**Directions (1-4): The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. **

(a) Statement ‘A’ alone is sufficient to answer the question, but statement ‘B’ alone is not sufficient to answer the questions.

(b) Statement ‘B’ alone is sufficient to answer the question, but statement ‘A’ alone is not sufficient to answer the question.

(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

(d) Either statement ‘A’ or statement ‘B’ by itself is sufficient to answer the question.

(e) Statements ‘A’ and ‘B’ taken together are not sufficient to answer the question.

**Q2. Is Sakshi earning profit or loss after selling a pen? **

(A) Ratio of cost price of pen to mark price of pen is 1 : 3 and she gave Rs. 90 discount at the time of selling.

(B) If markup price of pen is decreased by 50% and Sakshi gave 50% discount on new mark price, then she losses Rs. 45.

**Q3. Find the curved surface area of cylinder? [Radius of cylinder = 8 cm] **

(A) Ratio between curved surface area of cylinder to lateral surface area of cone is 6 : 5 while radius and height of cylinder is same as radius and height of cone respectively.

(B) Total surface area of cylinder is 133 ⅓% more than curved surface area of cylinder.

**Q4. Find the value of ‘R’?**

(A) A man invested Rs. 2750 in the ratio of 5 : 6 at the rate of R% and 5% for four years on simple interest and get interest in the ratio of 5 : 4 respectively.

(B) Amir invested Rs. 500 & Rs. 800 at the rate of R% & (R + 2.5)% for two years respectively on simple interest. Amir get total Rs. 170 as interest.

**Directions (5-9): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question. **

**Q5. How many times does the efficiency of a man exceed that of a woman? **

A. 3 women and 2 men working together complete a work in 6 days.

B. 3 men do the same work 5 days sooner than 9 women.

C. Ratio of the efficiencies of 8 women and 4 men is 1 : 3.

(a) Any two of the three together

(b) All the three together

(c) Only C

(d) Only A and B together

(e) Either C alone or A and B together.

**Q6. Find out the length of train A. **

A. Train A crosses another train B moving in same direction in 72 sec.

B. Speed of train A is 25km/h more than that of train B.

C. Length of train B is 20% less than that of train A.

(a) All the three together are not sufficient

(b) Only A and C together

(c) All the three together

(d) Only A and B together

(e) Only B and C together

**Q7. Find lateral surface area of a cylinder. **

A. Volume of a cone with base same as that of the cylinder and height 30 cm is equal to volume of the cylinder.

B. Circumference of base of the cylinder is 132 cm.

C. Volume of the cylinder is 13860 cm³.

(a) Only A and B together

(b) Only A and C together

(c) All the three together

(d) Any two of the three together

(e) Either A and B together or A and C together

**Q8. There are some red, blue and green balls in bag. What is the probability of getting a red ball if one ball is selected at random? **

A. Ratio of number of green and blue balls in the bag is 4 : 3.

B. If we add 2 more red balls in the bag, the numbers of red balls will be equal to the number of green balls.

C. Sum of number of green and blue balls is twice the number of red balls in the bag.

(a) C alone

(b) Either C alone or A and B together

(c) Any two of the three together

(d) Only A and B together

(e) All the three together

**Directions (10): The following questions are accompanied by three statements (1), (2) and (3). You have to determine which statements(s) is/are sufficient/necessary to answer the questions from the given options.**

**Q10. What is the distance between Rahul’s house and school ? **

(1) With the speed of 60 km/hr, Rahul reaches his school 10 min early.

(2) Rahul makes a round trip (i.e. house to school & back home) in 2 hrs. at the average speed of 50 km/hr.

(3) With the speed of 40 km/hr, Rahul reaches his school 15 min late.

(a) Either statement 1 alone or 2 alone is sufficient to answer the question.

(b) Either statement 2 alone or 3 alone is sufficient to answer the question.

(c) Either statement 1 and 3 together or 2 alone is sufficient to answer the question.

(d) Any of two statements are sufficient to answer the question.

(e) Any one of them is sufficient to answer the question.

**Solutions**