13
Q:

In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

A) 26 B) 24
C) 18 D) 12

Answer:   A) 26



Explanation:

Gold coins = 18000 , Silver coins = 9600 , Bronze coins = 3600

Find a number which exactly divide all these numbers 

That is HCF of 18000, 9600& 3600 

All the value has 00 at end so the factor will also have 00.

HCF for 180, 96 & 36.

 

Factors of  

180 = 3 x 3 x 5 x 2 x 2

96 = 2 x 2 x 2 x 2 x 2 x 3 

36 = 2 x 2 x 3 x 3 

Common factors are 2x2×3=12

 Therefore, Actual HCF is 1200

 

  

Gold Coins 18000/1200 will be in 15 rooms

Silver Coins 9600/1200 will be in 8 rooms

Bronze Coins 3600/1200 will be in 3 rooms

Total rooms will be (15+8+3)  =  26 rooms.

Subject: HCF and LCM
Exam Prep: CAT
Job Role: Bank Clerk
Q:

Find the Greatest Common Factor of 280 and 144.

A) 2 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:
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5 916
Q:

Find the LCM of 34, 51 and 68.

A) 238 B) 102
C) 136 D) 204
 
Answer & Explanation Answer: D) 204

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3 1350
Q:

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is

A) 60 B) 36
C) 72 D) 48
 
Answer & Explanation Answer: B) 36

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3 900
Q:

Find the LCM of 12, 16, 20 and 24.

A) 180 B) 220
C) 240 D) 260
 
Answer & Explanation Answer: C) 240

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3 870
Q:

The HCF of 24, 60 and 90 is:

A) 3 B) 6
C) 12 D) 4
 
Answer & Explanation Answer: B) 6

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7 896
Q:

Find the HCF & LCM of 16, 24.

A) 8, 48 B) 4, 12
C) 2, 24 D) 4, 48
 
Answer & Explanation Answer: A) 8, 48

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4 915
Q:

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

A) 60 B) 55
C) 50 D) 65
 
Answer & Explanation Answer: B) 55

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6 1243
Q:

Find the largest number of three digits exactly divisible by 15, 18, 27 and 30.

A) 870 B) 900
C) 810 D) 780
 
Answer & Explanation Answer: C) 810

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5 1432