Q1.  Hari Lal and Hari Prasad have equal amounts. Hari Lal invested all his amount at 10% compounded annually for 2 years and Hari Prasad invested ¼ at 10% compound interest (annually) and rest at r% per annum at simple interest for the same 2 years’ period. The amount received by both at the end of 2 years is same. What is the value of r?

(1)  10.5%  (2) 16%  (3) 13% (4) 14% (5) None

Q2. A and B enter into a partnership. A puts in the whole capital of Rs. 45,000 on the condition that the profit will be equally divided after which B will pay A interest on half the capital at 10 percent p.a. and receive Rs. 60 per month from A for carrying on the concern. What is the yearly profit, if B’s income is half of A’s income?

(1) 9280  (2) 9180(3) 9380(4) 9480(5) None

Q3.  The average age of x persons is 60 years. If two persons of 52 years and 68 years leave the group and two new persons of y years and 72 years join the group, then the average age of the group increases by 1 year. If x is a perfect square and 54find the value of y.

(1) 59      (2) 55    (3) 57     (4) 61             (5) None

Each of the following questions consists of 3 statements A, B, and C. You have to determine that which of the following statement/statements are necessary to answer the questions: (Q4 – Q6)

Q4. How many marks did Arif obtain in Physics?
A. The average marks obtained by Arif in History, English, and Physics is 70.
B. The difference between the marks obtained by Arif in English and that in History is 10.
C. The total marks obtained by Arif in Biology and Physics is 120.

(1) None
(2) Only C
(3) Either B or C
(4) Any of them
(5) Question can’t be answered even after using all the information.

Q5. The money is to be distributed among P, Q and R. What will be R’s share in it?
A. The difference between R’s and Q’s share is Rs 100.
B. P’s share is Rs 270.
C. The ratio of the shares of Q and R is 3 : 7.

(1) Only A
(2) A and C together
(3) All are not sufficient
(4) All are required
(5) None of these

Q6.What is the speed of a train?
A. The train crosses a stationary pole in 6 seconds.
B. The train crosses another train which is going in the same direction at the speed of 36 km/hr
in 12 seconds.
C. The train crosses an engine of length 40 m in 18 seconds.

(1) Only A and C together
(2) Any two of them
(3) B and either A or C together
(4) Only A and B together
(5) All statements are required

Q7.Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be

(1) 85.5               (2) 92.5               (3) 90.5            (4) 87.5            (5) None

Q8.A test has 50 questions. A student scores 1 mark for a correct answer, –1/3 for a wrong answer, and –1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

(1) 6     (2) 12     (3) 3      (4) 9 (5) 7

Q9.A leather factory produces two kinds of bags, standard and deluxe. The profit margin is Rs. 20 on a standard bag and Rs. 30 on a deluxe bag. Every bag must be processed on machine A and on Machine B. The processing times per bag on the two machines are as follows:

Time required (Hours/bag)

Machine A
Machine B
Standard Bag
4
6
Deluxe Bag
5
10

The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans, which one meets the machine availability constraints and maximizes the profit?

(1) Standard 75 bags, Deluxe 80 bags
(2)Standard 100 bags, Deluxe 60 bags
(3) Standard 50 bags, Deluxe 100 bags
(4) Standard 60 bags, Deluxe 90 bags
(5) None

Q10.A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?

(1) 146 Ï€      (2) 136 Ï€      (3) 156 Ï€      (4) 166 Ï€      (5) None of these

Solution:
Q1. SOL:   1
Let the amount of investment with each one be Rs. 400, then Hari lal = [400(1.1)2]
Hari Prasad = [100(1.1)2] + [300 + (300*r*2)/100]
So,
[400(1.1)2] = [100(1.1)2] + [300 + (300*r*2)/100]
R = 10.5 %

Q2. SOL:   2
Interest on 22500 = 0.1 * 22500 = 2250
Charges for managing concern = 60*12 = 720
If yearly profit is X then A & B share = x/2
x/2 – 2250 + 720 = ½(x/2 – 720 +2250)
x = 9180 Rs.

Q3. SOL:   3
Total age of X person initially = 60 X year
Total age of X person finally = 60x – 52 - 68 + y +72 = 60x +y -48
60x + y – 48 = 61x
Y – 48 = x
As 54 < y < 64, 6< x < 16
As X is a perfect square, x = 9 & y = 57

Q4. SOL:   5
A = ( H+E+P ) / 3 = 70
B = E – H = 10
C = B + P = 120, So marks of phy can’t be determined

Q5. SOL:  2
A = R – Q = 100
B = P = 270
C = Q : R = 3:7
So, A & C are sufficient to answer the question.

Q6. SOL:     1
Let length of train be L, and speed be = m/s
A = L/S = 6
B = (L+L2)/(S-10) = 12
C = (L+40)/S = 18
So, we can find speed of train using A & C

Q7. SOL: 4

Q8. SOL: 3

Q.9 SOL:   1

Let ‘x’ be the number of standard bags and ‘y’ be the number of deluxe bags.
Thus, 4x + 5y ≤ 700 and 6x + 10y  ≤ 1250
Among the choices, 3 and 4 do not satisfy the second equation.
Choice 2 is eliminated as in order to maximize profits the number of deluxe bags should be higher than the number of standard bags

Q10. SOL:   3

Curved surface area = 22/7 * r * l = 22/7 * 12 * 13 =20

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