TNPSC Quantitative Aptitude - H C F and L C M of Numbers
Exam Duration: 45 Mins Total Questions : 30
The H.C.F of \(2^{4}\times3^{2}\times5^{3}\times7\),\(2^{3}\times3^{3}\times5^{2}\times7^{2} \) and \(3\times5\times7\times11\) is :
- (a)
105
- (b)
1155
- (c)
2310
- (d)
27720
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
Find the lowest common multiple of 24,36 and 40.
- (a)
120
- (b)
240
- (c)
360
- (d)
480
The L.C.M of 148 and 185 is :
- (a)
680
- (b)
740
- (c)
2960
- (d)
3700
The H.C.F of \({9\over10},{12\over25},{18\over35}\) and \(\frac { 21 }{ 40 } \) is
- (a)
\(3\over5\)
- (b)
\(252\over5\)
- (c)
\(3\over2800\)
- (d)
\(63\over700\)
The L.C.M of \({1\over3},{5\over6},{2\over6}\)and \(4\over27\)
- (a)
\(1\over54\)
- (b)
\(10\over27\)
- (c)
\(20\over3\)
- (d)
None of these
The L.C.M of \({2\over3},{3\over5},{4\over7},{9\over13}\) is
- (a)
36
- (b)
\(1\over36\)
- (c)
\(1\over1365\)
- (d)
\(12\over455\)
The H.C.F of 1.75,5.6 and 7 is
- (a)
0.07
- (b)
0.7
- (c)
3.5
- (d)
0.35
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)
\(2^{4}\times3^{5}\times5^{2}\times7^{2}\)
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 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 product of the L.C.M and H.C.M of two numbers is 24. The difference of two numbers is 2.Find the numbers.
- (a)
2 and 4
- (b)
6 and 4
- (c)
8 and 6
- (d)
8 and 10
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 HCF of two numbers is 8.Which one of the following can never be their LCM?
- (a)
24
- (b)
48
- (c)
56
- (d)
60
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
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
Two numbers,both greater than 29,have HCF 29 and LCM 4147.The sum of the numbers is
- (a)
666
- (b)
669
- (c)
696
- (d)
966
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
A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles,all of the same size.What is the largest size of the tiles which could be used for the purpose ?
- (a)
14 cms
- (b)
21 cms
- (c)
42 cms
- (d)
None of these
Find the greatest number that will divide 43,91 and 183 so as to leave the same remainder in each case.
- (a)
4
- (b)
7
- (c)
9
- (d)
8
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is :
- (a)
123
- (b)
127
- (c)
235
- (d)
305
The smallest number which when perfect square and is diminished by 12,16,18,21 and 45 is :
- (a)
1008
- (b)
1015
- (c)
1022
- (d)
1032
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
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