Company : AppLabs

Website : http://www.applabs.com/

Website : http://www.applabs.com/

1. A and B can do a piece of work in 8 days B and C can do the same in 12 days, A and C do the same in 8 days. If A, B, C work together how many days it will complete?

A. 6 days

B. 4 days

C. 8 days

D. None of these

Explanation:

According to the question,

A+B in one day can complete 1/8 work

B+C in one day can complete 1/12 work

C+A in one day can complete 1/8 work

When you add left hand side, you get 2(A+B+C)

When you add right hand side, you get 1/8 + 1/12 + 1/8 = 1/3

=> 2(A+B+C) = 1/3

=> A + B + C = 1/6 (means A+B+C together do 1/6 work in a day.)

Therefore, A+B+C will complete work in 6 days.

2. The sum of the ages of Abhigail,Jennifer and Margaret was 52 three year ago. Four years ago, Jennifer who is a year younger than Margaret, was 3/2 times as old as Abhigail.the sum of ages of Jennifer and Margaret two year hence will be ?

A. 51

B. 47

C. 48

D. 49

Explanation:

Let the ages of Abhigail, Jennifer and Margaret be x, y and z.

According to the question, x + y + z = 52 before 3 year ago.

Four year ago, x + y + z = 49 ..............(1)

Condition given is 3/2(z) + 3/2(z) + 1 + z =x+y+z= 49

By solving this, we get z=12

Thus, x = 3/2(z) = 3/2 * (12) = 18.

=> y = x + 1 = 19

But this is for 4 years ago.

So, current ages are x=22 and y=23

After 2 yrs. it will be x=24 and y=26

So, x + y = 49.

3. The mean of 100 bags was found to be 30. What will be the correct mean if at the time of calculation two bags were wrongly taken as 32 and 12 instead of 23 and 11?

A. 29.9

B. 30.5

C. 34.9

D. 50.8

Explanation:

Since, Mean = Total-Sum/total no.

Total sum=30*100=3000.

Total no.=100

Now by mistake take = 32,12.... (32+12=44)

Subtract with total = 3000-44 = 2956

Now use correction = 2956+(23+11) =2990.

Hence, Mean = 2990/100 = 29.9.

4. A, B, C are running in the same direction around a circular track. The track is marked with numbers from 1 to 12, like the dial of a clock. The 12 numbers are uniformly spaced along the track. A overtakes B once at 5 and then the next time again at 9. A overtakes C once at 2 and then the next time again at 4. What is the ratio of B's speed to C's speed?

A. 7:4

B. 2:1

C. 3:2

D. 5:4

Explanation:

Given, Speed of A: B = 4:16 i.e. 1:4(from 5 to 9, B runs 4 and A runs (12+4)).

Speed of A:C = 2:14 i.e. 1:7(from 2 to 4, B runs 2 and C runs (12+2)).

Hence, B:C = 7:4.

5. Two articles were sold at Rs. 480 each. On one, he gains 20% and on the other, he loses 12%. How much does he gain or lose in the whole transaction?

A. 1.54%

B. 2.5%

C. 3.4%

D. 2.34%

Explanation:

For the 1st article,

cost price = (100*480)/ (100+20) =400

For the 2nd article,

Cost price = (100*480)/ (100-12) = 545.45

Total CP = 400 + 545.45 = 945.45.

Total SP = 480 + 480 = 960.

So profit = 960 - 945.45 = 14.55.

Hence, the required %gain = (14.55 * 100)/ 945.45 = 1.54%.

6. In how many ways 4 books were selected out of 10, so that two particular books always excluded?

A. 70

B. 65

C. 78

D. 80

Explanation:

According to the question,

Out of 10 books, 2 books always excluded, So, the no. of combinations will come for 8 books only.

Hence n = 8 & books to be selected r = 4.

Therefore, required no. Of Combinations = 8C4

=> n! / [ (r!) * (n-r)!]

=> 8! / (4! * 4!)

=> 70.

7. A sphere of 10.5 cm radius is melted and cast into a cuboid of maximum volume.The total surface area of such cuboid is approximately?

A. 1720

B. 1650

C. 1806

D. 1932

Answer: C.

8. If x-y + z = 19, y + z =20 and x-z=3. Find the value of x + 4y - 5z.

A. -13

B. 13

C. 12

D. 11

Explanation:

Given,

x - y + z = 19 -----(i)

y + z = 20 ------(ii)

x - z = 3 -------(iii)

Adding all, we get: 2x+z=42 and solving it with x-z=3, we get x=15, z=12 and y = 8.

=> x + 4y-5z

=> 15 + 32 - 60

=> 47 - 60

=> -13.

9. Among 200 employees, 100 employees play cricket, while 125 employees do not play hockey. 50 employees play both Cricket and Hockey. How many employees play at least one game?

A. 100

B. 125

C. 75

D. 150

Explanation:

The number of employees playing hockey= 200-125= 75.

And, number of employees playing cricket = 100

Those who play both games = 50.

Then, P(AUB) = P(A) + P(B)- P(AnB) = 100 + 75 - 50 = 125.

10. Given a quadratic equation, ax2+bx+c=0 If the ratio of the sum of the roots and the product of roots is 2:7, what can be possible values of b and c?

A. b=2, c=7

B. b=7, c=2

C. b=-2, c=-7

D. b=-2, c=7

Explanation:

The given ratio of sum of roots and product of roots are 2:7.

So, sum of the roots= -b/a

and, product of the roots= c/a

=> (-b/a)/(c/a) =2/7.

Therefore, b:c= -2:7

=> b=-2, c=7.

11. Series Completion:

15, 31, 63, 127, 255, ——

A. 513

B. 511

C. 517

D. 523

Answer: B.

12. Coding and Decoding:

If in a code language, COULD is written as BNTKC and MARGIN is written as LZQFHM, how will MOULDING be written in that code?

A. CHMFINTK

B. LNKTCHMF

C. LNTKCHMF

D. NITKHCMF

Explanation:

The given codes:

C O U L D

-1 -1 -1 -1 -1

B N T K C

So, MOULDING -> LNTKCHMF.

13. Blood Relation:

(i) In a family of six persons A, B, C, D, E and F, there are two married couples.

(ii) D is grandmother of A and mother of B.

(iii) C is wife of B and mother of F.

(iv) F is the granddaughter of E.

Who among the following is one of the couples?

A. CD

B. DE

C. EB

D. Cannot be determined

E. None of these

Answer: B.

14. Decision Making:

Study the following information carefully and then answer the questions given below it.

A big concern owning a number of factories propose to open a network of schools for the workers’ children and require Principals for them, with the following qualifications:

(A) The candidate must have a master degree with at least 2nd division and should be B.Ed. If, however, the candidate has passed M.A. in 3rd division but holds a master degree in Education (M.Ed.) the selection committee would refer his/her case to the Welfare Officer of the concern for recommendation.

(B) The candidate must have 10 years’ teaching experience and 3 years’ experience in administration. But if the candidate has 20 years’ teaching experience, his case would be referred to the General Manager of the concern. If, however, the candidate has only 7 years’ teaching experience, but his/her experience in administration is 5 years or more his case would be referred to the Vice-Chairman of the concern.

(C) The candidate must be in the age – group of 35 to 45 years on 1st Oct, 1995 and for women candidates, the upper limit is relaxable by 2 years. If a candidate holds a master degree in Education and has 15 years of experience in administration and is above 45 but below 50, his/her case would be referred to the Chairman of the concern.

(D) The candidate must submit all the information regarding his age, qualification and experience. If some information is missing, the candidate’s case would not be considered.

" 10th Dec, 1959 born Anjali Aneja holds M.Ed. degree, she passed M.A. with 3rd division, has teaching experience of 12 years and 4 years’ experience in administration as Principal. "

A. Selected

B. Referred to the Chairman

C. Referred to the Welfare Officer

D. Rejected

E. Data inadequate

Explanation:

The candidate, Anjali Aneja, does not fulfil Criteria C, and hence her candidature should be rejected.

15. Statement-Arguments:

Statement : Should all the infrastructural development projects in India be handed over to the private sector ?

Arguments:

A. No, the private sector entities are not equipped to handle such projects.

II.Yes, such projects are handled by private sector in the developed countries.

B. if only argument I is strong

C. if only argument II is strong

D. if either I or II is strong

E. if neither I or II are strong

F. if both I and II follow

Answer: D.

16. Statement Assumptions:

The Government has decided to levy 2 percent on the tax amount payable for funding drought relief programmes.

Assumptions:

(I) The Government does not have sufficient money to fund drought relief programmes.

(II) The amount collected by way of surcharge may be adequate to fund these drought relief programmes.

A. Either I or II is implicit

B. Only assumption II is implicit

C. Neither I nor II is implicit

D. Both I and II are implicit

Answer: D.

17. Statement-Conclusions:

Statements: To cultivate interest in reading, the school has made it compulsory from June this year for each student to read two books per week and submit a weekly report on the books.

Conclusions:

(I) Interest in reading can be created by force.

(II) Some students will eventually develop interest in reading.

A. Only conclusion II follows

B. Either I or II follows

C. Only conclusion I follows

D. Neither I nor II follows

Answer: A.

18. Course of Action:

Statement: There is an unprecedented increase in migration of villagers to urban areas as repeated crop failure has put them into precarious financial situation.

Courses of Action:

(I) The villagers should be provided with alternate source of income in their villages which will make them stay put.

(II) The migrated villagers should be provided with jobs in the urban areas to help them survive.

A. Either I or II follows

B. Only II follows

C. Neither I nor II follows

D. Only I follows

Answer: D.

19. The sales of conditioners in 1995 was by what percent less than the sales of shampoos in 1995? (rounded off to nearest integer)

A. 57%

B. 36%

C. 29%

D. 25%

Explanation:

Required percentage = [ (7.88 - 5.01)/ 7.88 x 100] %

= 36.42% = 36%(approx.)

20. My house is ________ the third crossroads after the bridge.

A. on

B. in

C. over

D. at

Answer: D.

21. Synonym:

RECUPERATE:

A. Rehabilitate

B. Recover

C. Reimburse

D. Relocate

Answer: B.

22. Antonym:

Frugal:

A. Extravagant

B. Rich

C. Miserable

D. Happy

Answer:

23. Paragraph Completion:

Let us understand the definition of metaphysics, a purely speculative science, which occupies a completely isolated position and is entirely independent of the teachings of experience. It deals with mere conceptions not, like mathematics, with conceptions applied to intuition and in it, reason is the pupil of itself alone. It is the oldest of the sciences. _____________________.

A. And it would struggle to survive without the architecture of mathematical support that it draws its strength from

B. Yet it continued to baffle mankind because of its abstractions

C. But it has never had and never will have the good fortune to attain to the sure scientific method

D. And it would still survive, even if all the rest were swallowed up in the abyss of an all-destroying barbarism

Answer: D.

24. Sentence Completion:

Some potatoes of the Andes contain ____________ known as glycol-alkaloids, poisons that induce stomach pains, vomiting and even death.

A. nutrients

B. secretions

C. inversions

D. toxins

E. preservatives

Answer: D.

25. Error Correction:

The helium-filled balloon rose in the air.

A. rose in the air.

B. was rising in the air.

C. was in the air.

D. rose into the air.

E. would rise in the air.

Answer: D.

26. Preposition:

He was struck__________lightning.

A. by

B. with

C. at

D. from

Answer: A.

27. Article:

___________ Indus river is a major river in Asia which flows through Pakistan.

A. a

B. an

C. the

Answer: C.

Courage is not only the basis of virtue; it is its expression. faith, hope, charity and all the rest don't become virtues until it takes courage to exercise them. There are roughly two types of courage. the first an emotional state which urges a man to risk injury or death, is physical courage. The second, more reasoning attitude which enables him to take coolly his career, happiness, his whole future or his judgement of what he thinks either right or worthwhile, is moral courage.

I have known many men, who had marked physical courage, but lacked moral courage. Some of them were in high places, but they failed to be great in themselves because they lacked moral courage. On the other hand, I have seen men who undoubtedly possessed moral courage but were very cautious about taking physical risks. But I have never met a man with moral courage who couldn't, when it was really necessary, face a situation boldly.

28. Physical courage is an expression of

A. emotions

B. deliberation

C. uncertainty

D. defiance

Answer: A.

29. A man with moral courage can

A. defy his enemies

B. overcome all difficulties

C. face a situation boldly

D. be very pragmatic

Answer: C.