Direction (Q. 1-5): Informations I and II are given about the problem. What is the age of the teacher ?
I The strength of the class, inclusive of the teacher, is 26.
II The ayerage age of the class, inclusive of the teacher's age, is 15 years.

A. if I alone is sufficient to answer the question.

B. if II alone is sufficient to answer the question.

C. if both I & II are necessary to answer the question.

D. if both I & II even together are not is sufficient to answer the question, but some more information is needed to solve the question.

Answer & Explanation

Answer : Option
D

Explanation :

From I & II, we find the total age of the class = 26 x 15 = 390 years. We can't find the age of the teacher from these two statements.

What is the compound interest earned by Suresh on Rs 3600 ?
I The amount is given for two years on interest.
II The amount becomes eight times in three years.

A. if I alone is sufficient to answer the question.

B. if II alone is sufficient to answer the question.

C. if both I & II are necessary to answer the question.

D. if either I or II alone is sufficient to answer the question.

Answer & Explanation

Answer : Option
C

Explanation :

From statement I, we get time, ie 2 years. for which compound interest is to be calculated

From ll.

8P = P [(1 + 8/100)^{3}]

= 8 = (1 + 2/100)^{3}

= 2^{3} = 1 + r/100 = 4 = 100%

statement I & II both are necessary to calculate the compound interest on the given sum.

Find the price of commodities A and B.
I 3 kg of A and 4 kg of B cost Rs 80.
II If the price of A rose by 25% and that of B fell by 20%, the above cost would become Rs 91.

A. if I alone is sufficient to answer the question.

B. if II alone is sufficient to answer the question.

C. if both I & II are necessary to answer the question.

D. if either I or II alone is sufficient to answer the question.

Answer & Explanation

Answer : Option
C

Explanation :

From statement I we get

3A + 4B = 80 ......(i)

A - cfost of commodity A in rupees

B - cost of commodity B in rupees

3A x 125/100 + 4B x 80/100 = 91

= 15A/4 + 16B/5 = 91

75A + 64B = 1820 .......(ii)

Solving these two equations, by equating A in both the equations, we find A = Rs. 20,

B = Rs. 5

Both the statements are required to solve the question.

What will be the ratio of the perimeters of a square and a rectangle ?
I The hypotenuse of the square is b metre.
II The area of the rectangle is two-thirds of the area of a circle of radius b/3 metre.

A. if I alone is sufficient to answer the question.

B. if II alone is sufficient to answer the question.

C. if both I & II are necessary to answer the question.

D. if both I & II even together are not is sufficient to answer the question, but some more information is needed to solve the question.

Answer & Explanation

Answer : Option
D

Explanation :

From Statement I. side of the square = b/2

Therefore, perimeter of the square = 4 b/2 = 22b

From statement II, area of the circle

= PI(b/3)2 = IB

I - length of recentagle

b - breadth of rectangle

We can't calculate 2(1 + b) as required from the given value of Ib

In how many days can Gautam alone complete a work ?
I Gautam works at twice the pace of Mukund and at one-fourth the pace of Nikunj.
II All of them can finish the work in 18 days.

A. if I alone is sufficient to answer the question.

B. if II alone is sufficient to answer the question.

C. if both I & II are necessary to answer the question.

D. if either I or II alone is sufficient to answer the question.

Answer & Explanation

Answer : Option
C

Explanation :

Let Gautam complete the work in x days.

From statement I, Mukund completes the some work in 2x days and Nikunj completes it

x/4 days,

Also, from statement II, we get they complete

1/18 work in 1 day.

= 1/x + 1/2x + 4/x = 1/18

= 11/2x = 1/18 = x = 99 days.

Hence both statements are needed to solve the question.

Direction (Q. 6-10): Answer the following questions on the basis of the information given below. The table shows the wages of 6 labourers in six months.

Labourer Month

A

B

C

D

E

F

I

05

12

15

10

6..5

18

II

08

10

13

10.5

8.5

18.5

III

7.5

11

12.5

2.5

12.5

19

IV

12.5

09

13.5

3.5

13.5

19.5

V

13.5

08

14.5

4.5

14

20

VI

14

07

16

8.5

16.5

20.5

Which labourer(s) got a gradual increase in wage over the months ?

By interview the table we can conclusion that there is no such month in which there is an increase in the wages all the labourers over their previous month's wages.

By viewing the table, we can conclude that in month III total wages of all the labourers has decreased w.r.t. their wages of previous months, hence the average wages will also decreases in the same month.

We count the wages of the labourers, by observing that the least number of doubledigit wages lies in which column. It is for D. Also, we can do this by calculating their total wages.