- A metro travelling at 72 km/hr crosses another metro of length equivalent to five-sixth of its own length travelling in opposite direction at 60 km/hr in 9 seconds. Find the length of the second metro?
110120130140150Option E

Let the length of the first metro be x,

So, the length of second metro = (5/6) * x = 5x/6

According to the question,

[x + (5x/6)] / [(72 + 60) * (5/18)] = 9 [11x/6] / [132 * (5/18)] = 9

x = 180

Length of second metro = (5x/6) = (5/6) * 180 = 150 m - A bag contains 4 red pop sticks, 5 green popsticks and 6 pink pop sticks. If 3 sticks are taken at randomly, then find the probability that 2 sticks are Pink?
11/1227/9125/6512/9713/99Option B

Total probability = 15C3

Required probability = 6C2 and 9C1

The probability that 2 are green,

= > [6C2 and 9C1] / 15C3¬

= > [15 * 9] / 455

= > 27/91 - The perimeter of the room in rectangular shape is 42 meter. The length of the room is twice the breadth of the room. Find the area of the room?
9899979596Option A

Perimeter of the room= 2 * (l + b) = 42

l + b = 21

l = 2b

According to the question,

2b + b = 21

3b = 21

b = 7 m

l = 2b = 14 m

Area of the room = lb = 14 * 7 = 98 Sq m - P, Q and R investing Rs. 18000, Rs. 24000 and Rs. 30000 respectively. After 4 months, P withdraws one-third of the amount and Q invested Rs. 16000 more. And after 3 months, R withdraw three-fifth of the amount. Find the total profit at the end of the month, if the share of Q is Rs. 52000?
Rs. 106733Rs. 106350Rs. 506750Rs. 106000Rs. 106750Option E

[18000 * 4 + 18000 * (2/3) * 8] : [24000 * 4 + 40000 * 8] : [30000 * 7 + 30000 * (2/5) * 5]= > [72000 + 96000] : [96000 + 320000] : [210000 + 60000]= > 168000 : 416000 : 270000

= > 84 : 208 : 135

Q’s share = 208’s = 52000

1’s = 250

Total profit = 427’s = Rs. 106750 - Man can do a work in 15 days, Woman can do it in 12 days but Boy can do (3/4)th of the work in 18 days. Find the time taken by all together to complete the work?
1 1/234 4/235 5/236 4/231 4/21Option

man’s one day work = 1/15

Woman’s one day work = 1/12

Boy can do the whole work in, = 18 * (4/3) = 24 days

Boy’s one day work = 1/24

(Three)’s one day work = (1/15) + (1/12) + (1/24)

= > (8 + 10 + 5)/120

= > 23/120

They can complete the whole work in, = 120/23 = 5 5/23 days - Person 1 is thrice as good a workman as person 2 and so takes 30 days less than person 2 for doing a job. Calculate the time in which they can do the job together is.
1212.51111.2513Option D

Let person 1 can finish the whole work in x days.

Person 2 can finish the same work in 3x days.

then 3x-x= 2x= 30

x= 15 days

Person 1 can finish the work in 15 days.

Person 2 can finish in 45 days.

A+B work = 1/15 + 1/45 = 4/45

A+B can finish the work in 45/4 = 11 ¼ days - 32 men and 24 women together can complete a work in 16 days. 40 men can complete the same work in 32 days.How many days will 32 women can complete the same work ?
1020304050Option B

(32 M + 24 W)* 16= 40 M * 32

= 40M * 16 * 2

32M + 24W = 80M

24W =48M

1W=2M——-1

32W=64M—–2

Now 40 men complete the work in 32 days.

So 64 men complete the same work in 32* 40 / 64 = 20 days.

Hence 32 women complete the same work in 20 days. - Four examiners can examine a certain number of answer papers in 10 days by working for 5 a day. for how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?
1015202530Option A

M1 * D1* H1 / W1 = M2 * D2* H2 / W2

M1 = 4 D1= 10 H1= 5

W1 = 1 M2 =2 D2 = 20

H2 = ? W2= 2

4*10 *5/1 = 2* 20 *H2/2

=>H2= 10H - 2 boys and 3 girls together or 4 boys can complete a piece of work in 20 days. 3 boys and 3 girls will complete the same work in how many days?
1516171819Option B

2 boys + 3 girls= 4 boys

=>2 boys = 3 girls

=>3 boys + 3 girls = 5 boys ( 3 girls= 2 boys)

M1D1= M2D2

=>4* 20 = 5 *D2

D2 = 16 days. - Varun gets Rs. 700 for every day that the works. If he runs Rs.19600 in a month of 62 days, for how many days did he work?
2325272840Option D

Varun gets Rs.700 for 1 day of work

Amount received by varun for 62 days.

Number of days Varun worked in a month = 19600/ 700 =28 days.