number system Model Questions & Answers, Practice Test for ibps so prelims 2023

Question :16

Outside a meeting room, Madhukar was told by a person that each meeting takes place after 13/4 hours. The last meeting has been over just 45 minutes ago and the next meeting will take place at 2 p.m. At what time did Madhukar receive this information?

Answer: (a)

Let Madhukar received the information x hour before 2 p.m.

$3/4 + x = 13/4 ⇒ x = 13/4 - 3/4 = 5/2 = 2{1}/2$

Hence Madhukar received information $2{1}/2$ hours

before 2 p.m. i.e., 11 : 30 a.m.

Question :17

The sum of first n odd numbers (i.e., 1 + 3 + 5 + 7 + ... + 2n – 1) is divisible by 11111 then the value of n is

Answer: (b)

Go through option

$S_n$ = 1 + 3 + 5 + 7 +...+ 22221

$S_11111 = (11111)^2$

Hence it is divisible by 11111. Thus option (b) is correct.

Question :18

The digit in the units place of the resulting number of the expression $(234)^100 + (234)^101$ is

Answer: (d)

$(234)^100 + (234)^101$

See the pattern

$4^1$ = 4

$4^2$ = 16

$4^3$ = 64

$4^4$ = 256

so, at odd power of 4 we get unit digit as '4' and at even power of 4 we get unit digit as '6'.

⇒ $(234)^100$ unit digit is 6

⇒ $(234)^101$ unit digit is 4

⇒ $(234)^100 + (234)^101$

unit digit will be (6 + 4 = 10) zero.

So, option (d) is correct.

Question :19

A six digit number is formed by repeating a three digit number. For example 245245. Any number of this form is always divisible by

Answer: (d)

Question :20

For two observations, the sum is S and product is P. What is the harmonic mean of these two observations ?

Answer: (b)

$\text"HM" = {2\text"ab"}/\text"a + b" = {2\text"P"}/\text"S"$

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