KRISHNA MOHAN

Thursday, 3 August 2017

Quant Quiz

Time: 10 -12 minutes
1. A can do a work in 50 days and B in 40 days . They work together for 10 days and then A leaves and B have to finish the work alone. How long will B take to finish it??

(a) 11 days

(b) 18 days

(d) 26 days

(e) None of these

2. 30 men, working 4 hrs a day can do a piece of work in 10 days. Find the number of days in which 45 men working 8 hrs a day can do twice the work. Assume that 2 men of the first group do as much work in 2 hrs as 4 men of the second group do in 1 hr.

(a) 6(1/3) days

(b) 6(2/3) days

(d) 3(1/6) days

(e) None of these

3. A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together?

(a) 8 hours

(b) 10 hours

(d) 6 hours

(e) None of these

4. A and B together can do a piece of work in 12 days which B and C together will do in 16 days. After A has been working on it for 5 days, and B for 7 days, C finishes it in 13 days. In how many days A,B and C alone will do the work ?

(a) 16, 48 and 26 days respectively

(b) 16, 48 and 24 days respectively

(d) 16, 46 and 24 days respectively

(e) None of these

5. Two women Ganga and Jamuna, working separately can mow a field in 8 and 12 hours respectively. If they work for an hour alternately, Ganga beginning at 9 am, when will the mowing be finished?

(a) 9:30 PM

(b) 8:30 PM

(d) 7:00 PM

(e) None of these

6. A, B and C together can do a work in 12 days. A alone can do the work in 36 days and B alone can do the same work in 54 days. Find in what time C alone can do that work?

(a) 9 days

(b) 18 days

(d) 27 days

(e) None of these

7. A, B and C together can do a work in 4 days. A alone can do the work in 12 days B alone can do the same work in 18 days. Find in what time C alone can do the same work alone?

(a) 9 days

(b) 18 days

(d) 8 days

(e) None of these

8. A can complete a work in 35 days and B can do the same work in 28 days. If A after doing 10 days, leaves the work , find in how many days B will do the remaining work?

(a) 15 days

(b) 10 days

(d) 24 days

(e) None of these

9. A can complete a work in 24 days and B can complete the same work in 18 days. If A after doing 4 days leaves the work find in how many days B will complete the remaining work?

(a) 11 days

(b) 15 days

(d) 10 days

(e) None of these

10. A and B together can do a piece of work in 6 days, B alone could do it in 8 days. Supposing B works at it for 5 days, in how many days A alone could finish the remaining work?

(a) 9 days

(b) 8 days

(d) 12 days

(e) None of these

11. A and B can do a piece of work in 20 days and 30 days. both starts the work together for some time,but B leaves the job 5 days before the work is completed. Find the time in which work is completed.

(a) 7 days

(b) 12 days

(d) 16 days

(e) None of these

12. Two pipes A & B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are open simultaneously. How much times will be taken to fill the tank?

(a)20 hour

(b)25 hour

(d)30 hour

(e)None of these

13. If A & B two pipes can fill a tank in 10 hour, when A pipe can fill a tank in 6 hour alone ,then in how much time will be taken to fill/empty the tank when pipe B open alone ?

(a) Empty in 15 hr

(b) Filled in 20 hr

(d) Filled in 15 hr

(e) None of these

14. Pipe A and B can fill a tank in 10 hour and 12 hour respectively but pipe C can empty the same tank in 15 hour, In how much time it will take fill the tank when the three pipes are opened together?

(a) 8.5 hour

(b) 10 hour

(d) 15 hour

(e) None of these

15. Two pipes A & B fill an empty tank in 40 minutes and 60 minutes respectively, If both pipes are open simultaneously after how much time should A be closed so that tank is filled in 36 minutes?

(a) 16 min

(b) 20 min

(d) 30 min

(e) None of these.

Answers :-
1. c
2. b
3. c
4. b
5. e
6. d
7. a
8. e
9. b
10. a
11. c
12. a
13. a
14. a
15. a

Explanation :

1. (c) 22 days
Let the total work be 200 work
Efficiency of
A = 200/50 = 4 work/day
B = 200/40 = 5 work/day
A+B’s efficiency = 9/day
A+B’s 10 days work = 9*10 = 90
Remaining work = 200-90 = 110
Time taken by B alone to finish the remaining wrk = 110/5 = 22days

2. (b) 6(2/3) days
M1D1H1/E1W2 = M2D2H2/E2W1 (From MDH Rule)
Efficinecy of first grp : 2nd grp = 2*2 :4*1 = 1:1
Now, D2 = M1D1H1E1W2 / M2H2E2W1
D2 = 30*4*10*1*2 / 45*8*1*1
D2 = 20/3 = 6(2/3) days

3. (c) 9 Hours
Let A+B together takes X hours
A will take X+27 hrs
B will take X+3 hrs
Let the total work be (X+27)(X+3)
Efficiency of A= X+3
B = X+27
Total efficiency = 2X+30
Time working together = (X+27)(X+3) / 2X+30 = X
X^2 +30X + 81 = 2X^2 + 30X
or, X^2 = 81 or X= 9 hrs (neglecting –Ve time )

4. (b) 16, 48 and 24 days respectively
Let the total work be 48
Efficiency of
A+B = 4/day…… (i)
B+C = 3/day……..(ii)
Now, A works for 5 days, B works for 7 days and C works for 13 days and completes the total work of 48.
This can be rewritten as
A+B for 5 days + B+C for 2 days + C for 11 days completes the total work of 48
Now, A+B’s 5 days work = 20
B+C’s 2 days work = 6
Therefore, 20+6+ C’s 11 days work = 48
C’s 11 days work = 48-26 = 22
C’s efficiency = 2/day.. (iii)
From (i),(ii),(iii)
C’s efficiency = 2
B’s Efficiency = 1
A’s efficiency = 3
Time taken by
A= 16 days, B= 48 days, and C= 24 days

5. (e) None of these (6:30PM)
Let the total work be 24
Efficiency of Ganga = 24/8 = 3/hr
Efficiency of Jamuna= 24/12 = 2/hr
They work alternately starting from Ganga
First 2 hrs work = 3+2 = 5
First 8 hrs work = 20
Remaining = 24-20 = 4
9th hr work to be done by Ganga = 3
Remaining work = 4-3 = 1 to be done by Jamuna in 1/2 hr.
Total time = 8+1+(1/2) hrs = 9.5 hrs or 9 Hr 30 minutes
So work will be completed by 9AM + 9 hrs 30 minutes = 18 hrs 30 minutes or 6:30 PM

6. (d) 27 Days
Let the total work be 108 (Common Multiple of 12,36 and 54)
Efficiency of A+B+C =108/12= 9,
of A alone = 108/36 = 3 and
of B alone = 108/54 = 2
Therefore of C alone = 9-(3+2) = 4
Time taken by C = 108/4 = 27 days

7. (a) 9 Days
Let the total work be 36 ( Can take any value Preferably Common Multiple )
Efficiency of
A+B+C = 36/4 = 9
A alone= 36/12 = 3
B alone = 36/18 = 2
C alone = A+B+C- (A+B) = 9-(3+2) = 4
Time taken by C alone = 36/4 = 9 days

8. (e) None of these (20 days)
Let the total work be 140
Efficiency of A = 4
Efficiency of B = 5
A works for 10 days = 4*10 = 40
Remaining work = 140-40 = 100 to be done by B
B will do it in 100/5 = 20 days

9. (b) 15 days
Let the total work be 72
Efficiency of A = 3 and Of B = 4
A’s 4 days work = 3*4 = 12 remaining work = 72 -12 = 60
Work completed by B in 60/4 = 15 days

10. (a) 9 days
Let the total work be 24
Efficiency of A+B = 4
Efficiency of B = 3
Efficiency of A = 1 as A+B = 4 and B= 3
Work done by B in 5 day = 3*5 = 15
Remaining work = 24-15 = 9
Remaining work to be done by A in 9/1 = 9 days

11. (c) 14 days
Let the total work be 60
Efficiency of A = 3 and of B = 2
Efficiency of A+B = 3+2 = 5
Suppose B never left the work then if the time taken remains same then work done by B in those 5 days will be added to original work.
Therefore, Now, works become = 60 + B’s 5 days work = 60+10 = 70
Time taken = 70/5 = 14 days

Other way :- B leaves the work 5 days before means A did work alone for that 5 days
Work Done by A in that 5 day = 5/20 = 1/4
Remaining work = 3/4
To complete the work together A+B would have taken 1/ (1/20+ 1/30) = 600/50 = 12 days
3/4th of the work together will be completed in 12*3/4 = 9 days
Total time = 5+9 = 14 days

12. (a) Required Time = 1/(1/45+1/36)= 20 hour

13. (a) 1/6+ 1/B= 1/10
So B = -60/4 =-15
So b will empty the tank in 15 hour

14. (a) Total Time = 1/(1/10 + 1/12-1/15)= 8.5 hour

15. (a) Pipe B will work for 36 min.
in 36 min he will fill the part of tank = 36/60 =3/5 part
Remain part = 2/5
it will filled by A in minutes = 2/5*40 = 16 min
So Tap A should be closed after 16 minutes to fill the tank in 36 minutes.

Quant Quiz

1. A sum of money is divided among A,B,C and D in the ratio of 3 : 5 : 9 : 13 respectively. If the share of C is Rs. 2412 more than the share of A, then what is the total amount of money of B and D together?

A) Rs. 4422

B) Rs. 7236

C) Rs. 6030

D) Rs. 4824

E) None of these

2. The average age of 80 girls was 20 years, the average age of 20 of them was 22 years and that of another 20 was 24 years. Find the average age of the remaining girls.

A) 17 years

B) 19 years

C) 21 years

D) 15 years

E) None of these

3. Ms. Pooja invests 13% of her monthly salary, i.e. Rs. 8554 in Mediclam Policies. Later she invests 23% of her monthly salary on child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual invested by Ms. Pooja?

A) Rs. 28952

B) Rs. 43428

C) Rs. 347424

D) Rs. 173712

E) None of these

4. The profit earned after selling an article for Rs. 878 is the same as loss incurred after selling the article for Rs. 636. What is the cost price of the article?

A) Rs. 797

B) Rs. 787

C) Rs. 767

D) Rs. 757

E) None of these

5. In a class of 240 students, each student got sweets that are 15% of the total number of students. How many sweets were there?

A) 3000

B) 3125

C) 8640

D) 9789

E) None of these.

6. Sonika spent Rs. 45, 760 on the interior decoration for her home, Rs. 27896 on buying air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount?

A) Rs. 98540

B) Rs. 102300

C) Rs. 134560

D) Cannot be determined

E) None of these

7. The ages of Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their ages will be 3 : 4. What is the difference in their ages?

A) 16 years

B) 8 years

C) 10 years

D) 12 years

E) None of these

8. By how much is 6/11 th of 506 lesser than 3/5 of 895?

A) 178

B) 219

C) 143

D) 261

E) None of these

9. The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age?

A) 45 years

B) 24 years

C) 36 years

D) Cannot be determined

E) None of these

10. The compound interest occured on an amount at the end of three years at 15 p.c.p.a is 6500.52. What is the amount?

A) Rs. 12480

B) Rs. 10500

C) Rs. 14800

D) Rs. 13620

E) None of these

11. ‘P’ liters of oil were poured into a tank and it was still r% empty How much oil must be poured into the tank in order to fill it to the brim?
A) (P × r)/(100-r)
B) P/(100-r)
C) 100P/(100-r)
D) 100P×r/ (100-r)
E) None of these

12. A sum of money is accumulating at compound interest at a certain rate of interest. If Simple interest instead of compound interest were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the Sum?
A) 8000
B) 6000
C) 10,000
D) 12,000
E) None of these

13. In Utkarsh’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t agree with Utkarsh and he thinks that Utkarsh’s weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Utkarsh?
A) 67 kg
B) 68 kg
C) 69 kg.
D) Data inadequate
E) None of these

14. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
A) 5/11
B) 7/11
C) 9/11
D) 3/11
E) None of these

15. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
A) 10 days
B) 12 days
C) 20 days
D) 25 days
E) None of these

ANSWERS & SOLUTIONS

1. B
2. A
3. C
4. D
5. C
6. B
7. E
8. D
9. C
10. A
11. A
12. A
13. A
14. E
15. B

1.(B) Let the original sum be Rs. x.
Sum of the Ratios = 3 + 5 + 9 + 13 = 30
C's share = Rs. 9x/30 = Rs. 3x/10
A's share = Rs. 3x/30 = Rs. x/10
According to the question,
3x/10 - x/10 = 2412
2x/10 = 2412
x = 2412 * 5 = Rs 12060
Amount received by B and D together
= Rs. (((5+13))/30 ×12060)
= 7236

2.(A) Total age of remaining 40 girls
= (80 * 20 - 20 * 22 - 20 * 24) years
= (1600 - 440 - 480) years
= 680 years
Required average age = 680/40 = 17 years

3.(C) Let Ms. Pooja's monthly salary be Rs. x
According to the question,
13% of x = Rs. 8554
= x = Rs. (8554 * 100)/13 = Rs. 65800
Total monthly investment in percentage
= 13 + 23 + 8 = 44
Total montly investment = 44% of Rs. 65800
= (44 * 65800)/100
= Rs. 28952
Total annul investment = Rs. (12 * 28952)
= Rs. 347424

4. (D) Let the CP of the article be Rs. x.
According to the question,
878 - x = x - 636
= 2x = 878 + 636 = 1514
x = 1514/2 = Rs. 757

5. (C) Number of sweets received by each student
= 15% of 240
= 15 * 240/100 = 36
Total number of sweets = 240 * 36 = 8640

6. (B) Let the total amount be Rs. x
The amount spent = 100 - 28 = 72%
72% of x = Rs. (45760 + 27896)
= 72 * x /100 = 73656
x = 73656 * 100/72 = Rs. 102300.

7.(E) Let the present ages of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,
5x + 8/8x + 8 = 3/4
= 24x + 24 = 20x + 32
= 4x = 32 - 24 = 8
x = 8/4 = 2
Required difference = (8x - 5x) years
= 3x = 3 * 2 = 6 years

8. (D) Required difference = 3/5 * 895 - 6/11 * 506
= 537 - 276 = 261

9. (C) (Sumit + Krishna + Rishabh)'s age
= 43 * 3 = 129 years .........................(i)
(Sumit + Rishabh + Rohit)'s age
= 3 * 49 = 147 years .........................(ii)
By equation (i) - (ii), we have,
Krishan's age - Rohit's age = 129 - 147 = -18
Krishna's age = 54 - 18 = 36 years

10. (A) Let the principal be Rs. P.
According to the question,
CI = P [(1+ R/100)^T- 1]
6500.52 = P [(1+ 15/100)^3- 1]
= 6500.52 = P [1.520875 -1]
P = 6500.52/0.520875 = Rs. 12480

11. (A) After filling ‘P’ liter still r % empty. So (100-r)% = P liter ;
Let x liter require to fill remain tank.
So full capacity of tank = 100P/(100-r)
So x= r% of capacity = 100P/(100-r) * r/100 = Pr/(100-r)

12. (A) P(r/100)^2= 20 –(1)
P(r/100)^2 ×(300+r)/100 =61 -(2)
Putting value from eqn 1
(300+r)/100 =61/20
On solving r = 5%
After put value in eqn(1) P= 8000

13. (A) Go through statements, it’s clear that average of probable weight of Utkarsh is 67 kg.

14. (E) Part filled by A+B+C in 3 min = 3(1/20+1/30+1/10) = 11/20
Part filled by C in 10 min = 3/10
Required ratio = 3/10:11/20 = 6:11
So the solution R in the liquid in the tank after 3 minutes = 6/11

15. (B) A and B together 1 day work =1/15+1/10 =5/30=1/6
Both work for 2 day = 1/3
Remain work =2/3
Left work done in (2/3) ÷ (1/15) =10 days
So total day = 10+2 = 12 days

Quant Quiz

1. Veer calculates his profit percentage on the selling price whereas Vipin calculates his profit percentage on the cost price.

They find that the difference of their profits is Rs 100. If the selling price of both of them are the same and both of them get 25 % profit,

find their selling price?

a) Rs.1800

b) Rs.2000

c) Rs. 2500

d) Rs. 2867

e) None of these.

2. A textile vendor sells shirts at Rs. 800 per shirt, however he forced to give two successive discounts of 10 % and 5 % respectively.

However he charges sales tax on net sales price from the customer at 5 %. What price does customer has to pay to buy the shirt ?

a) Rs. 730.40

b) Rs. 690.30

c) Rs. 718.20

d) Rs. 960.50

e) None of these.

3. A printer manufacturer initially makes a profit of 12 % by selling a particular model of printer for Rs 6500.

If the cost of manufacturing of that printer increases by 25 %, then price paid by customer is increased by 15 %.

Find the % profit made by the manufacturer ?

a) 5%

b) 6%

c) 4.5%

d) 9 %

e) None of these.

4. Mr. Kartik has taken loan from a bank in terms, he will donate 50 % of total capital at the end of the year to the bank.

He earned a profit of 50 % and donated 50 % of total to bank , next year he earned 50 % profit and donated 50 % of total to bank,

in third he again earned 50 % profit, after donating 50 % of total money he left with Rs.16,875, then find the amount donated by him at the end of 2nd year.

a) Rs. 40,000

b) Rs. 22,500

c) Rs. 16,000

d) Rs. 18,500

e) None of these.

5. Manufacturing of cement is made up with four components P, Q, R and S in ratio 2 : 3 : 4 : 5 . Due to seasonal variation-

if there are respective changes of + 10 % , - 20 % , - 30 % , + 40 % , then what would be the % change in the cost ?

a) 3.76%

b) 2.85%

c) 4.62%

d) 6.67%

e) None of these.

6. The population of a village is 5500. If the number of males increases by 11 % and the number of females increases by 20 %, then the population becomes 6330.

Find the population of females in the town?

a) 2500

b) 3000

c) 3500

d) 2250

e) None of these.

7. A man can row 8 km/hr in still water. If the river is running at 3 km/hr, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place?

a) 26.67 km

b) 32.5 km

c) 27.5 km

d) Can't determined

e) None of these.

8. A man borrows Rs. 20,000 at 10% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such installments?

a) Rs. 25000

b) Rs. 20000

c) Rs. 24000

d) Rs. 30000

e) None of these.

9. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

a) 30 hour

b) 70 hour

c) 35 hour

d) 40 hour

e) None of these.

10. Three taps A,B and C can fill a tank in 20,30and 40 minutes respectively. All the taps are opened -

simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .

At the moment a leak developed which can empty the full tank in 60 minutes. What is the total time taken for the completely full?

a) 24 minutes

b) 25 minutes

c) 35 minutes

d) 40 minutes

e) None of these.

11) The Simple interest on a sum of money is 1/9 of the Principal and the no. of years is equal to the rate %pa. The rate % pa is?

a) 9 %

b) 3.33%

c) 10%

d) 16.67%

e) None of these

12) A sum of money is accumulating at compound interest at a certain rate of interest. If Simple interest instead of compound interest were reckoned,

the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the Sum?

a) 8000

b) 6000

c) 10,000

d) 12,000

e) None of these

13) A certain sum is interested at compound. The interest occurred in the first two years is Rs. 272 and that in the First three years is Rs. 434. Find the rate %?

a) 33.33%

b) 25%

c) 12.5%

d) 16.67%

e) None of these

14) Saurabh opened a restaurant, with a initial investment of Rs. 30,000. In that first year, he incurred a loss of 5%. However, during the second year,

he earned the Profit of 10% which in third year rose to 12.5%. Calculate his net profit for the entire period of three years?

a) 5300

b) 5620

c) 6000

d) 6600

e) None of these

15) A bottle is full of Dettol. 1/3 of it is taken out and then an equal amount of water is poured into bottle to fill it. This operation is done 4 times.

Find the final ratio of Dettol and water in the bottle?

a) 43: 65

b) 17: 43

c) 16:63

d)16:65

e) None of these

Answers:

1. b
2. c
3. c
4. b
5. b
6. a
7. c
8. b
9. c
10. a
11. b
12. a
13. c
14. b
15. d

Solution

1.  Since veer calculates his profit percentage on Selling price so ,
CP = SP-25/100 SP = 75/100 SP = 3/4 SP
&vipin calulates his profit percentage on Cost price, So
SP = CP+25/100 CP= 5/4 CP or CP = 4/5 SP
As, Difference in Profit =100
SP/4 - SP/5 = 100
So, Selling Price = 2000

2.  Final Price Paid by customer = 800*(90/100) *(95/100) * (105/100) = 718.20

3. New SP= 6500+ 15% of 6500 = 7475
Old Cost price = 6500 -12% of 6500 =5720
New Cost Price = 125% of 5720 = 7150
% Profit = (7475-7150)/ 7150 *100 = 4.5%

4.  Let the initial capital is X
After one year 3/4 of X will be donated aur utna hi hath me bachega
After 2nd yr 9/16 of X will be donated ...& same
After 3rd yr 27/64 of X will be donated and the same in hand
27/64 of X = 16875
calculate x= 40000
Amount denoted in 2nd year =9/ 16 of X= 22500
5. Ratio of material's 2 : 3 : 4 : 5
Let is value be 20 , 30, 40, 50 so total sum = 140
Now, there is + 10 % increase in cost of P, 20 + 2 = 22
- 20 % decrease in the cost of Q , 30 - 6 = 24
- 30 % decrease in the cost of R , 40 - 12 = 28
+ 40 % increase in the cost of S , 50 + 20 = 70
Now, total sum of latest cost = 22+ 24 + 28 + 70 = 144
% change of Cost = (144-140)/140 * 100 = 2.85%

6.  Let X is the initial population of Male and Y be the initial population of Female
X + Y = 5500 .........(1)
If the number of males increases by 11 % and the number of females increases by 20 %, then
(111/100 )X+ (120/100) Y = 6330
1.11 X + 1.2 Y = 6330 , On putting the value of X from equeation (1)
1.11 ( 5500 - Y ) + 1.2 Y = 6330
Y = 2500, Population of females in town.

7. Let the speed of a man in still water be x km/hr and the speed of a stream be y km/hr.

If he takes t hours more in upstream than to go downstream for the same distance,
the distance = (x^2 - y^2)t/ 2y Km
x = 8 km/hr
y = 3 km/hr
t = 3 hours
As per the formula,
Distance = 27.5 Km.

8.  Amount after 3 years on Rs.20000 at 10% compound interest
= 20000( 1+ 10/100)^3= 26620.............(1)
He paid Rs.2000 after 1st year.
Hence Rs.2000 and its compound interest for 2 years (i.e., amount on 2000 after 2 year) need to be reduced from (1)
Similarly, he paid Rs.2000 after 2nd year.
Hence Rs.2000 and and its compound interest for 1 year (i.e., amount on 2000 after 1 year) need to be reduced from (1)
Similarly, he paid Rs.2000 after 3rd year.
Hence this Rs.2000 also need to be reduced from (1)
Hence, remaining amount= 26620 - 2000(1+10/100)^2 - 2000(1+10/100) - 2000 = Rs. 20000
i.e, he still owes Rs.20000 even after three installments.

9. Suppose pipe A alone takes x hours to fill the tank.
Then, pipes B and C will take x/2 and x/4hours respectively to fill the tank.
1/x+2/x+4/x = 1/5
on Solving,
x = 35 hrs.

10.  A, B, C do it in 20, 30 , 40 min respectively Let total work be 120
Efficiency of A,B,C = 6,4,3 respectively
First 5 min work = 13* 5 = 65
remaining = 120-65 = 55
next 6 min work = 7*6 = 42
Remaining = 13
Now, 120 work is done by leak in 60 minutes
Leak's efficiency = 120/60 = -2(as it empties the tank)
Leak +C = 3-2 = 1
time taken = 13/1 = 13 minutes
Total time taken = 5+6+13 = 24 Minutes

11. R=(100/9)^1/2 =3.33%

12.  P(r/100)^2= 40
P(r/100)^2 ×(300+r)/100 =61
On Solving P= 8000

13. P[(1+r/100)^2 -1]= 272 ----(1)
P[(1+r/100)^3 -1]= 434-----(2)
Consider 1+r/100 =a
On dividing eqn (2) by (1)
So (a3-1)/ (a2-1) = 434/272
On solving a=9/8
So 1+r/100 = 9/8
So r= 12.5%

14. 1st year loss = 1500
Price after 1st year = 28500,
2nd year profit = 2850
Price after 2nd year =31350
Profit in 3rd year = 3918.75
So net profit during 3 years = 3918.75+ 2850 – 1500= 5268.75
So option E is true

15. Final ratio of Dettol and water = (1-1/3)^4/{1-(1-1/3)^4} = 16: 65

Quant Quiz

Dear Reader,

Here we providing Quant quiz close to the pattern which we have experienced from last weekend exam.

Hope this post would be helpful to aspirants who are going for this weekend exam.

Time: 5 Min.

Directions (Q.1-5): What will come in place of the question mark (?) in the following?

1. 8^4 × 1/(8^3) × 8^5 ÷ 8^2= 8^?

1) 7

2) 2

3) 3

4) 4

5) None of these

2. -(a -b) * ? = (b -a)

1) -1

2) 1

3) -a

4) a

5) None of these

3. (a + b) = ? * (-a-b)

1) 1

2) -a

3) -1

4) -b

5) None of these.

4. (a^3 - b^3)/(a^2+b^2+ ab) = ?

1) (a-b)

2) (a+b)

3) a*b

4) -a+b

5) None of these

5, 16 + 26 * 2 = ?

1) 84

2) 44

3) 40

4) 832

5) None of these

Directions (Q. 6-10): What approximate value should come in place of question mark (?)

in the following questions? (You are not expected to calculate the exact value.

6. 63251 * 82 = ? * 42l05

1) 101

2) 123

3) 147

4) 165

5) 8885

7. (84111)^1/2= ?

1) 240

2) 270

3) 330

4) 290

5) 310

8. (54.78)^2= ?

1) 3000

2) 3300

3) 3500

4) 3700

5) 3900

9. (7171 + 3854 + 1195) ÷ (892 + 214 + 543) = ?

1) 13

2) 18

3) 3

4) 26

5) 7

10. (562 % of 816) + 1449 = ?

1) 4145

2) 5675

3) 6035

4) 7325

5) 8885

Answers:

1. 4
2. 2
3. 3
4. 1
5. 5
6. 2
7. 4
8. 1
9. 5

10.3

Data Interpretation

Directions (1-5) Study the following graph carefully & answer accordingly

The following graph shows the percentage of number of students in three different disciplines in a certain college for the years 2002-2007

Q1. The total no. of science student in 2004 was 900 and that of commerce students in 2007 was 700. Find the diff b/w the total number of students in these two years.

(a) 350

(b) 250

(d) 400

(e) 325

Q2. The average percentage of arts students is approximately how many times the average percentage of commerce students?

(a) 3

(b) 1.5

(d) 2

(e) 1.16

Q3. From 2005 to 2006, there was increment of 20% in total no. of students. If no. of science student in 2006 was 600 then find the total no. of students in arts stream in 2005.

(a) 900

(b) 1000

(d) 800

(e) 700

Q4. If number of students in arts stream in 2003 was 800. Then find the average number of students in science & Commerce stream in 2003.

(a) 950

(b) 1050

(d) 1200

(e) 1000

Q5. In 2004, there was 300 students in science stream then find the ratio of no. of students in commerce and arts in that year.

(a) 2 : 3

(b) 3 : 5

(d) 6 : 5

(e) 3 : 2

Directions (6-10): study the following graph to answer the questions.

Percent profit earned by two companies 1 & 2 over the years

Profit = Income – Expenditure

Q6. The income of company 1 in 1998 was Rs 142500. What was its expenditure in that year? (in lakhs)

(a) 1.056

(b) 1.5

(d) 2.5

(e) 1.75

Q7. Expenditure of company 2 in years 1996 & 1997 were in ratio 5 : 7 respectively. What was the ratio of their incomes?

(a) 182 : 107

(b) 101 : 191

(d) 5 : 9

(e) 115 : 182

Q8. Total expenditure of companies 1 & 2 together in 2001 was 13.5 lakh. What was total incomes of the two companies in that year?

(a) 15.5

(b) 17.5

(d) 16.5

(e) Can’t be determined

Q9. If expenditure of company 1 in 1997 was 70 lakh & income of company 1 in 1997 was equal to its expenditure in 1998. What was total income of company 1 in 1997 & 1998 together? (in lakhs)

(a) 204.75

(b) 205.625

(d) 210.2

(e) 208

Q10. If the expenditure of company 2 in 2001 was 1.5 lakh, what was its income in same year? (in lakhs)

(a) 2.25

(b) 1.75

(d) 1.95

(e) 1.85

Directions (11-15): What should come in place of question mark in the following questions?

Q11. 56% of 958+67% of 1008= ?% of 2000

(a) 60.592