
273,363
- (b)
273,359
- (c)
273,361
- (d)
273,357
The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, then the other is
- (a)
128
- (b)
124
- (c)
134
- (d)
none of these
Three bells ring together at 10 a.m. If the bells ring regularly at the interval of 10,15 and 20 min. respectively. Then at what time they will ring together again?
- (a)
10:15 a.m.
- (b)
10:30 a.m.
- (c)
11:00 a.m.
- (d)
11:30 a.m.
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:
- (a)
8
- (b)
12
- (c)
84
- (d)
96
If two numbers are in the ratio 5 : 7 and their LCM is 315, then the product is:
- (a)
2358
- (b)
2385
- (c)
2538
- (d)
2835
The product of two co-primes is 117. Their LCM should be
- (a)
1
- (b)
117
- (c)
= to their HCF
- (d)
cannot be calculated
If (x - \(\alpha\)) is the GCD of the polynomials f(x) = x2 + mx + 1 and g(x) = x2 - 3x + 2, then the value of m is
- (a)
-2
- (b)
2
- (c)
1
- (d)
5
If (x - 2) is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
- (a)
3,6
- (b)
3,-6
- (c)
-3, -6
- (d)
-3,6
The LCM of 1- x2, x3 -1 and x4 -1 is:
- (a)
(x4 - 1) (x2 + x + 1)
- (b)
(x2 - 1) (x2 + x + 1)
- (c)
(x4 + 1) (x2 -x + 1)
- (d)
(x2 -1) (x + 1) (x2 + x + 1)
Determine the number nearest to 10000 but greater than 100000 which is exactly divisible by each of 8, 15 and 21.
- (a)
10080
- (b)
10800
- (c)
100800
- (d)
100880
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds. B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
- (a)
26 min 18 sec
- (b)
42 min 36 sec
- (c)
46 min 12 sec
- (d)
45 min
Three sets of English, Mathematics and Science books containing 336, 240 and 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:
- (a)
14
- (b)
21
- (c)
22
- (d)
48