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

Answer: (a)

Decimal equivalent of given fractions:

$2/5 = 0.4; 3/4 = 0.75; 4/5 = 0.8;$

$5/7 =0.714; 6/11 = 0.545$

Clearely, 0.4 < 0.545 < 0.714 < 0.75 < 0.8

∴ $2/5 < 6/11 < 5/7 < 3/4 < 4/5$

Answer: (d)

Complete remainder = $d_1 d_2 r_ 3 + d_1 r_2 + r_1$

= 5 × 6 × 7 + 5 ×4 + 3 = 233.

Dividing 233, by reversing the divisors

i.e. by 8, 6, 5; respective remainders are 1, 5, 4.

Answer: (a)

The sum forms A.P.

First term (a) = 1

Common difference (d)= 2

Sum of 15 term = $n/2(2a + (n - 1)d)$

Sum = $15/2(2 × 1 + (15 - 1)2) = 15/2 × 30 225$

Answer: (c)

The solution of this question is based on the rule that:

The HCF of $(a^m – 1)$ and $(a^n – 1)$ is given by $(a^\text"HCF of m, n" –1)$

Thus, in this question the answer is : $(3^5 – 1)$.

Since 5 is the HCF of 35 and 125.

Answer: (a)

Product of first 40 odd natural number

= 1 . 3 . 5 .7 . 9 . ............ 79.

= 15 .(7 .9 ............. 79)

= 15 × an odd number

So there will be 5 at unit place.

So answer is 5.