Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in **AffairsCloud.com**. Here we are creating question sample in **LCM & HCF**, which is common for all the IBPS,SBI exam and other competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

**Click here to view : LCM & HCF Set 1**

**If the product of two numbers is 2496 and HCF is 8,then the ratio of HCF and LCM is**

A)1:32

B)39:1

C)1:39

D)4:63

E)None of these

###### Answer

**Answer – C) 1:39**

Explanation:

HCF = 8

LCM = Product/HCF

Product of the 2 number = 2496

HCF:LCM = 8 : (2496/8) => 8 : 312 => 1: 39

**The greatest possible length which can be used to measure exactly the lengths 1m 92cm,3m 84cm ,23m 4cm**

A)23

B)32

C)36

D)34

E)None of these

###### Answer

**Answer -B) 32**

Explanation:

192 = 4^2×2^2×3

384 = 4^2×2^2×6

2304 = 4^2×2×6^2

HCF = 4^2×2 = 16×2 = 32

**HCF of 4/3, 8/6, 36/63 and 20/42**

A)4/126

B)4/8

C)4/36

D)4/42

E)None of these

###### Answer

**Answer : A. 4/126**

Explanation:

HCF of numerator(4,8,36,20) = 4

LCM of denominator(3,6,63,42) = 126

**Find the LCM of 3/8, 9/32, 33/48, 18/72**

A)3/8

B)8/33

C)198/8

D)8/3

E)None of these

###### Answer

**Answer -C) 198/8**

Explanation :

LCM of numerator(3,9,33,18) = 198

HCF of denominator(8,32,48,72) = 8

**The HCF of 2511 and 3402 is**

A)31

B)42

C)76

D)81

E)None of these

###### Answer

**Answer -D) 81**

Explanation :

2511 = 81×31

3402 = 81×42

Hence HCF is 81

**A gardener had a number of shrubs to plant in rows. At first he tried to plant 8,then 12 and then 16 in a row but he had always 3 shrubs left with him. On trying 7 he had none left. Find the total number of shrubs.**

A)154

B)147

C)137

D)150

E)None of these

###### Answer

**Answer – B) 147**

Explanation :

**If m and n are two whole numbers and if m^n= 49. Find n^m, given that n ≠ 1**

A)118

B)94

C)561

D)128

E)None of these

###### Answer

**Answer -D) 128**

Explanation :

49 = 7^2 = m^n

n^m = 2^7 = 128

**What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30?**

A)630

B)360

C)603

D)306

E)None of these

###### Answer

**Answer -A) 630**

Explanation :

LCM of 12,18,21 and 30 = 1260

Doubled (divide by 2) = 1260/2 = 630

**HCF and LCM of two numbers are 11 and 385 .If one number lies between 75 and 125 then that number is**

A)123

B)73

C)77

D)154

E)None of these

###### Answer

**Answer – C) 77**

Explanation :

Product of the two number = 11a×11b = 4235

11a×11ab = 4235/121 = 35

35 = 7 × 5 (co prime)

77 × 11 = 77

**If the L.C.M of x and y is z, their H.C.F is**

A)xy/z

B)xyz

C)(x + y)/z

D)z/xy

E)None of these

###### Answer

**Answer – A) xy/z**

Explanation :

HCF = Product of the 2 number/LCM = XY/Z

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