HCF and LCM Questions Answers Online Quiz Test
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1. Find the HCF of
\begin{aligned}
2^2 \times 3^2 \times 7^2, 2 \times 3^4 \times 7
\end{aligned}- 128
- 126
- 146
- 434
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2. Find the HCF of 54, 288, 360
- 18
- 36
- 54
- 108
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3. Reduce \begin{aligned}
\frac{368}{575}
\end{aligned} to the lowest terms.- \begin{aligned} \frac{30}{25} \end{aligned}
- \begin{aligned} \frac{28}{29} \end{aligned}
- \begin{aligned} \frac{28}{29} \end{aligned}
- \begin{aligned} \frac{16}{25} \end{aligned}
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4. Reduce \begin{aligned}
\frac{803}{876}
\end{aligned} to the lowest terms.- \begin{aligned} \frac{11}{12} \end{aligned}
- \begin{aligned} \frac{23}{24} \end{aligned}
- \begin{aligned} \frac{26}{27} \end{aligned}
- \begin{aligned} \frac{4}{7} \end{aligned}
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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- \begin{aligned} 2^4 \times 3^4 \times 5^3 \end{aligned}
- \begin{aligned} 2^4 \times 3^4 \times 5^3 \times 11 \end{aligned}
- \begin{aligned} 2^2 \times 3^2 \times 5^2 \end{aligned}
- \begin{aligned} 2 \times 3 \times 5 \end{aligned}
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6. What will be the LCM of 8, 24, 36 and 54
- 54
- 108
- 216
- 432
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7. 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}
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8. Find the LCM 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}
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9. Find the HCF of 2.1, 1.05 and 0.63
- 0.44
- 0.64
- 0.21
- None of above
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10. If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other
- 34
- 77
- 12
- 45
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11. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
- 269
- 285
- 300
- 275
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12. Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
- 45cm
- 255cm
- 244cm
- 55cm
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13. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
- 125
- 127
- 129
- 131
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14. Find the largest number which divides 62,132,237 to leave the same reminder
- 30
- 32
- 35
- 45
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15. Find the largest number of four digits which is exactly divisible by 27,18,12,15
- 9700
- 9710
- 9720
- 9730
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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.
- 15
- 16
- 30
- 31
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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
- 10:28 am
- 10:30 am
- 10:31 am
- None of above
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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
- 16cm
- 25cm
- 15cm
- 35cm
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19. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
- 48
- 22
- 56
- 27
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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
- 400
- 256
- 120
- 420