advance math mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Answer: (a)

When 0 is the repeated digit like

100, 200, ...., 9 in number

When 0 occurs only once like

110, 220, ....., 9 in number

When 0 does not occur like

112, 211, ....., 2 × (8 × 9) = 144 in number.

Hence, total = 9 + 9 + 144 = 162.

Answer: (a)

Six students can be arranged in a row is 6! ways.

Another six students can be further arranged in 6! ways.

Hence, total number of ways = 6! × 6!

Note : Do not get confused with the two type of booklets. The booklets can be distributed in 2 ways.

Both these arrangements will be part of the permutation of students arrangement.

Answer: (a)

Chandra hits the target 4 times in 4 shots. Hence, he hits the target definitely.

The required probability, therefore, is given by.

P(both Atul and Bhola hit) + P(Atul hits, Bhola does not hit) + P(Atul does not hit, Bhola hits)

= $3/6 × 2/6 + 3/6 × 4/6 + 3/6 × 2/6$

= $1/6 + 1/3 + 1/6 = 4/6 = 2/3$

Answer: (d)

Let no. of column = x, no. of rows = y

∴ xy = 630 – [3 × 1 + 3 × 2 + ......... + 3 × (y – 1)]

= 630 – 3 [1 + 2 + ........ + (y – 1)]

xy = 630 – ${3(y - 1) y}/2$

(a) If y = 3, then 3x = 630 – 9⇒ x = ${621}/3$ = 207

(b) If y = 4, then 4x = 630 – 18⇒ x = ${612}/4$ = 153

(c) If y = 5, then 5x = 630 – 30⇒ x = ${600}/5$ = 120

Answer: (a)

No. of ways in which 6 men can be arranged at a round table = (6 - 1)!

Now women can be arranged in 6! ways.

Total Number of ways = 6! × 5!