number system Model Questions & Answers, Practice Test for ibps rrb po prelims

Answer: (a)

∵ 5 chairs + 8 tables = Rs.6574

∴ 10 chairs + 16 tables = 6574 × 2 = Rs. 13148

Answer: (b)

987 = 3 × 7 ×47

So, required number must be divisible by each one of 3, 7, 47.

None of the numbers in (a) and (b) are divisible by 3, while (d) is not divisible by 7.

∴ Correct answer is (c).

Answer: (b)

From option (c) By Hook and Crook N = 6

$N^2 - 33 = 6^2 - 33 = 36 - 33 = 3$, which is prime.

$N^2 - 31 = 6^2 - 31 = 36 - 31 = 5$, which is prime.

$N^2 - 29 = 6^2 - 29 = 36 - 29 = 7$, which is prime.

So, N = 6 only. possible value

Answer: (c)

The given fractions are $1/2 , 2/3 , 5/9 , 6/13$ and $7/9$

LCM of their denominators is 234

∴ ${117,78, 26,18, 26}/234$

${117, 2 × 78,5 × 26,6 × 18,7 × 26}/234$

${117,156,130,108,182}/234$

On arranging the numerators in ascending order

108, 117, 130, 156, 182.

∴ Ascending order of the fraction is

$6/13 < 1/2 < 5/9 < 2/3 <7/9$

Answer: (b)

N = 35 × 45 × 55 × 60 × 124 × 75

= 7 × 5 × 9 × 5 × 11 × 5 × 12 × 5 × 124 × 5 × 5 × 3

= $5^6$ × 7 × 9 × 11 × 12 × 124 × 3

m = 6, The given number has maximum factor of 5 is 6.