HCF and LCM Questions Answers Online Quiz Test

• 1. Find the HCF of
  $$\begin{aligned} 2^2 \times 3^2 \times 7^2, 2 \times 3^4 \times 7 \end{aligned}$$

  1. 128
  2. 126
  3. 146
  4. 434

• 2. Find the HCF of 54, 288, 360
  

  1. 18
  2. 36
  3. 54
  4. 108

• 3. Reduce $$\begin{aligned} \frac{368}{575} \end{aligned}$$ to the lowest terms.

  1. $$\begin{aligned} \frac{30}{25} \end{aligned}$$
  2. $$\begin{aligned} \frac{28}{29} \end{aligned}$$
  3. $$\begin{aligned} \frac{28}{29} \end{aligned}$$
  4. $$\begin{aligned} \frac{16}{25} \end{aligned}$$

• 4. Reduce $$\begin{aligned} \frac{803}{876} \end{aligned}$$ to the lowest terms.

  1. $$\begin{aligned} \frac{11}{12} \end{aligned}$$
  2. $$\begin{aligned} \frac{23}{24} \end{aligned}$$
  3. $$\begin{aligned} \frac{26}{27} \end{aligned}$$
  4. $$\begin{aligned} \frac{4}{7} \end{aligned}$$

• 5. HCF of
  $$\begin{aligned} 2^2 \times 3^2 \times 5^2, 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$$ is

  1. $$\begin{aligned} 2^4 \times 3^4 \times 5^3 \end{aligned}$$
  2. $$\begin{aligned} 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}$$
  3. $$\begin{aligned} 2^2 \times 3^2 \times 5^2 \end{aligned}$$
  4. $$\begin{aligned} 2 \times 3 \times 5 \end{aligned}$$

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

  1. 54
  2. 108
  3. 216
  4. 432

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

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

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

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

• 9. Find the HCF of 2.1, 1.05 and 0.63

  1. 0.44
  2. 0.64
  3. 0.21
  4. None of above

• 10. If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other

  1. 34
  2. 77
  3. 12
  4. 45

• 11. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is

  1. 269
  2. 285
  3. 300
  4. 275

• 12. Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm

  1. 45cm
  2. 255cm
  3. 244cm
  4. 55cm

• 13. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

  1. 125
  2. 127
  3. 129
  4. 131

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

  1. 30
  2. 32
  3. 35
  4. 45

• 15. Find the largest number of four digits which is exactly divisible by 27,18,12,15

  1. 9700
  2. 9710
  3. 9720
  4. 9730

• 16. 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.

  1. 15
  2. 16
  3. 30
  4. 31

• 17. 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

  1. 10:28 am
  2. 10:30 am
  3. 10:31 am
  4. None of above

• 18. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is

  1. 16cm
  2. 25cm
  3. 15cm
  4. 35cm

• 19. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is

  1. 48
  2. 22
  3. 56
  4. 27

• 20. 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

  1. 400
  2. 256
  3. 120
  4. 420