Quantitative Aptitude - H.C.F and L.C.M of Numbers
Exam Duration: 45 Mins Total Questions : 30
Reduce \(128352\over238368\) to its lowest terms.
- (a)
\(3\over4\)
- (b)
\(5\over13\)
- (c)
\(7\over13\)
- (d)
\(9\over13\)
H.C.F of \(4\times27\times3125\),\(8\times9\times25\times7\) & \(16\times81\times5\times11\times49\) is :
- (a)
180
- (b)
360
- (c)
540
- (d)
1260
Find the highest common factor of 36 and 84 .
- (a)
4
- (b)
6
- (c)
12
- (d)
18
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)
\(2^{5}\times3^{4}\times5^{3}\times7^{2}\times11\)
H.C.F of 3240,3600 and a third number is 36 and their L.C.M is \(2^{4}\times3^{5}\times5^{2}\times7^{2}\). The third number is :
- (a)
\(2^{2}\times3^{5}\times7^{2}\)
- (b)
\(2^{2}\times5^{3}\times7^{2}\)
- (c)
\(2^{5}\times5^{2}\times7^{2}\)
- (d)
\(2^{4}\times3^{5}\times5^{2}\times7^{2}\)
Three numbers are in the ratio 1:2:3 and their H.C.F is 12 .The numbers are:
- (a)
4,8,12
- (b)
5,10,15
- (c)
10,20,30
- (d)
12,24,36
The sum of two numbers is 216 and their H.C.F is 27 .The numbers are:
- (a)
27,189
- (b)
81,189
- (c)
108,108
- (d)
154,162
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 H.C.F. of two numbers is 12 and their difference is 12.The numbers are :
- (a)
66,78
- (b)
70,82
- (c)
94,106
- (d)
84,96
The product of two numbers is 4107.If the H.C.F. of these numbers is 37,then the grater number is :
- (a)
101
- (b)
107
- (c)
111
- (d)
185
The H.C.F of two numbers is 11 and their L.C.M is 7700.If one of the numbers is 275,then the other is :
- (a)
279
- (b)
283
- (c)
308
- (d)
318
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
If the sum of two number is 55 and H.C.F. and L.C.M. of these numbers are 5 and 120 respectively,then the sum of the reciprocals of the numbers is equal to:
- (a)
\(55\over601\)
- (b)
\(601\over55\)
- (c)
\(11\over120\)
- (d)
\(120\over11\)
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 LCM of three different numbers is 120.Which of the following cannot be their HCF?
- (a)
8
- (b)
12
- (c)
24
- (d)
35
About the number of pairs which have 16 as their HCF and 136 as their LCM..,we can definitely say that:
- (a)
no such pair exists
- (b)
only one such pair exists
- (c)
only two such pairs exists
- (d)
many such pairs exists
The HCF and LCM of two numbers are 11 and 385 respectively .If one number lies between 75 and 125,then that number is:
- (a)
77
- (b)
88
- (c)
99
- (d)
110
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
Let N be the greatest number that will divide 1305,4665 and 6905,leaving the same remainder in each case.Then sum of the digits in N is:
- (a)
4
- (b)
5
- (c)
6
- (d)
8
The greatest number which can divide 1356,1868 and 2764 leaving the same remainder 12 in each case is :
- (a)
64
- (b)
124
- (c)
156
- (d)
260
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is :
- (a)
123
- (b)
127
- (c)
235
- (d)
305
Which of the following fractions is the largest?
- (a)
\(7\over8\)
- (b)
\(13\over16\)
- (c)
\(31\over40\)
- (d)
\(63\over80\)
What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30?
- (a)
196
- (b)
630
- (c)
1260
- (d)
2520
The least number which is a perfect square and is divisible by each of the numbers 16,20 and 24 is :
- (a)
1600
- (b)
3600
- (c)
6400
- (d)
14400
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 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainders respectively is :
- (a)
11115
- (b)
15110
- (c)
15120
- (d)
15210
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
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