number system Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :1

If an amount of Rs 41,910 is distributed equally amongst 22 persons, how much amount would each person get ?

Answer: (c)

Required amount = $41910/22$ = Rs.1905

Question :2

$(N^{P–1} – 1)$ is a multiple of p, if N is prime to p and p is a

Answer: (c)

$(N^{P - 1} - 1)$ where n is prime to P then

P is always a prime number.

Question :3

How many positive integer values of ‘a’ are possible such that ${a + 220}/{a + 4}$ is an integer?

Answer: (c)

${a + 220}/{a + 4} = {a + 4 + 216}/{a + 4} = 1 + 216/{a + 4}$

Therefore, (a + 4) must be a factor of 216.

The number of factors of 216 = 16

But (a + 4) cannot be equal to 1, 2, 3 and 4 as 'a' has to be a positive integer.

Total possible values = 16 – 4 = 12

Question :4

What is 456 times 121?

Answer: (a)

456 × 121 = 55176

Question :5

Monica, Veronica and Rachael begin to jog around a circular stadium. They complete their one lap in 48 seconds, 64 seconds and 72 seconds respectively. After how many seconds will they be together at the starting point ?

Answer: (a)

Required time = LCM of 48, 64 and 72

248,64,72
224,32,36
212,16,18
26,8,9
33,4,9
1,4,3

LCM = 2 × 2 × 2 × 2 × 3 × 4 × 3 = 576 seconds.

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