25
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

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

Q:

Consider a two-digit number. The difference between the number and the number we get when its digits are reversed is 27. If the sum of the digits in the given number is 9, find the HCF of the number and the number when its digits are reversed.

 A) 6 B) 4 C) 9 D) 5

Explanation:

4 606
Q:

The LCM of

 A) 25x3y5 B) 15x3y5 C) 12x3y3 D) 60x3y5

Explanation:

4 3385
Q:

The LCM of the three numbers 45, 25 and 35 is:

 A) 1400 B) 1225 C) 1575 D) 1800

Explanation:

3 7949
Q:

What is the HCF of 132 and 176?

 A) 33 B) 66 C) 44 D) 22

Explanation:

3 2924
Q:

The HCF of 96, 156 and 60 is

 A) 3 B) 48 C) 12 D) 4

Explanation:

6 630
Q:

The LCM of 60 and 54 is

 A) 6 × 5 × 9 B) 6 × 10 × 3 C) 6 × 10 × 9 D) 60 × 54

Explanation:

4 4757
Q:

The LCM of 145 and 87 is:

 A) 580 B) 725 C) 290 D) 435

Explanation:

4 4548
Q:

Find the HCF of 48, 92 and 140.

 A) 8 B) 6 C) 4 D) 3