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Arithmetic Ability
Problems On H.C.F And L.C.M
Quiz 2
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Q.1
The number of pair of positive integers whose sum is 99 and HCF is 9 is =
5
4
3
2
Q.2
Which of the following is a pair of co-primes ?
(16, 12)
(18, 25)
(21, 35)
(23, 92)
Q.3
The L.C.M. of 22, 54, 108, 135 and 198 is = ?
330
1980
5940
11880
Q.4
The LCM and the HCF of the numbers 28 and 42 are in the ratio ?
6 : 1
2 : 3
3 : 2
7 : 2
Q.5
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
123
127
235
305
Q.6
From a point on a circular track 5km long A,B and C started running in the same direction at the same time with speed of $$2\frac{1}{2}$$ km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after ?
30 hours
6 hours
10 hours
15 hours
Q.7
Three numbers which are co-prime to one another are such that product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is = ?
75
81
85
89
Q.8
The LCM of $$\frac{2}{3}{\text{,}}\frac{3}{5}{\text{,}}\frac{4}{7},\frac{9}{{13}}$$ is = ?
36
$$\frac{1}{{36}}$$
$$\frac{1}{{1365}}$$
$$\frac{{12}}{{455}}$$
Q.9
The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is = ?
180
360
540
1260
Q.10
Even numbers are formed by talking at least two at a time from the numbers 0, 4, 8, 9. Their H.C.F. is = ?
2
4
10
None fo these
Q.11
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
15 cm
25 cm
35 cm
42 cm
Q.12
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:
75
81
85
89
Q.13
Find the lowest common multiple of 24, 36 and 40.
120
240
360
480
Q.14
Two numbers are in the ratio 3 : 4, if their H.C.F. is 4, then their L.C.M. = ?
48
42
36
24
Q.15
The simplest reduction to the lowest terms of $$\frac{{116690151}}{{427863887}}$$ is = ?
$$\frac{{3}}{{11}}$$
$$\frac{{7}}{{11}}$$
$$\frac{{11}}{{3}}$$
None of these
Q.16
Which of the following has the most number of divisors?
99
101
176
182
Q.17
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
28
32
40
64
Q.18
Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is = ?
3
5
4
6
Q.19
Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.
6557
7556
5675
7664
Q.20
The greatest number which when divides 989 and 1327 leave remainder 5 and 7 respectively = ?
8
16
24
32
Q.21
The HCF and LCM of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is = ?
48
36
24
16
Q.22
Find the highest common factor of 36 and 84
4
6
12
18
Q.23
Which of the following fraction is the largest ?
$$\frac{{7}}{{8}}$$
$$\frac{{13}}{{16}}$$
$$\frac{{31}}{{40}}$$
$$\frac{{63}}{{80}}$$
Q.24
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:
279
283
308
318
Q.25
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
196
630
1260
2520
Q.26
Reduce $$\frac{{128352}}{{238368}}$$ to its lowest terms.
$$\frac{{3}}{{4}}$$
$$\frac{{5}}{{13}}$$
$$\frac{{7}}{{13}}$$
$$\frac{{9}}{{13}}$$
Q.27
L.C.M. of two numbers is 2079 and their H.C.F. is 27. If one of the number is 189, the other number is = ?
297
584
189
216
Q.28
The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is ?
70
1690
364
1264
Q.29
The HCF of two number 12906 and 14818 is 478. Their LCM is ?
400086
200043
600129
800172
Q.30
The H.C.F. of $$\frac{{9}}{{10}},$$ $$\frac{{12}}{{25}},$$ $$\frac{{18}}{{35}}$$ and $$\frac{{21}}{{40}}$$ is:
$$\frac{{3}}{{5}}$$
$$\frac{{252}}{{5}}$$
$$\frac{{3}}{{1400}}$$
$$\frac{{63}}{{700}}$$
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