### Set 1

Find Solutions at the end of every section
Mark AIf the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.Mark BIf the question can be answered by using either statement alone.Mark CIf the question can be answered by using both statements together, but cannot be answered by using the either statement alone.Mark DIf the question cannot be answered even by using both the statements together.

1.What is the number of type-2 widgets produced, if total number of widgets produced is 20,000 ?(I) If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same.(II) The ratio in which type-1 and type-2 widgets are produced is 2 : 1.(a) A(b) B(c) C(d) D

2.How old is Sachin in 1997 ?(I) Sachin is 11 yr younger than Anil whose age will be a prime number in 1998.(II) Anil’s age was a prime number is 1996.(a) A(b) B(c) C (d) D

3.What is the total worth of Lakhriram’s assets ?(I) A compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs. 1500 this year.(II) The interest is compounded once every four months.(a) A(b) B(c) C(d) D

4.How many different triangles can be formed ?(I) There are 16 co-planer straight lines.(II) No two lines are parallel.(a) A(b) B(c) C(d) D

5.What is the selling price of the article ?(I) The profit on sales is 20%.(II) The profit on each unit is 25% and the cost price is Rs 250.(a) A(b) B(c) C(d) D

6.What is the cost price of the article ?(I) After selling the article, a loss of 25% on cost price is incurred.(II) The selling price is three-fourths of the cost price.(a) A(b) B(c) C(d) D

7.If p and q are the roots of the equation (ax2 + bx + c=0) then what is the value of ( p2 + q2 ) ?(I) p + q = -b/a(II) 2pq = c/a(a) A(b) B(c) C(d) D

8.If a, b and c are integers, is (a – b + c) > (a + b – c) ?(I) b is negative.(II) c is positive.(a) A(b) B(c) C(d) D

9.What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together ? (The containers are of equal volume) Assume container volume=volume of liquids(I) The ratio of liquid A to liquid B in the first and second vessels are 3 : 5, 2 : 3 respectively.(II) The ratio of liquid A to liquid B in vessel 3 is 4 : 3.(a) A(b) B(c) C(d) D

10A tractor traveled a distance of 5 M. What is the radius of the rear wheel ?(I) The front wheels rotates ‘N’ times more than the rear wheel over this distance.(II)The circumference of the rear wheel is ‘t’ times that of the front wheel.(a) A(b) B(c) C(d) D

**Answer**

1.B

2.D3.C4.D5.A6.D7.C8.C9.D10.D

### Set 2

Find Solutions at the end of every section

Mark A

If the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone.

Mark BIf the question can be answered by using either statement alone.

Mark C

If the question can be answered by using both statements together, but cannot be answered by using the either statement alone.

Mark D

If the question cannot be answered even by using both the statements together.

1.What is the price of mangoes per kg ?

(I) 10 kg of mangoes and two dozen of oranges cost Rs 252.

(II) 2 Kg of mangoes could be bought in exchange for one dozen oranges.

(a) A

(b) B

(c) C

(d) D

2.What are the ages of three brothers ?

(I) Product of their ages is 21.

(II) The sum of their ages is not divisible by 3.

(a) A

(b) B

(c) C

(d) D

3.Is n odd ?

(I) n is divisible by 3, 5, 7 and 9.

(II) 0 < n < 400

(a) A

(b) B

(c) C

(d) D

4.Two types of widget, namely type A and B are produced on a machine. The number of machine hours available per week is 80. How many widgets of type A must be produced ?

(I) One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machines hours.

(II) The widget dealer wants to supply at least 10 units of type A widget per week and he would not accept less than 15 units of type B widget.

(a) A

(b) B

(c) C

(d) B

5.What are the values of 3 integers a, b and c ?

(I) ab=8

(II) bc=9

(a) A

(b) B

(c) C

(d) D

6.Given that, X and Y are non-negative .What is the Value of X ?

(I) 2X + 2Y <= 40

(II) X -2Y >= 20

(a) A

(b) B

(c) C

(d) D

7.10 boys went to a neighboring orchard. Each boy stole a few mangoes.What is the total number of mangoes they stole ?

(I) The first boy stole 4 mangoes, the fourth boy stole 16 mangoes, eighth boy stole 32 mangoes and the tenth boy stole 40 mangoes.

(II) The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes.

(a) A

(b) B

(c) C

(d) D

8.What are the values of m and n ?

(I) n is an even integer, m is an odd integer and m is greater than n.

(II) Product of m and n is 30.

(a) A

(b) B

(c) C

(d) D

9.What is the value of integer n ?

(I) n(n+1) = 6

(II) 22n = 16

(a) A

(b) B

(c) C

(d) D

10If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would be profits change ?

(I) The cost price remains constant.

(II) The cost price increased by 10%.

(a) A

(b) B

(c) C

(d) D

**Answer**

1.C

2.D

3.C

4.C

5.D

6.D

7.D

8.C

9.A

10.A

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