lcm and hcf Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Answer: (b)

In the given options, only 372 is not divisible by 24.

Therefore, LCM of numbers cannot be 372.

Answer: (d)

LCM of 48, 72, 108 = 432

the traffic lights will change simultaneously after 432 seconds or 7 min = in 12 secs.

∴ they will change simultaneously at 8 : 27 : 12 hrs.

Answer: (c)

By option (a),

${-7}/{10} < {-2}/3 < {-5}/8$

Here LCM of (3, 8, 10) = 120

${-7}/{10} × 120 < {-2}/3 × 120 < {-5}/8 × 120$

- 84 < – 80 < – 75

So this is correct.

Answer: (c)

LCM of (6, 9, 12) = 36

Then, number is the form of 36p + 4.

Since, the required number between 300 and 400.

∴ p = 9 and 10

∴ Required sum = 328 + 364 = 692

Answer: (d)

LCM of 6, 5, 7, 10 and 12 = 420 seconds

$ 420/60=7 minutes$.

Therefore, in one hour (60 minutes), then will fall together 8 times $(60/7)$ excluding the one at the start.