11. There are two numbers, the square of first number is 36 .If the HCF and LCM of two numbers are 6 and 42 respectively,Find the other number?
A: 45
B: 42
C: 43
D: 44
Correct answer: option b
The first number is square root of 36 => 6
Let the other number be x.
As we know that,
Product of two numbers = LCM * HCF
6 * x = 6*42
X= 42
12. Ramya calculated the product of two numbers is 13225 , the hcf is 25. Then find the LCM?
A: 345
B: 279
C: 347
D: 529
Correct answer: option D
13225= 25*LCM
HCF= 529
Correct Answer: option d
13.What is the smallest number which when divided by 13 and 17 leaves a remainder of 8?
A: 248
B: 229
C: 258
D: 274
Let us find the LCM of 13 and 17.
13 = 1*13.
17 = 1*17
LCM= 13*17 =221.
Add 8 to this to get the required answer.
The answer is 229. It gives a remainder of 8 when divided by 13 and 17.
14.If LCM of two prime numbers a and b (a>b) is 437 then the value of 5b-5a is:
A:18
B:-16
C:12
D:-20
If LCM of a and b is 437. Then, ab= 437.
Now, co-primes with product 437 are (1, 437) and (19, 23).
Since a and b are prime numbers and a>b, we have a=23 and b=19.
Therefore, 5b- 5a= 5*19- 5*23 = -20
Correct Answer: Option d
15.The number between 3000 and 4000 which is exactly divisible by 30, 36, and 80 is:
A:3646
B:3647
C:3600
D:3657
Firstly, we find the LCM of 30, 36, and 80 = 720
∴ Required number = Multiple of 720
= 720 × 5 = 3600
because 3000 < 3600 < 4000
16.The reciprocal of the hcf and lcm of two are 1/36 and 1/48 . if one of the number is 24 then other no. is
A:72
B:144
C:96
D:48
reciprocal of the hcf and lcm of two are 1/36 and 1/48
so, HCF = 36 , LCM = 48
LCM * HCF = product of two numbers
48*36 / 24 = 72
17.If the LCM and HCF of 2 numbers are 26 and 23 respectively, the product of 2 numbers can be expressed as
A:23*26
B:14*28
C:23*30
D:25*26
LCM* HCF = product of number
23*26= product
Correct Answer: Option A
18.If LCM and HCF of two numbers are 169 and 26 respectively. Then the smallest factor of the product of the two numbers is
A:5
B:6
C:7
D:2
169*26 = 4394
4394 = 2 * 13 * 13 *13
Hence the smallest factor is 2
Correct Answer: Option d
19.The product of two numbers is 841 and their L.C.M is 29 then HCF is?
A:12
B:18
C:29
D:14
Hcf * LCM = product of two no.
hcf * 29 = 841
hcf = 841/29
hcf = 29 ans
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| Wipro Questions with solutions LCM and HCF Part - 2 |
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