Quant Mix Quiz

Maximum Time:- 7 Minutes.

1.A positive number is by mistake divided by 6 instead of being multiplied by 6 What is the % error on the basis of correct answer?

A.) 30

B.) 97

C.) 80

D.) 100

E.) None of these

2.Due to increase of 30% of price of cinema tickets the sale is reduced by 40%, then what will be the % change in income?

A.) 50% decrease

B.) 50 % increase

C.) 22% decrease

D.) 22% increase

E.) None of these

3.The ratio of salaries of Mehta and Dixit is 20:21 by what % is Dixit’s  salary greater than that of Mehta?

A.) 5

B.) 10

C.) 15

D.) 20

E.) None of these

4.The Price of clock imported from Switzerland was Rs. 1200, Due to devaluation of rupee, it’s value increased to 2100.What is the % increase in the price of the clock due to devaluation of rupee?

A.) 25%

B.) 50%

C.) 75%

D.) 100%

E.) None of these.

5.The Selling price of 12 pens is equal to cost price of 20 pens. Find the Profit  ?

A.) 50%

B.) 66.66%

C.) 11.11%

D.) 14.28%

E.) None of these

6.The Indian cricket team played 25 one-day matches in a particular season of an year and  won 40% of  their matches, A new coach was then brought in , who wanted the success rate of 75% of the matches played by the end of the year. How many minimum no. of matches more should be played so as to achieve the target?

A.) 35

B.) 40

C.) 50

D.) 60

E.) None of these

7.In a election there are two candidates a and B, B got 50% of the votes that A got. Had A got  200 votes less, there would have been a tie. How many cast their votes at all?

A.) 1500

B.) 1200

C.) 1000

D.) 900

E.) None of these

8.Bhupesh sold an article  marked at  4000  after four successive discounts of 10%, 15%, 20% and 25%, instead if he sold it 30% discount, he would  have realized

A.) 964 more

B.) 964 less

C.) 800 more

D.) 1000 more

E.) None of these

9. The population of a village is 7500. 42% of the population are females and rest males. The total no. of literate person in the village is 2370 while there are 90 more male literates compared to female literate. What is the % of  literate males out of total number of males in village?

A.) 30%

B.) 35%

C.) 40%

D.) 50%

E.) None of these

10. A, B and C invest in a partnership in the ratio 4:7:11, if the end of the Profit was distributed in the ratio 24: 35: 77, then find the ratio of the time they invested?

A.) 7:11:5

B.) 6:5:7

C.) 7:5:11

D.) 6:5:11

E.)  None of these

Answers:
1)  B
2)  C
3)  A
4)  C
5)  B
6)  A
7)  B
8)  A
9)  C
10)B

Solution 

1) % error= (6-1/6)/6 * 100 = 97%

2) 30 -40-30*40/100 = 30-52 = -22
   So 22% decrease.

3) (21- 20)/20 * 100 = 5%

4) (2100-1200)/1200 * 100 = 75%

5) (20-12)/12 * 100 = 66.66%

6) 25*40/100= 10;
   10+x/ 40+x = 75/100
  on solving x= 35

7) let B got x votes, then A got 2x, now 2x-200 = x+200
x=400
total votes= x+2x= 3x = 1200

8) S.P.= 90/100 * 85/100 * 80/100 * 75/100 * 4000 = 1836
 if he sold at 30% discount then S.P = 4000*70/100 =2800
so he will realized 2800 - 1836 = 964 more

9). No. of females = 7500*0.42 = 3150
No. of males = 7500-3150 =4350
let literate male and female are x and y respectively.
x+y= 2370
difference of illiterate male and female =90
So (4350-x)- (3150-y) = 90
on solving x-y = 1110
x= 1740
required % = 1740/4350 * 100 = 40%

10. let the time ratio will be p:q:r
so 4p:7q:11r= 24:35:77
on solving p:q:r= 6:5:7

Quant Quiz

Quant Quiz

1.) In what ratio will the total wages of the workers of a factory be increased or decreased if there be a reduction -

in the number of workers in the ratio 15 : 11 and an increment in their wages in the ratio 22 : 25.?

A) 5:6

B) 6:5

C) 25:36

D) 125:33

E) None of these.

2.) Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9,

 If each saves Rs. 50 per day, their daily incomes in Rs. are

A) 40, 50 

B) 50, 40 

C) 400, 500 

D) None of these

E) Can’t be Determined

3.) A dealer mixes tea costing Rs. 6.92 per kg with tea costing Rs. 7.77 per kg and sells the mixture at Rs. 8.80 per kg -

 and earns a profit of 17 .5 % on his sale price. In what proportion does he mix them?

A) 17:13

B) 2:3

C) 3:2

D) 13:17

E) None of these.

4.) A sum of Rs. 46875 was lent out at simple interest and at the end of 1 year 8 months the total amount was Rs. 50000.

 Find the rate of interest percent per annum.

A) 2.5%

B) 5%

C) 4%

D) 6%

E) None of these.

5.) If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, 

what is the compound interest on the same at the same rate and for the same time?

A) 50.75

B) 52

C) 51.25

D) 54

E) None of these.

6.) Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. 

There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A) 6:9:13

B) 7:8: 19

C) 2:3:4

D) None of these

E) Can’t be determined.

7.)  A, B and C jointly thought of engaging themselves in a business venture.

 It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. 

A wants to be the working member for which, he was to receive 5% of the profits. 

The profit earned was Rs. 7400. Calculate the share of B in the profit.

A) 2000

B) 2500

C) 2660

D) 2700

E) None of these.

8.) 5 years ago, the average age of P, Q and R was 25 year; 7 years ago the average age of Q & R was 20 years. 

Find the present age of P?

A) 30

B) 35

C) 36

D) 40

E) 90

9.) Aman begin a business with rupees 2100 and join afterwards by Kamal with rupees 3600,

 After how many months Kamal join if the profit at the end of the year are divided equally. 

A) 4 months

B) 5 months

C) 6 months

D) 7 months

E) 9 months

10. A shopkeeper Purchase a chair mark at rupees 800, at two successive discount of 10% and 15% respectively.

 He spent Rs. 25 on transportation and sold the chair for Rs. 800.Find his gain/loss percent?

A) Gain 25%

B) Loss 25 %

C) Gain 11.11 %

D) Loss 11.11 %

E) No gain no Loss

Answers 

1). B
2). C
3). C
4). C
5). C
6). C
7). C
8). C
9). B
10).A

Explanation:-

1.  Let x be the original number of workers and Rs. y the (average) wages per workers.
Then the total wages before changes = Rs. xy.
After reduction, the number of workers = (11 x)/15
After increment, the (average) wages per workers = Rs.(25 y)/22
The total wages after changes = (11x/15) × (25y/22) =5xy/6
Thus, the total wages of workers get decreased from Rs. xy to Rs. 5xy/6
Hence, the required ratio in which the total wages decrease is xy:5xy/6 = 6:5

2.  let earning= 4x : 5x; 
expences= 7y:9y
saving = income - expences
4x-7y= 5x-9y = 50 
on solving both eqn. x=100
So Daily income are Rs. 400 and Rs. 500

3.  Let us first find the cost price (C.P.) of the mixture. If S.P. is Rs. 100, profit is 17.5
Therefore C.P. = Rs. (100 - 17.5) = Rs. 82.5 
If S.P. is Rs. 8.80, C.P. is (82.5× 8.80)/ 100 = Rs. 7.26
C.P. of the mixture per kg = Rs. 7.26
2nd difference = Profit by selling 1 kg. of 2nd kind @ Rs. 7.26
= Rs. 7.77 – Rs. 7.26 = 51 paise
1st difference = Rs. 7.26 – Rs. 6.92 = 34 paise
We have to mix the two kinds in such a ratio that the amount of profit in the first case
must balance the amount of loss in the second case.
Hence, the required ratio = (2nd diff) : (1st diff.) = 51 : 34 = 3 : 2.

4.  Interest= Rs. 50,000 - 46875 = Rs. 3125
 1 year 8 month = 5/3 year
so 3125= (46875*r*5)/(3*100)
on solving this r = 4% 

5. Sum = (50*100)/(2*5) = Rs. 500
Amount = 500(1+5/100)^2 = 551.25
interest =551.25- 500 = Rs 51.5

6. math : Physics : bio = 5:7:8
After increment 5*140/100 : 7*150/100 : 8*175/100
14:21:28= 2:3:4

7.  Remain profit  for A, B & C
7400*95/100= 7030
A:B:C= 6500*6 : 8400*5 : 10,000*3 = 39:42:30
Share of B= 7030*42/111 =  Rs. 2660

8. Present age of P+Q+R = 25*3+ 5*3= 90 year
Present age of Q+R= 20*2 + 7 *2 = 54 year
present age of P = 90-54 = 36 year.

9. let Kamal work for y months. 
2100* 12 = 3600 * y ;
y = 7 months .
so duration after  kamal join = 12-7 = 5 months.

10. marked Price =800 
Seling price  after discount= 800*90/100*85/100 = 612
Total price including transportation = 612 + 25 = 637
 selling it to 800 there would be gain 

so gain % = (800 - 637)/637 *100 = 25 % approx 

Quant Quiz on Profit & Loss

Quant Quiz on Profit & Loss 

1. A person bought a horse and a carriage for Rs. 20,000. Later, he sold the horse at 20% profit and the carriage at 10% loss. 

Thus, he gained 2% in the whole transaction. The cost price of the horse was
(a) Rs. 7, 200/- 
(b) Rs. 7, 500/-
(c) Rs. 8, 000/-
(d) Rs. 9, 000/-
(e) none of these



2. A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50/-  for it then A purchased it at: 
(a) Rs. 500/-
(b) Rs. 7,50/-
(c) Rs. 1,000/-
(d) Rs. 1, 250/-
(e) none of these

3. An article is sold at a certain fixed price. By selling it at 2/3 of that price, one losses 10%.

 The gain percent on selling it at the original Price is: 
(a) 20
(b) 33.33
(c) 35
(d) 40
(e) none of these

4. A sells an article to B for Rs. 45, 000/- losing 10% in the transaction. B sells it to C at a price which would have given a profit of 10% to A. 

By what per cent does B gain?  
(a) 75/2
(b) 100/3
(c) 200/9
(d) 150/7
(e) none of these

5. The cost price of an article is 80% of its marked price for sale. How much per cent does the  tradesman gain after allowing a discount of 12%? 
(a) 20
(b) 12
(c) 10
(d) 8
(e) none of these

6.  A merchant has announced 25% rebate on prices of ready- made garments at the time of sale. 

If a purchase need to have a rebate of Rs. 400/-, then how many shirts, each costing Rs. 320/-, should he purchase? 
(a) 10
(b) 7
(c) 6
(d) 5
(e) none of these

7. A merchant purchases a wristwatch for Rs. 450/- and fixes its list price in such a way that after allowing a discount of 10%, 

he earns a profit of 20%. Then the list price (in rupees) of the wristwatch is : 
(a) 500
(b) 600
(c) 750
(d) 800
(e) none of these

8. A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs. 22, 500/- what is the reduced price per kg of tea? 
(a) Rs. 70/-
(b) Rs. 80/-
(c) Rs. 90/-
(d) Rs. 100/-
(e) none of these

9. Ram donated 4% of his income to a charity and deposited 10% of the rest in a Bank. If now he has Rs. 8, 640/- left with him, then his income is: 
(a) Rs. 12, 500/-
(b) Rs. 12, 000/-
(c) Rs. 10, 500/-
(d) Rs. 10, 000/-
(e) none of these

10. If the length of a rectangle is increase by 10% and its breadth is decreased by 10%, then its area :
(a) Decreased by 1%
(b) Increases by 1%
(c) Decreases by 2%
(d) Remains unchanged
(e) none of these

Answers with Explanation:

1. (c) Let CP of Horse = x
According to questions
X * 20/100 – (20,000 – x) *  10/100 = 20, 000 * 2/100
x = 8,000

2. (a) Let CP of A be x Rs
According to questions
115x/100 * 90/100 = 517.5
x  = 500

3. (c) Let CP = 100
2/3 SP = 90
SP = 135
P% = 35%

4. (c)

5. (c)Let MP = 100, CP = 80
SP = 88
P %  = 10%

6.(d) The cost of rebate of on a shirt = 25/100 * 320 = 80
No of shirts for taking the rebate of Rs. 400
= 400/80 = 5

7. (b) MP = 450 * 120/100 * 100/90 = 600

8. (c) 25 kg = 2250
1 kg = 90

9. (d) Le income of Ram = x
So, x = 94/100 * 90/100 = 8640
x = 10, 000

10. (a) 10 – 10 – (10 * 10)/ 100
       = -1

DI

Directions (1 – 5) Study the following graph carefully to answer the question given below it. 

Production of paper (in lakh tonnes) by three different company A,B and C over the years

1.What is the difference between the production of company C in 1999 and the production of company A in 2004?

(a)50,000 tonnes 

(b)500,00000 tonnes

(c)50,00,000 tonnes

(d)5,00,000 tonnes

(e)none of these  

2.What is the percentage increase in production of company ‘A’ from 2000 to 2001? 

(a)37.5

(b)38.25 

(c)35 

(d)36 

(e)none of these  

3.For which of the following years the percentage of rise/fall in production from the previous year is the maximum for company B? 

(a)2000

(b)2001

(c)2003

(d)2002

(e)none of these  

4.The total production of company C in 2001 and 2002 is what percentage of the total production of company A in 1999 and 2000? 

(a)95 

(b)90.50 

(c)110 

(d)133.33

(e)none of these  

5.What is the difference between the average production per year of the company with highest average production and the company with lowest average production in lakh tones? 

(a)3.17 

(b)4.33

(c)4.17 

(d)3.33

(e)none of these   

Directions (6 – 10) Study the following graph carefully to answer the question given below it.

Production of Sugar (in thousand tonnes) by three different sugar factories over the years.

6.For which of the following pairs of years the total production of the three companies together is equal? 

(A)1993 – 1994

(B) 1995 – 1997 

(C)1996 – 1998

(D) 1994 – 1995 

(a) B only 

(b) C only 

(c) D only 

(d) Both C and D

(e)none of these  

 7.In which of the following years for company ‘A’ the per cent rise/fall from the previous year is the maximum? 

(a)1996 

(b)1993

(c)1995

(d)1998

(e)none of these  

8.Average production per year for company ‘B’ is approximately what per cent of the average production per year for company ‘C’? 

(a)105% 

(b)85% 

(c)107% 

(d)93%

(e)none of these  

9.What is the percent rise in production of company ‘C’ in 1996 from 1995? 

(a)20% 

(b)25% 

(c)18% 

(d)15% 

(e)none of these  

10.What is the difference between the average production of the three companies together in 1997 and the average production of the three companies together in 1999 in thousand tonnes.?

(a)20 

(b)15 

(c)17 

(d)22

(e)none of these  

Answers with explanation:

1.(d)Required difference = 50 – 45 =  5 lakh tonne

= 5,00,000 tonnes

2.(a)Required percentage = (55 – 40)/40 * 100

= 75/2 = 37.5%

3.(b) In 2001 =(60 -50)/60 * 100 = 16.66%

4.(d)Required percentage = (60 + 60)/(50 + 40) * 100

120/90 * 100 = 133.33%

5.(c)Average production of company A

= (50 + 40 + 55 + 45 + 60 + 50)/6

= 300/6 = 50 lakh tonnes

Average production of company B

= (55 + 60 + 50 + 55 + 50 + 55)/6

= 325/6 = 54.17 lakh tones

Average production of company C

= (45 + 50 + 60 + 60 + 45 + 40)/6

= 300/6 = 50 lakh tones

Required difference = 54.17 – 50

= 4.17 lakh  tones

6.(d)

7. (a) Percentage increase in 1996=(60 -40)/40 * 100 = 50%

8.(d)Average production per year for company B=(50 + 55 + 45 + 70 + 50 + 60 + 80)/7 =410/7

Average production per year for company C=(55 + 40 + 60 + 75 + 60 + 80 + 70)/7  =440/7

Required Percentage

= 410/440 * 100 =  93%

9.(b)Required Percentage = (75 – 60)/60 * 100 = 25%

10.(b)Required difference

= (80 + 70 + 60)/3 – (60 + 55 + 50)/3

= 210/3 – 165/3 = 70 – 55

15 thousand tonnes

Data Interpretation

Directions (Q. 1 - 5): Following line graph shows the ratio of imports to exports of two companies over the years:

Q1. In how many of the given years were the imports more than the exports in case of company - A?

(a) 5 

(b) 3 

(c) 1 

(d) 2 

(e) 4

S1. Ans (d)

From the graph it can be seen that,

I/E > 1 is in 2 cases.

Q2. If the imports of Company-B in year 2011 were 51.688 lakh, then what were the exports of Company-B in the same year?

(a) 64.26 lakh 

(b) 67.54 lakh 

(c) 71.36 lakh 

(d) 73.84 lakh 

(e) None of these

S2. Ans (d)

I/E = 0.7

E = 51.688/0.7 = 73.84

Q3. If the exports of company-A and Company-B were equal to 84 lakh in year 2012 then what will be the difference between imports of company-B and imports of company-A in that year?

(a) 9.6 lakh

(b) 8.4 lakh

(c) 7.2 lakh

(d) 6.8 lakh

(e) 5.4 lakh

S3. Ans (b)

Required answer = 84 * 0.9 – 84 * 0.8 = 8.4

Q4. If the exports of company-A in year 2009 and exports of company-B in year 2012 were equal then the imports of company- B in 2012 is approximately what percentage of imports of company-A in 2009?

(a) 60% 

(b) 75% 

(c) 84% 

(d) 96% 

(e) 133.3%

S4. Ans (b)

I(A)/E(A) = 1.2

I(B)/E(B) = 0.9

I(B)/I(A) = ¾  (as E(a) = E(B))

Required % = ¾ * 100 = 75%

Q5. In year 2009, If the export of Company-B is increased by 100% and import is increased by 200%. Then what will be the new ratio of import to export of Company-B in that year?

(a) 0.8 

(b) 1.0 

(c) 1.2 

(d) 0.6 

(e) 1.5

S5. Ans (c)

I/E = 0.8

New ratio,

(I*200)/(E*300)=8/10

I/E=(8*3)/(10*2)=1.2

Directions (Q. 6 - 10): Following bar chart shows the production of cellular phones by six different companies during the year 2012 and 2013, and the table shows the percentage sale of these companies.

 

Q6. What is the percentage rise in production of company L. G from year 2012 to 2013?

(a) 30% 

(b) 35% 

(c) 40% 

(d) 45% 

(e) 50%

S6. Ans (d)

Required % = (121.8-84)/84*100=45%

Q7. How many phones Micromax sold in year 2013?

(a) 71348 

(b) 72576 

(c) 73428 

(d) 74124 

(e) 75308

S7. Ans (b)

Required answer = (134.4*1000*54)/100=72576

Q8. What is the total number of phone sold by KARBON in year 2012 and 2013 together?

(a) 91740 

(b) 92800 

(c) 93540 

(d) 94600 

(e) 95200

S8. Ans (e)

Required answer = (100*1000*46)/100+(82*1000*60)/100=95200

Q9. In the following companies which company shows maximum percentage rise/fall in production from year 2012 to 2013?

(a) MICROMAX 

(b) L. G. 

(c) SONY 

(d) NOKIA 

(e) SAMSUNG

S9. Ans (d)

Nokia shows maximum rise in the production from 2012 to 2013.

Q10. What is the difference between total sale of Samsung in 2012 and total sale of Nokia in 2013?

(a) 4200 

(b) 4400 

(c) 4600 

(d) 4800 

(e) 5100

S10. Ans (c)

Total sale of Nokia in 2013= (135*1000*64)/100=86400

Total sale of Samsung in 2012= (130*1000*70)/100=91000

Required difference = 91000 – 86400 = 4600

Data Interpretation

Directions (Q. 1-5): Study the following information carefully and answer the questions given below:

1500 students appeared in an examination, which consists of three papers: Physics, Chemistry and Mathematics. 190 students passed in Physics only, 180 students passed in Chemistry only, whereas 240 students passed in Mathematics only. 366 students passed in both Physics and Mathematics, 346 students passed in both Mathematics and Chemistry, whereas 326 passed in both Physics and Chemistry. 206 students passed in all the three papers (Physics, Chemistry and Mathematics).

Solutions :
Directions (1-5):

Q1. How many students failed in Physics?

(a) 676 

(b) 824 

(c) 854 

(d) 754 

(e) None of these

Q2. How many students failed in only one subject?

(a) 610 

(b) 816 

(c) 420 

(d) 1236 

(e) None of these

Q3. How many students failed in at least one subject?

(a) 1149 

(b) 1249 

(c) 1194 

(d) 1236 

(e) None of these

Q4. How many students failed in Chemistry and Mathematics?

(a) 454 

(b) 504 

(c) 444 

(d) 1154 

(e) None of these

Q5. How many students passed in at least one subject?

(a) 1149 

(b) 1249 

(c) 1294 

(d) 1236 

(e) None of these

Directions (Q. 6-10): Study the following graph and answer the questions given below.

Q6. If the income of Company A in the year 2001 was Rs 40 lakhs, what was its expenditure in that year?

(a)Rs 20 lakhs 

(b)Rs 30.76 lakhs 

(c)Rs 31.84 lakhs

(d) Cannot be determined 

(e) None of these

Q7. If in the year 2001, total expenditure of Company B and C was Rs 42 lakhs, then what was their total income in the same year?

(a)Rs 32 lakhs 

(b)Rs 62 lakhs 

(c)Rs 63 lakhs

(d) Cannot be determined 

(e) None of these

Q8. If in the year 2000, expenditure of Company C was Rs 36 lakhs, what was the income in the same year?

(a)Rs 34.6 lakhs 

(b)Rs 32.8 lakhs 

(c)Rs 30 lakhs 

(d)Rs 46.8 lakhs 

(e) None of these

Q9. If the expenditure of Company E in the years 2000 and 2001 were the same, what was the ratio of the incomes of the company in same years respectively?

(a)23 : 29 

(b)27 : 31 

(c)27 : 29 

(d)23 : 27 

(e) None of these

Q10. The income of Company D in the year 2000 was Rs 51 lakhs. What was the earned profit?

(a)Rs 15.83 lakhs 

(b)Rs 17.8 lakhs 

(c)Rs 16.83 lakhs 

(d)Rs 13 lakhs 

(e) None of these