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LCM and HCF Previous Year Questions of SSC CGL MAINS, CPO, CGL

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We are providing LCM and HCF questions with their solutions asked by TCS in SSC exams in 2019 of CGL, CHSL, CPO. These questions are useful for upcoming exams of SSC, Railways, and other competitive exams conducted by TCS.

SSC CGL Tier 2 2019 SSC CGL Tier 1 2019 SSC CHSL 2019 SSC CPO 2020 SSC MTS 2019
SSC CGL Tier 2 2018 SSC CGL Tier 1 2018 SSC CHSL 2018 SSC CPO 2019 SSC MTS 2017

LCM HCF SSC Previous Year Questions with Solutions in Short Trick

Q1. A, B, and C are started walking from a point, Their step measure 42 cm, 56 cm, and 64 cm respectively. What is the minimum distance they should walk so that each takes exact number of steps?

A ,B और C एक बिंदु से चलना शुरू करते हैं, उनका कदम क्रमशः 42 सेमी, 56 सेमी और 64 सेमी के है। न्यूनतम दूरी क्या है जो उन्हें चलना चाहिए ताकि वे प्रत्येक सटीक संख्या में कदम उठाए?

SSC CPO 16 March 2019 (Morning)

(a) 14.58 m

(b) 15.60 m            

(c) 13.44 m

(d) 14.06 m

Q2. A and B begin to move simultaneously from one point. The measurements of their cards are 72cm and 84cm respectively. The minimum distance they travel so that the numbers of each of them are the same number :

A और B एक बिंदु से एक साथ चलना शुरू करते है | उनके कदमो की माप क्रमश : 72cm और 84cm कम है | वे न्यूनतम कितनी दूरी चले ताकि प्रत्येक के कदमो की संख्यां एक सामान संख्या हो :  

SSC CPO 14 March 2019 (Evening)

(a) 6.3 m

(b) 2.7 m                     

(c) 3.54 m

(d) 5.04 m

Q1. The HCF of two numbers is 21 and their LCM is 221 times the HCF. If one of the numbers lies between 200 and 300, then the sum of the digits of the other number is:

दो संख्याओं का HCF 21 है तथा उनका LCM, HCF से 221 गुना है | यदि उनमें से एक संख्या 200 से 300 के बीच आती है, तो दूसरी संख्या क्या  है ?

SSC CGL Tier-II 12 September 2019 

(a) 14

(b) 17                

(c) 18

(d) 15

Q2. The LCM of two numbers x and y is 204 times their HCF. If their HCF is 12 and the difference between the numbers is 60, then x+y =?

SSC CGL Tier II- 13 September 2019 

(a) 660

(b) 426            

(c) 852

(d) 348

SSC CGL TIER I

Q1. What is the smallest integer that is divisible by 3,7 and 18?/ 3, 7?

SSC CGL 6 March 2020 (Evening)

(a) 72

(b) 63

(c) 252

(d) 126

Q2. What is the smallest integer that is a multiple of 5,8 and 15?

SSC CGL 9 March 2020 (Morning)

(a) 40

(b) 60

(c) 600

(d) 120

Here are the Solutions to Above LCM and HCF Questions

Sol 1. (c) 

42 = 2x3x7

56 = 2x2x2x7

64 = 2x2x2x2x2

Required distance = LCM of 42,56 and 64 = 2x2x2x2x2x3x7 = 1344 cm or 13.44 meters   

Sol 2. (d) 

72=2x2x2x3x3

84=2x2x3x7

Required distance = LCM of (72 and 84) = 2x2x2x3x3x7 = 5.04 m

Sol 3. (d)

HCF = 21

LCM = 21 x 221 

Let the numbers are 21a and 21b

 ⇒ 21a x 21b = 21 x (21 x 221)

⇒ a × b=221

Only possible pairs of a,b are 13 and 17.

So, the numbers will be 13x21 = 273 and 17x21 = 357 

Required sum = 3+5+7 = 15

Sol 4. (d)

HCF = 12

LCM = 12 x 204

According to the question 

x-y = 60

And 

x × y= 12 x (12 x 204) 

⇒(60+y) × y=12 × (12 × 204)

⇒60y+y2 -144  ×  204 =0

⇒y2+204y-144y-144 204 =0

⇒(y+204)(y-144) = 0

⇒y=144 and x = 144+60 =204

Required sum = x+y = 204+144 = 348

Sol 5.

Ans. (d)

LCM (3,7,18) = 187 = 126

Sol 6.

Ans. (d)

LCM(5,8,15) = 158 = 120

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