- 1
- 2
- 3
- …
- 6
- Next Page »

A Learning Portal from Recruitment India

A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = √2−1)

A.

1−2√2: 1

B.

1+2√2 : 1

C.

3−2√2: 1

D.

3+2√2: 1

Answer with explanation

Answer: Option DExplanation

Let ED be the taller tower and AB be the shorter tower.

Let C be the point of observation

Given that ∠ ACB = 22.5° and ∠ DCE = 67.5°

Given that C is the midpoint of BD

Hence, BC = CD

From the right triangle ABC,

.

Workspace

Vijay can complete a work in 20 days, what percentage of the work would be completed in 6 days?

A.

30%

B.

40%

C.

50%

D.

60%

Answer with explanation

Answer: Option AExplanation

**Given**Vijay can complete a work in 20 days

percentage of work would be completed in 6 days = ( 6 / 20 ) * 100=30%

Workspace

A.

24 days

B.

16 days

C.

12 days

D.

8 days

Answer with explanation

Answer: Option DExplanation

A+B 1 day work = 1/8

B+C 1 day work = 1/12

A+B+C 1 day work = 1/6

We can get A work by (A+B+C)-(B+C)

And C by (A+B+C)-(A+B)

So A 1-day work =

16−112=11216−112=112

Similarly C 1-day work =

16−18=4−324=12416−18=4−324=124

So A and C 1 day work =

112+124=324=18112+124=324=18

So A and C can together do this work in 8 days

Workspace

A.

18

B.

15

C.

22

D.

Data inadequate

Answer with explanation

Answer: Option BExplanation

One man’s one day’s work = 1/48

One woman’s one day’s work = 1/60

6 men’s 2 day’s work = ((6/48) x 2) = 1/4

Remaining work = 3/4

Now, 1/60 work s done in 1 day by 1 woman.

Thus, 3/4 work will be done in 3 days by (60 x (3/4) x (1/3)) = 15 women.

Workspace

Rajesh alone can do a piece of work in 6 days and Ramesh alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of Suresh, they completed the work in 3 days. How much is to be paid to Suresh?

A.

400

B.

700

C.

500

D.

275

Answer with explanation

Answer: Option AExplanation

Workspace

Mr. A and Mr. B can do a piece of work in 8 and 12 days respectively. If both of them work together, in how many days the work will get completed ?

A.

B.

C.

D.

Answer with explanation

Answer: Option CExplanation

A ‘s 1-day work = 1/8 B’s 1-day work = 1/12

When both work together, 1 day’s work = (1/8) + (1/12) = (3+2)/24 = 5/24

Number of days to complete the work will be 24/5 days

Workspace

A.

8

B.

7

C.

6

D.

5

Answer with explanation

Answer: Option CExplanation

Firstly we will find 1-day work of both A and B, then by adding we can get collective days for them,

So,

A’s 1-day work = 1/10

B’s 1-day work = 1/15

(A+B)’s 1 day work =

(110+115)=(3+230)=16

Workspace

How many times will minute hand and hour hand opposite in one day?

A.

21

B.

23

C.

22

D.

24

Answer with explanation

Answer: Option CExplanation

Eleven times in 12 hrs. The hands will be directly opposite each other at the following times:

12:32 and 8/11 of a minute

1:38 and 2/11 of a minute

2:43 and 7/11 of a minute

3:49 and 1/11 of a minute

4:54 and 6/11 of a minute

6:00

7:05 and 5/11 of a minute

8:10 and 10/11 of a minute

9:16 and 4/11 of a minute

10:21 and 9/11 of a minute

11:27 and 3/11 of a minute.

**Therefore, the hands of the clock will be opposite to each other 22 times.**

Workspace

A.

50

B.

10

C.

40

D.

20

Answer with explanation

Answer: Option BExplanation

Let the number of workers be x.

Now, Using work equivalence method,

X + (X-1) + (X-2)+ . . . . + 1 = X *55% of X

=> [X * (X+1)] / 2 = X * (55X/100) [because, Series is in AP. Sum of AP = {No. of terms (first term+ last term)/2} ]

Therefore, X = 10

Workspace

Three men, four women, and six children can complete a work in 9 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?

A.

7

B.

8

C.

9

D.

6

Answer with explanation

Answer: Option AExplanation

OR

A woman does double the work a man does i.e., W = 2M

the child does half the work a man does i.e., C = M/2

Thus, C = M/2

==> C = [W/2]/2 i.e., W = 2M ==> M = W/2

==> C = W/4

Now, three men, four women, and six children

= 3W/2 + 4W + 6W/4

= 3W/2 + 4W + 3W/2

= (3W + 8W + 3W)/2 (L.C.M)

= 14W/2

= 7W

Hence, 7 women complete the work in 9 days.

Workspace

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A.

10 days

B.

14 days

C.

11 days

D.

9 days

Answer with explanation

Answer: Option AExplanation

For 30 days he receives

30 x 25 = 750

Actually he gets 425

Therefore, Fine is 750 – 425 = 325

=> No of days absent = 325/(25+7.50)= 10

Workspace

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?

A.

24 $

B.

22 $

C.

16 $

D.

14 $

Answer with explanation

Answer: Option CExplanation

Workspace

- 1
- 2
- 3
- …
- 6
- Next Page »

Correct Answer 👍

Wrong Answer 👎

RecruitmentIndia.in is Blog where we will update the information by exploring various online and offline sources of information. Our aim is to provide the latest Education related news as fast as possible to the students for free of cost.

Exams.Recruitmentindia.in is a Preparation portal where you can prepare all the competitive related questions like Aptitude, Reasoning, English Questions and Current affairs for free of cost

You can Contact us at :