Data Sufficiency Quiz for IPPB Scale-1 Mains 2016-17

Q(1 – 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 all the three statements and give answer: –
a) If the data in statement I alone is sufficient to answer the question.
b) If the data in statement II alone is sufficient to answer the question.
c) If the data either in statement I alone or statement II alone are sufficient to answer the question.
d)If the data given in both I and II together 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

1. What is the profit earned by selling a bike for rupees 50000?
1) The cost price of 4 such bikes is equal to selling price of 3 bikes
2) 33.33% profit is earned by selling the bike.

2. What is the rate of interest p.c.p.a?
1) The amount triples itself in 12 years
2) The simple interest accrued in 4 years is Rs. 2000.

3. The average salary of 10 teachers of a school is Rs.4500. A group of teachers whose average salary is Rs.3000 leave the school and 3 new teacher joins. What is the average salary of new group of teachers in the school?
1) There are 2 teachers that leave the school.
2) The salary of new teacher is 2500.

4. What is the perimeter of the rectangular field?
1) Area of the field is 72m^2.
2) Length and breadth are in the ratio of 2:1.

5. How much profit did Bharti made by selling a chair?
1) She bought the chair with 30% discount on marked price
2) She sold it with 10% profit on labelled price.

6. How long will machine B, working alone take to produce ‘y’ candles?
1) Machine A produces ‘y’ candles in 10 minutes
2) Machine A and Machine B working together produces ‘y’ candles in 4 minutes

7. A train crosses a pole in 20 seconds. What is the length of the train?
1) The train crosses another train running in same direction with the speed of 80km/hr in 11 seconds.
2) Speed of the train is 54 km/hr.

8. What is the speed of boat in still water?
1) It takes 4 hours to cover the distance between P and Q downstream
2) It takes 6 hours to cover the distance between P and Q upstream.

9. What is the compound interest earned by Rahul at the end of 2 years?
1) The amount invested is rupees 17000
2) Simple interest at the same rate for 2 year is rupees 2400 and the rate of interest is 10 p.c.p.a

10. How much time did P take to reach the destination?
1) Q takes 24 minutes to reach the same destination
2) Ratio of the speed of P and Q is 3:4


ANSWERS :

1. 
Answer – c) If the data either in statement I alone or statement II alone are sufficient to answer the question
Explanation :
From 1st statement, 4*cp = 3*sp
4*cp = 3*50000, cp = 37500
From second statement, 50000 = [(100 + 100/3)/100]*c
We get cp = 37500

2. Answer – a) If the data in statement I alone is sufficient to answer the question
Explanation :
From first statement, 2p = p*(r/100)*12
From second statement, 2000 = p*(r/100)*4

3. Answer – e) if the data in both the statements I and II together are necessary to answer the question
Explanation :
New average salary = (4500*10 – 2*3000 + 3*2500)/11

4. Answer – e) If the data in both the statements I and II together are necessary to answer the question
Explanation :
From both equations, we get l = 12 and  b= 6 so perimeter = 36.

5. Answer – d)If the data given in both I and II together are not sufficient to answer the question.
Explanation :
Cp = (70/100)*Mp
Sp = (110/100)*mp
We can find the profit/loss percent but we cannot the amount of profit.

6. Answer – e) If the data in both the statements I and II together are necessary to answer the question
Explanation :
From both statements,
1/A + 1/B = 1/4
So, 1/B = 1/4 – 1/10 = 6/40
B = 20/3 minutes

7. Answer – b) If the data in statement II alone is sufficient to answer the question.
Explanation :
From second statement, we get
L = 20*54*5/18 = 300 meter

8. Answer – d) If the data given in both I and II together are not sufficient to answer the question.
Explanation :
D = 4*(b+s) and D = 6*(b-s)
So we can’t find the value of b

9. Answer – b) If the data in statement II alone is sufficient to answer the question
Explanation :
From second statement, we get
2400 = p*10/100*2
P = 12000
So CI = 12000*(1 + 10/100)^2 – 12000 = 2520

10. Answer – e) If the data in both the statements I and II together are necessary to answer the question
Explanation :
3x/4x = 24/t
We get t = 32 minutes

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