1.A bakery bakes cake with expectation that it will earn a profit of 40% by selling each cake at marked price. But during the delivery to showroom 16% of the cakes were completely damaged and hence could not be sold. 24% of the cakes were slightly damaged and hence could be sold at 80% of the cost price. The remaining 60% of the cakes were sold at marked price. What is the percentage profit in the whole consignment?
1) 3.2
2) 2.4
3) 2.8
4) 4.2
5) 3.6
2. A professional institute’s total expenditure on stdents for a particular course is partly fixed and partly varies linearly with the number of students. The average expense per student is Rs. 615 when there are 24 students and Rs. 465 when there are 40 students. What is the average expense when there are 60 students?
1) Rs. 370
2) Rs. 450
3) Rs. 350
4) Rs. 420
5) Rs. 390
3. The ratio of the present ages of A and B is 7 : 9. Six years ago the ratio of 1/3 of A’s age at that time and 1/3 of B’s age at that time 1 : 2. What will be the ratio of A’s to B’s age 6 years from now?
1) 4 : 5
2) 14 : 15
3) 6 : 7
4) 18 : 25
5) 22 : 25
4. A, B and C have to type 506 pages to finish an assignment. A can type a page in 12 minutes, B in 15 minutes and C in 24 minutes. If they divide the task into three parts so that all three of them spend equal amount of time in typing, what is the number of pages that B should type?
1) 172
2) 176
3) 154
4) 168
5) 164
5.A seller uses 920 gm in place of one kg to sell his goods. When he sells his article at 15% gain on cost price, the actual percentage of profit is:
1)25
2)30
3)20
4)15
5)16
5)16
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. Read both the statements and answer the given Question.
Give answer (1) if the data in statement I alone are sufficient to answer the question, while the data in statement It alone are not sufficient to answer the question.
Give answer (2) 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.
Give answer (3) if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4) if the data given in both the statements I and II together are not sufficient to answer the question and
Give answer (5) if the data in both the statements I and II together are necessary to answer the question.
6. What is the base of a triangle PQR with PQ as base?
I. Height and base of the triangle are in the ratio of 3 : 4
II. The area of the triangle is 48 cm^2, perimeter 36 cm and height 2/3 of the perimeter.
7. What is the speed of the train?
I. A train crosses another train coming from opposite direction at the speed of 45 kmph in 20 seconds.
II. The train crosses another train running in the same direction at the speed of 42 kmph in 1 minute 18 seconds.
8.What is the rate of interest pcpa?
I. An amount invested on simple interest becomes four times in 24 years.
II. The difference between compound interest and simple interest for two years on an amount of Rs. 10000 at that rate is Rs. 156.25
9. What is the total strength of institute X?
I. Out of the total strength of Institute X, 35% are females and rest are males. The number of females in Institute X is equal to the number of males in Institute Y.
II. Out of the total strength of Institute Y, the no. of males is 560, which is 28% of the total strength.
10.What is the cost of fencing a rectangular plot along all four sides @ Rs. 450 per meter?
I. The area of the plot is 1458m^2, which is 54 times the numerical value of its breadth.
II. The length of the plot is 200% of its breadth and the breadth is 50% of its length.
Answers with Explanation:
7.(4)
1.(1) Let total no’s of cake = 100
& CP of each coke = 1 Rs.
MP of each coke = 1.4
SP of 24% coke = 24 * 0.8 = 19.2
SP of 60% coke = 60 * 1.4 = 84
Total SP = 84 + 19.2 = 103.2
Profit = 103.2 – 100
Profit = 3.2%
2.(5) Let partially fixed expenditure be x & partially varying be y
x + 24 y = 615 * 24 …. (i)
x + 40y = 465 * 40 …. (ii)
from Eq. (i) & (ii)
y = 240 & x = 9000
required average = (9000+240*60)/60 = 390
3.(3) Let present age of A’s = 7x & B’s = 9x
So,(7x-6)/(9x-6) = 1*3/2*3
x = 6/5
ratio after 6 years
(7 * 6/5 + 6) /( 9 * 6/5 + 6) = 6 : 7
4.(2) Ratio of their efficiency
A : B : C = 1/12 : 1/15 : 1/24
= 10 : 8 : 5
So, required pages= 8*506/23 = 176
5.(1) Let CP = 100
& CP = 115
But he also uses 920 gm in place of 1kg
Also earn = 8% profit
Now actual CP = 100 – 8 = 92
Total profit % = (8+15)/92 * 100 = 25%
6.(2)
7.(4)
8.(3)
9.(5)
10.(1)
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