Quantitative Aptitude - HCF and LCM of Numbers
Exam Duration: 60 Mins Total Questions : 30
Which of the following has most number of divisors?
- (a)
99
- (b)
101
- (c)
176
- (d)
182
The H.C.F of \(2^{2}\times3^{3}\times5^{2}\),\(2^{3}\times3^{2}\times5^{2}\times7\) and \(2^{4}\times3^{4}\times5\times7^{2}\times11\) is :
- (a)
\(2^{2}\times3^{2}\times5\)
- (b)
\(2^{2}\times3^{2}\times5\times7\times11\)
- (c)
\(2^{4}\times3^{4}\times5^{5}\)
- (d)
\(2^{4}\times3^{4}\times5^{5}\times7\times11\)
The H.C.F of 204,1190 and 1445 is :
- (a)
17
- (b)
18
- (c)
19
- (d)
21
The H.C.F of 2923 and 3239 is :
- (a)
32
- (b)
47
- (c)
73
- (d)
79
The H.C.F of 3556 and 3444 is :
- (a)
23
- (b)
25
- (c)
26
- (d)
28
The L.C.M of \(2^{3}\times3^{2}\times5\times11\),\(2^{4}\times3^{4}\times5^{2}\times7\)and \({ 2 }^{ 5 }\times { 3 }^{ 4 }\times { 5 }^{ 3 }\times { 7 }^{ 2 }\times 11\) is.
- (a)
\(2^{3}\times3^{2}\times5\)
- (b)
\(2^{5}\times3^{4}\times5^{3}\)
- (c)
\(2^{3}\times3^{2}\times5\times7\times11\)
- (d)
\(2^{5}\times3^{4}\times5^{3}\times7^{2}\times11\)
Find the lowest common multiple of 24,36 and 40.
- (a)
120
- (b)
240
- (c)
360
- (d)
480
The H.C.F of \({2\over3},{8\over9},{64\over81}\)and \(10\over27\)is :
- (a)
\(2\over3\)
- (b)
\(2\over81\)
- (c)
\(160\over3\)
- (d)
\(160\over81\)
The H.C.F of 1.75,5.6 and 7 is
- (a)
0.07
- (b)
0.7
- (c)
3.5
- (d)
0.35
The G.C.D of 1.08,0.36 and 0.9 is :
- (a)
0.03
- (b)
0.9
- (c)
0.18
- (d)
0.108
The H.C.F of 0.54,1.8 and 7.2 is:
- (a)
1.8
- (b)
0.18
- (c)
0.018
- (d)
18
The sum of two numbers is 528 and thier H.C.F. is 33 .The number of pairs of numbers satisfying the above conditions is:
- (a)
4
- (b)
6
- (c)
8
- (d)
12
The number of number pairs lying between 40 and 100 with their H.C.F as 15 is:
- (a)
3
- (b)
4
- (c)
5
- (d)
6
The product of two numbers is 2028 and thier H.C.F is 13 .The number of such pairs is:
- (a)
1
- (b)
2
- (c)
3
- (d)
4
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073.The sum of the three numbers is:
- (a)
75
- (b)
81
- (c)
85
- (d)
89
Three numbers are in the ratio of 3:4:5 and their L.C.M. is 2400.Their H.C.F is:
- (a)
40
- (b)
80
- (c)
120
- (d)
200
The sum of two numbers is 2000 and their L.C.M. is 21879.The two numbers are:
- (a)
1993,7
- (b)
1991,9
- (c)
1989,11
- (d)
1987,13
The L.C.M. of two numbers is 495 and their H.C.F. is 5 .If the sum of the numbers is 10,then their difference is:
- (a)
10
- (b)
46
- (c)
70
- (d)
90
The HCF and LCM of two numbers are 50 and 250 respectively.If the first number is divided by 2,the quotient is 50 .The second number is :
- (a)
50
- (b)
100
- (c)
125
- (d)
250
The product of two numbers is 1320 and their HCF is 6 .The LCM of the numbers is :
- (a)
220
- (b)
1314
- (c)
1326
- (d)
7920
The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14.The larger of the two numbers is:
- (a)
276
- (b)
299
- (c)
322
- (d)
345
LCM of two prime numbers x and y (x>y) is 161.The value of 3y-x is :
- (a)
-2
- (b)
-1
- (c)
1
- (d)
2
Three different containers contain 496 litres,403 litres and 713 litres of mixtures of milk and water respectively.What biggest measure can measure all the different quantities exactly?
- (a)
1 litre
- (b)
7 litres
- (c)
31 litres
- (d)
41 litres
The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pencil is:
- (a)
91
- (b)
910
- (c)
1001
- (d)
1911
Which of the following fractions is the largest?
- (a)
\(7\over8\)
- (b)
\(13\over16\)
- (c)
\(31\over40\)
- (d)
\(63\over80\)
The largest four digit number which when divided by 4,7 or 13 leaves a remainder of 3 in each case is:
- (a)
8739
- (b)
9831
- (c)
9834
- (d)
9893
The least number which when divided by 5,6,7 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder,is:
- (a)
1677
- (b)
1683
- (c)
2523
- (d)
3363
Find the least number which when divided by 16,18,20 and 25 leaves 4 as remainder in each case,but when divided by 7 leaves no remainder
- (a)
17004
- (b)
18000
- (c)
18002
- (d)
18004
Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively .In 30 minutes,how many times do they toll together?
- (a)
4
- (b)
10
- (c)
15
- (d)
16
Four different electronic devices make a beep after every 30 minutes, 1 hour ,\(1{1\over2}\) hour and 1 hour 45 minutes respectively.All the devices beeped together at 12 noon.They will again beep together at:
- (a)
12 midnight
- (b)
3 a.m
- (c)
6 a.m
- (d)
9 a.m