Directions (1-4): 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
(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 questions.
(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 in statement I alone or in statement II alone are not sufficient to answer the question.
(d) If the data in both the statements I and II are not sufficient to answer the question.
(e) If the data in both the statements I and II together are necessary to answer the question.
Q1. In how many days will five women complete a work?
I. Two women, five boys and three men together complete the work in six days.
II. Eight women complete the same work in twelve days.
Q2. What will be Shyam’s age after 6 years?
I. The ratio between Ram’s and Shyam’s present age is 4 : 3 respectively.
II. Ram is seven years older than Shyam.
Q3. What is the average speed of a car?
I. The average speed of the car is five times the average speed of a truck whereas the average speed of a bus is 45 km/hr.
II. The average speed of the truck is half the average speed of a train whereas the average speed of a jeep is 40 km/hr.
Q4. By selling a product at 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40/-
II. The selling price is 120% of the cost price.
Q5. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that none is yellow?
Q6. A dice is thrown twice. What is the probability of getting a sum 7 from both the throws?
Directions (7-10): Study the information carefully to answer the following questions.
An orgnisation consists of 1500 employees. The ratio of males to females in 17 : 13. All the employees work at five different levels named I, II, III, IV and V. 28% of females are at level I. 18% of the males work at level II. One-fifth of the males work at level V. The ratio of females to males at level II is 2 : 3. 25% of the total number of employees are at level III. Females working at level V are 60% of the males working at the same level. 18% of the females are at level IV. The remaining females are at level III. 16% of the males work at level I and the remaining males are working at level IV.
Q7. What is the number of males working at level III?
Q8. Number of males working at level IV forms what percent of the number of females working at the same level? (rounded off to two digits after decimal)
Q9. What is the number of females working at level V?
(e) None of these
Q10. Number of males working at level I forms approximately what per cent of total number of the employees in the organisation?
Directions (11-15): In the following questions two equations numbered I and II are given. You have to solve both the equations and
(a) If x>y
(b) If x≥y
(c) If x<y
(d) If x≤y
(e) If x=y or the relationship cannot be established
II. √225 y+2=0
I. 4/√x + 7/√x = √x
Sol. Let 5 women will complete the work in x days
Using Statement II
M1D1 = M2D2
5*x = 8*12
X = 19(1/5) days
Sol. Using Statement I
Let the present ages of Ram and Shyam be 4x and 3x respectively.
Using Statement II
4x = 3x + 7
X = 7
Therefore, Shyam’s age after 6 years = 3x + 6 = 21 + 6 = 27 years
Sol. The data in both the statements I and II are not sufficient to answer the question
Sol. Using Statement I:
Profit = SP – CP = 40
Sol. Required Probability = 7C2/12C2 = (7×6)/(12×11)=7/22
Sol. Event (when sum is 7) = (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Required probability = 6/36=1/6
Sol. The number of males working at level III = 228
Sol. Required Probability = 163/117*100=139.32%
Sol. The number of females working at level V = 102
Sol. Required Probability = 136/1500*100=9.07%
Sol. I. x^2+x-20=0
∴ No relation
Sol. I. 225x^2-4=0
II. √225 y+2=0
Sol. I. 4/√x+7/√x=√x
Sol. I. x^2-10x+24=0
x=4 or x=6
y=4 or y=5
Sol. I. x^2=961