**Direction (1-5): In each of the following questions followed by two statements numbered I and II are given. You have to read both the statements.**

(a) if the data in statement I alone are sufficient to answer the question while the data in the statement II alone are not sufficient to answer the questions.

(b) if the data in statement II alone are sufficient to answer the question while the data in the statement I alone are not sufficient to answer the questions

(c) if the data in statement I alone or in statement II alone are sufficient to answer the questions

(d) if the data in both the statements I and II together are not sufficient to answer the questions

(e) if the data in both the statements I and II together are necessary to answer the questions

**1. what is the two digit number?**

(i) The difference between the two digits of the number is 0.

(ii) The sum of the two digits of the number is 18.

**2. What is Supriya’s present age ?**

(i) Supriya is three years older than priya

(ii) The ratio between priya and Reshma’s age is 3 :4 respectively.

**3. What is the speed of the boat in still water?**

(i) The boat travels at the speed of 4 km/hr upstream

(ii) The boat travels at the speed f 6 km/ hr downstream.

**4. How many marks did Nigam get in Biology?**

(i) Nigam got 42 marks in English which were half the marks he got in biology

(ii) Nigam’s marks in Biology were 14 per cent of the total marks he got in all the subjects together

**5. What is the rate of interest p.c.p.a.?**

(i) An amount of Rs. 6200 fetches simple interest of Rs. 1736 in two years.

(ii) An amount of Rs. 4500 fetches compound interest of Rs. 1348.2 in two years.

**Directions (6-10): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.**

(a) if the data in statement I alone are sufficient to answer the question while the data in the statement II alone are not sufficient to answer the questions.

(b) if the data in statement II alone are sufficient to answer the question while the data in the statement I alone are not sufficient to answer the questions

(c) if the data in statement I alone or in statement II alone are sufficient to answer the questions

(d) if the data in both the statements I and II together are not sufficient to answer the questions

(e) if the data in both the statements I and II together are necessary to answer the questions

**6. What is the perimeter of a semicircle?**

(i) The radius of the semicircle is equal to half the side of a square.

(ii) The area of the square is 196 sq. cm.

**7. What is the exact average of n, 35, 39, 42, p and w?**

(i) n is six more than w.

(ii) W is four less than P.

**8. What was the percent profit / loss made / incurred by selling an article for Rs. 24000 ?**

(i) The ratio between the selling price and the cost price of the article is 5 : 3 respectively.

(ii) The difference between the cost price and the selling price is Rs. 9600

**9. What will be the difference between two two-digit number?**

(i) The square of the first number is 9 times the second number.

(ii) The ratio between the first number and the second number is 3 : 4 respectively

**10. What is the ratio between two numbers x and y?**

(i) 40 % of x is 20 % of 50

(ii) 30 % y is 25 % of 2.

**Explanation**

**1.**From statement II,

X + y = 18

It is possible only when x = y = 9

**2.**Data are inadequate

**3.**Form both statements, Speed of boat in still water =

**4.**From statement I

Nigam’s marks in Biology= 2 × 42 = 84

**5.**From Statement I,

Rate =

=

From statement II,

By using C.I

We get the required rate of interest.

**6.**From statements I and II, side of the square= √196 = 14 cm.

Circumference of the semi circle = (π + 2) × radius = 7 (π + 2) cm.

**7.**Data are inadequate.

**8.**From statement I, Cost price of the article =

Gain = Rs. (24000 – 14400)= Rs. 9600

Gain per cent =

From statement II,

Cost price = Rs. (24000 – 9600) = Rs. 14400

Hence, profit per cent can be determined.

**9.**From statement I,

X

^{2}= 9y

Required answer is not possible .

From statement II, 4x – 3x = ?

**10.**From statement I,

X ×

X=25

From statement II

Y ×

Y = 60

X : Y = 25 : 60 = 5 : 12

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