1. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? A. 1/3 B. 1/4 C. 1/5 D. 1/7 Answer: C

Directions (1-5): What should come in place of the question mark (?) in the following question?
1. 48% of 4800 + 24% of 1260 =? A. 2606.66 B. 2556.65 C. 2566.56 D. 2286 E. None of these Answer: E
2. [latex](9.979)^3 – (23.99)^2 + (1.99)^5[/latex] = ? A. 350 B. 490 C. 390 D. 420 E. 450 Answer: E
3. 3 1/2 + 4 1/4 + 9 3/4 + 6 7/8 = ? + 5 3/4 × 2 1/4 A. 11 7/16 B. 3 1/2 C. 4 3/4 D. 7 4/15 E. None of these Answer: A
4. 76.36 + 2984.317 + 39465.11 =? A. 42525.787 B. 42135.364 C. 68395.387 D. 91246.023 E. None of these Answer: A
5. [latex](216)^{1.3} × (36)^{1.8} ÷ (6)^{0.5} = (6)^?[/latex] A. 5 B. 4 C. 7 D. 3 E. None of these Answer: C

1. Which of the following equations represent y as a function of x? A. [latex]x^2 + y[/latex] = 5 B. [latex]x^2 - 7x + y^2[/latex] = 0 C. [latex]x^2 - y^3 - 9[/latex] = 0 D. |x| - |y| = 0 Answer: C
2. Which set of ordered pairs represents a function? A. A = {(a, 3), (b, 5), (c, 9), (d, 9)} B. B = {(a, -3), (b, 6), (c, 1), (b, 9)} C. C = {(a, 3), (b, 3), (c, 3), (d, 3)} D. D = {(a, 5), (a, -9), (a, 0), (a, 12)} Answer: C
3. Find the domain of each function. A. f(x) = 1/(x - 2) B. g(x) = √(x + 5) C. h(x) = 3/√(x - 4) D. j(x) = 1/[(x + 1)(x -7)] Answer: B
4. Find the zeros of each function. A. f(x) = 3 - 5/x B. g(x) = √(x - 1) C. h(x) = |x - 9| - 4 D. i(x) = |x - 9| + 7 Answer: B

Directions (1-5): Study the following table and answer the questions based on it. 1. What is the average amount of interest per year which the company had to pay during this period? A. Rs.32.43 lakhs B. Rs.33.72 lakhs C. Rs.34.18 lakhs D. Rs.36.66 lakhs Answer: D
2. The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period? A. 0.1% B. 0.5% C. 1% D. 1.25% Answer: C
3. Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002? A. 62% B. 66% C. 69% D. 71% Answer: C
4. The total expenditure of the company over these items during the year 2000 is? A. Rs.544.44 lakhs B. Rs.501.11 lakhs C. Rs.446.46 lakhs D. Rs.478.87 lakhs Answer: A
5. The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately? A. 4:7 B. 10:13 C. 15:18 D. 5:8 Answer: B

1. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? A. 1/2 B. 2/5 C. 8/15 D. 9/20 Answer: D
2. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? A. 10/21 B. 11/21 C. 2/7 D. 5/7 Answer: A
3. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? A. 1/3 B. 3/4 C. 7/19 D. 8/21 E. 9/21 Answer: A

1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? A. 6.25 B. 6.5 C. 6.75 D. 7 Answer: A

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7 Answer: C

1. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? A. 564 B. 645 C. 735 D. 756 E. None of these Answer: D

1. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? A. 120 [latex]cm^2[/latex] B. 130 [latex]cm^2[/latex] C. 312 [latex]cm^2[/latex] D. 315 [latex]cm^2[/latex] E. None of these Answer: A

1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? A. 3.6 B. 7.2 C. 8.4 D. 10 Answer: B
2. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: A. 50 km B. 56 km C. 70 km D. 80 km Answer: A

1. A sum of money at simple interest amounts to Rs.815 in 3 years and to Rs.854 in 4 years. The sum is: A. Rs.650 B. Rs.690 C. Rs.698 D. Rs.700 Answer: C
2. Mr.Thomas invested an amount of Rs.13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs.3508, what was the amount invested in Scheme B? A. Rs.6400 B. Rs.6500 C. Rs.7200 D. Rs.7500 E. None of these Answer: A

1. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is: A. 1/4 B. 1/10 C. 7/15 D. 8/15 Answer: D
2. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? A. 12 days B. 15 days C. 16 days D. 18 days Answer: B

1. If one-third of one-fourth of a number is 15, then three-tenth of that number is: A. 35 B. 36 C. 45 D. 54 Answer: D
2. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: A. 9 B. 11 C. 13 D. 15 Answer: D

Directions (1-5): In 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. Read both the statements and Give answer (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question (D) If the data given in both statements I and II together are not sufficient to answer the question and (E) If the data in both statements I and II together are necessary to answer the question.
1. Question: In which year was Rahul born? Statements: Rahul at present is 25 years younger to his mother. Rahul's brother, who was born in 1964, is 35 years younger to his mother. A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient Answer: E
2. Question: What will be the total weight of 10 poles, each of the same weight? Statements: One-fourth of the weight of each pole is 5 kg. The total weight of three poles is 20 kilograms more than the total weight of two poles. A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient Answer: C
3. Question: How many children does M have? Statements: H is the only daughter of X who is wife of M. K and J are brothers of M. A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient Answer: D
4. Question: How much was the total sale of the company? Statements: The company sold 8000 units of product A each costing Rs. 25. This company has no other product line. A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient Answer: E
5. Question: The last Sunday of March, 2006 fell on which date? Statements: The first Sunday of that month fell on 5th. The last day of that month was Friday. A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient Answer: C

1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: A. 15 B. 16 C. 18 D. 25 Answer: B
2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? A. 30% B. 70% C. 100% D. 250% Answer: B