# Bank Exams :: Quantitative Aptitude :: Hcf and lcm

## Home Bank Exams / Quantitative Aptitude Hcf and lcm Questions and Answers

1 .
The respective ratio between the present ages of Ram and Rakesh is 6 : 11. Four years ago, the ratio of the ages was 1 : 2 respectively. What will be Rakesh's age after five years ?
45 years
29 years
49 years
Cannot be determined
None of these
2 .
If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is $25 \over 51$, what is the original fraction ?
$11 \over 17$
$11 \over 15$
$15 \over 17$
$13 \over 15$
None of these
3 .
When 30% of one number is subtracted from another number, the second number reduces to its four-fifth. What is the ratio between the first and the second number respectively?
4 : 7
3 : 2
2 : 3
Cannot be detemined
None of these
4 .
If the numerator of a fraction is increased by 400% and the denominator is increased by 500%. The resultant fraction is $20 \over 27$. What was the original fraction ?
$9 \over 8$
$11 \over 12$
$8 \over 9$
Cannot be determined
None of these
5 .
The difference between the $3 \over 4$th of $4 \over 5$th of a number and $1 \over 6$th of $2 \over 5$th of the same number is 648. What is the number ?
1110
1215
1325
1440
None of these
6 .
If 3$4 \over 5$ is subtracted from 6$3 \over 5$ and difference is multiplied by 355 then what will be the final number ?
1004
884
774
994
None of these
7 .
If the numerator of a fraction is increased by 240% and the denominator of the fraction is decreased by 50%, the resultant fraction is 2$5 \over 6$. What is the original fraction ?
$1 \over 4$
$2 \over 3$
$5 \over 12$
$4 \over 11$
None of these
8 .
If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is $15 \over 26$. What was the original fraction ?
$8 \over 11$
$10 \over 11$
$9 \over 13$
$10 \over 13$
None of these
9 .
Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 seconds respectively, In how much time, will they meet again at the starting point ?
3 min 15 sec
21 min
16 min 30 sec
12 min
None of these
10 .
Amit, Sucheta and Neeti start running around a circular track and complete one round in 18, 24 and 32 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time ?
196
288
324
Cannot be determined
None of these
11 .
The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
161
171
181
191
None of these
12 .
The LCM of two numbers is 2079 and their HCF is 27. if one of the numbers is189, find the other
273
279
297
307
None of these
13 .
Find the least number which, when divided by 18, 24, 30 and 42, will leave in each case the same remainder 1.
2521
2556
2456
2473
None of these
14 .
Find the greatest number of six digits which, no being divided by 6, 7, 8, 9 and 10, leaves 4, 5, 6, 7 and 8 as remainder respectively.
997918
997919
997914
997916
None of these
15 .
what least number must be subtracted from 1936 so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
29
39
49
59
None of these
16 .
What greatest number can be subtracted from 10,000 so that the remainder may be divisible by 32, 36, 48 and 54 ?
9136
9191
9933
9216
None of these
17 .
Find the least number which, when divided by 8, 12 and 16, leaves 3 as the remainder in each case; by 7 leaves no remainder.
145
147
148
157
None of these
18 .
Find the greatest number that will divide 55, 127 and 175 so as to leave the same remainder in each case.
26
24
23
29
None of these
19 .
What least number should be added to 3500 to make it exactly divisible by 42, 49, 56 and 63
10
18
25
28
None of these
20 .
Find the least number which, when divided by 72, 80 and 88, leaves the remainders 52, 60 and 68 respectively.
7900
7800
7200
7600
None of these
21 .
Find the greatest number of 4 digits which, when divided by 2, 3, 4, 5, 6 and 7, should leave remainder 1 in each case.
9661
9671
9695
9696
None of these
22 .
The traffic lights at three different road crossings change after every 48 sec., 72 sec., and 108 sec. respectively. If they all change simultaneously at 8:20:00 hrs, then at what time will they again change simultaneously?
8 : 47 : 15
8 : 27 : 12
8 : 37 : 14
8 : 57 : 12
None of these
23 .
The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is devided by 2, the quotient is 44. What is the other number?
108
44
124
132
None of these
24 .
The product of two number is 2160 and their HCF is 12. Find the possible pairs of numbers
1
2
3
4
None of these
25 .
Find the greatest number of 4 digits and the least number of 5 digits that have 144 as their HCF.
10080
10980
10008
10990
None of these
26 .
Find the least number that, being increased by 8, is divisible by 32, 36 and 40.
1432
1492
1472
1570
None of these
27 .
Three bells toll at intervals of 9, 12 and 15 minutes respectively. All the three begin to toll at 8 a.m. At what time will they toll together again?
8.45 am
10.30 am
11.00 am
1.30 pm
None of these
28 .
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
27
36
43
400
402
29 .
In a morning walk, three persons step off together, their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that they can cover the distance in complete steps?
122m 40 cm
123 m 45 cm
122 m 45 cm
122 m 50 cm
None of these