time and work Model Questions & Answers, Practice Test for rbi grade b prelims 2024

Answer: (a)

${M_1 D_1}/{M_2 D_2} = {W_1}/{W_2}$

⇒${5 × 5}/{x × 50} = 5/{100}$⇒x = 10

Hence, required number of tractors is 10.

Answer: (b)

Time taken by pipe A = 3h

Due to leakage, time taken = 3.5 = ${35}/{10} = (- 7/2)$

Here LCM of 3 and $7/2$ is 21

Here 21 is full capacity of tank

then due to leakage in 1 h tank filled by A = (7–6)

= 1l.

leakage takes 21 h

Answer: (d)

Let the distance between each pole be x m.

Then, the distance up to 12th pole = 11 x m

Speed = ${11x}/{24}$ m/s

Time taken to covers the total distance of 19x

=${19x × 24}/{11x}$ = 41.45s

Answer: (d)

1 day work of A = $1/x$

1 day work of B = $1/{3x}$

Both A and B days work = $1/x + 1/{3x} = 4/{3x}$

Work of both A and B = $1/{12}$

⇒$4/{3x} = 1/{12}$⇒3x = 48

∴ x = 16

Answer: (d)

Cost of x metres = Rs. d Cost of 1 metre = Rs. $(d/x)$

Cost of y metres = Rs.$(d/x × y) = Rs.({yd}/x).$