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Direction (1-10): Each of the questions given below

consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read the both statement6s and Give answer

a) If only statement I is sufficient to answer the

question.

b) If only statement II is sufficient to answer the

question.

c) If either statement I or statement II is sufficient to

answer the question.

d) If neither statement I nor statement II is sufficient to

answer the question.

e) If both statement are required to answer the question.

1.How much time will Train P take to cross Train Q (from the moment they meet) running in opposite directions (towards each other) ?

I. The respective ratio of speeds of Train P and Train Q is 3 : 4. The sum of the lengths of Train P and Train Q is 700 metre.

II. Train P can cross a signal pole in 12 seconds. It can cross 600 metre long station in 25 seconds.

2. What is the rate of interest per annum?

I. The difference between the compound interest and the

simple interest on an amount of Rs32000 in two years is

Rs 320.

II. An amount triples itself at simple interest in 14 years.

3.How many students in a class can write both French and Spanish?

I. In the class, 25% of the total students can write Spanish and two-fifth of the remaining students can read French.

II. Total number of students in the class is 385.

4.Distance between Lucknow and Bareilly is 360 km. Find the speed of boat in still water.

I. Time taken by boat to travel from Lucknow to Bareilly downstream and come back is 30 hours.

II. Time taken by boat from Lucknow to Bareilly and come back is 28.8 hours if the water is still.

5.What was the total compound interest on a sum after three years?

I. The interest after one year was Rs. 100 and the sum was Rs. 1000.

II. The difference between simple interest and compound interest on a sum of Rs. 1000 at the end of two years was Rs. 10.

6.What is the Marked price and Cost price of the TV purchased by Mr.John?

I. John got discount of 25% on the Marked price

II. John sold 17603 at a profit of 16%

7. Find the rate of interest?

I. The difference between the simple interest and compound interest for 2 years is Rs.800.

II. The simple interest accrued on the amount Rs.3000 is Rs.500.

8. In how many days can ‘Q’ alone complete the work?

I. P, Q and R together can complete the work in 9 days.

II. P and Q together can complete the work in 10 days, Q and R together the work together in 20 days, and P and R together can complete the work in 15 days.

9.Find the marks obtained by Sushma in half-yearly exam, if the sum of marks obtained by Sushma and Suraj is half-yearly exam are 1410.

I. The ratio of marks obtained by Sushma and Suraj in quarterly exam was 9:8 resp.

II. The ratio of marks obtained by Sushma in quarterly exam to the half-yearly exam is 2:3 resp. while ratio of marks obtained by Suraj in quarterly exam to the half-yearly exam is 4:5 resp.

10.If a village is losing 10% of its water supply each day because of a burst water pipe, then what is the loss in rupees per day?

I. The daily water supply to the village is 600 million gallon.

II. The cost to the village for every 48000 gallons of water lost is Rs.50.

**SOLUTION**

**Solution (41-50)**

1. B

From statement I:

Relative speed = 3x + 4x = 7x units

Sum of Length of trains = 700 m

Required time = 700/7x = no result

From statement II:

speed of train P = x/12 = (x + 600)/25

=> 25x = 12x + 7200

=> 13x = 7200

=> x = 7200/13

2. C

Statement I:

We know that, difference between the compound interest

and the simple interest= (PR2)/1002

320 = (32000* R2)/100*100

R= 10%

Statement II:

Let P=100

n=14

We know that, SI= pnr/100

Amount = 3P = 300

Interest = 300 – 100 = 200

If we substitute these values we can find the rate

ofinterest per annum.

Hence Either Statement I or statement II is sufficient to

answer the question.

3. D

Even from the both the statement we are not able to get

the data about the number of students who can write

French. Hence, both the statement are not sufficient to

answer the question.

4. B

From I: 360/(b+s) + 360/(b-s) = 30

=> 240b = (b^2 – s^2)

This cannot solve alone.

From II: 360/b + 360/b = 28.8

=> b = 25 km/hr

This statement alone is sufficient.

5. C

From statement I: r = (100*100)/1000 = 10%

P = Rs. 1000 , r = 10%, t = 3 years

Hence, CI can be described.

From statement II: SI = (1000*r*2)/100 = 20r

CI = 1000[(1+(r/100)^2) – 1] Therefore, CI – SI =

1000[(1+(r/100)^2) – 1] – 20r

=> r = 10

Hence , CI can be determined.

6. E

SP= MP*75/100 =3MP/4

From B: SP= CP*116/100 =26CP/25

29CP/25 = 17603

CP = 15175

MP= 4*(17603)/3= 23470.67

Both the statements are needed.

7. D

From Statement I:

Sum is not given. So, statement I alone is not sufficient

to the answer the question.

From Statement II, Time period is not given. So,

Statement II alone is not sufficient to the answer the

question.

8. B

From I. (P + Q + R) can do the work in 93/13 days.

Hence, from I alone we cannot get the answer.

From II.

(P + Q)’s one day work = 1/10 part of the work………

(i)

(Q + R)’s one day work = 1/20 part of the work………..

(ii)

(P + R)’s one day work = 1/15 part of the work…………

(iii)

∴ 2(P + Q + R)’s one day work = 1/10 + 1/20 +1/15 =

13/60

∴ (P + Q + R)’s one day work = 13/120………….. (iv)

By subtracting (iii) by (iv), we get Q’s one day work.

∴ Q’s one day work = 13/120 - 1/15 = 5/120 = 1/24

Hence, from II alone we can get the answer.

9. E

From I: Let the marks obtained by Sushma and Suraj in

quarterly exam be 9x and 8x resp.

Nothing is known about their marks in half-yearly exam.

So, this statement is not sufficient alone.

From II: Let the marks obtained by Sushma in quarterly

exam and half-yearly exam be 2y and 3y resp.

Also, let the marks obtained by Suraj in quarterly exam

and half-yearly exam be 4z and 5z resp.

So, this is also not sufficient alone.

Combining both the equations, we get

Let the marks obtained by Sushma and Suraj in quarterly

exam be 9x and 8x resp.

Now, 9x*(3/2) + 8x *(5/4) = 1410

=> x = 60

So, the marks obtained by Sushma in half-yearly exam =

9x*(3/2) = 810

10. E

I –> Loss of water supply = 6000000 gallon

II–> The loss in rupees

Both statements I and II required to answer the question.