24
Q:

A drink vendor has 80 liters of Mazza, 144 liters of Pepsi, and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?

A) 35 B) 36
C) 37 D) 38

Answer:   C) 37



Explanation:

If we want to pack the drinks in the least number of cans possible, then each can should contain the maximum numbers of liters possible.As each can contains the same number liters of a drink, the number of liters in each can is a comman factor for 80,144 and 368; and it is also the highest such factor, as we need to store the maximum number of liters in each can.

So, the number of liters in each can  = HCF of 80,144 and 368 = 16 liters.

Now, number of cans of Maaza = 80/16 = 5

Number of cans of Pepsi = 144/16 = 9

Number of cans of Sprite = 368/16 = 23

Thus, the total number of cans required = 5 + 9 + 23 = 37 

Subject: HCF and LCM
Q:

Find the Greatest Common Factor of 280 and 144.

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

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3 449
Q:

Find the LCM of 34, 51 and 68.

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

Explanation:
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1 664
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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2 490
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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3 481
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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Exam Prep: Bank Exams

7 516
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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4 515
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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4 730
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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5 887