Question Detail

What will be the LCM of 8, 24, 36 and 54

Answer: Option C

Explanation:

LCM of 8-24-36-54 will be
2*2*2*3*3*3 = 216

1. Find the largest number which divides 62,132,237 to leave the same reminder

Answer: Option C

Explanation:

Trick is HCF of (237-132), (132-62), (237-62)
= HCF of (70,105,175) = 35

2. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

Answer: Option D

Explanation:

Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM

144 * x = 12 * 5040

x = (12*5040)/144 = 420

3. Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.

Answer: Option D

Explanation:

LCM of 2-4-6-8-10-12 is 120 seconds, that is 2 minutes.

Now 60/2 = 30
Adding one bell at the starting it will 30+1 = 31

4. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is

10:28 am
10:30 am
10:31 am
None of above

Answer: Option C

Explanation:

L.C.M. of 60 and 62 seconds is 1860 seconds
1860/60 = 31 minutes

They will beep together at 10:31 a.m.

Sometimes questions on red lights blinking comes in exam, which can be solved in the same way

5. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

$\begin{aligned} \frac{2}{27} \end{aligned}$
$\begin{aligned} \frac{8}{3} \end{aligned}$
$\begin{aligned} \frac{2}{3} \end{aligned}$
$\begin{aligned} \frac{8}{27} \end{aligned}$

Answer: Option A

Explanation:

Whenever we have to solve this sort of question, remember the formula.
HCF = $\begin{aligned} \frac{HCF of Numerators}{LCM of Denominators} \end{aligned}$
So answers will be option 1

Question Detail

What will be the LCM of 8, 24, 36 and 54

1. Find the largest number which divides 62,132,237 to leave the same reminder

2. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

3. Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.

4. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is

5. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

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Question Detail

What will be the LCM of 8, 24, 36 and 54

1. Find the largest number which divides 62,132,237 to leave the same reminder

2. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

3. Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.

4. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is

5. Find the HCF of 23,46,827\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}

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5. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$