KRISHNA MOHAN

Tuesday, 15 August 2017

Quant Quiz

1. A sum of Rs 731 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?
(1) Rs 172 (2) Rs 200

(3) Rs 262 (4) Rs 272

2. Manoj sold an article for Rs 15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the selling price?
(1) Rs12,500 (2) Rs13,500

(3) Rs12,250 (4) Rs13,250

3. What will be the compound interest accrued on an amount of Rs 10,000 @20p.c.p.a. in two years if the interest is compounded half-yearly?
(1) Rs 4,400 (2) Rs 4,600

(3) Rs 4,641 (4) Rs 4,680

4. The average weight of 4 men is increased by 3kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?

(1) 125 kg (2) 150 kg

(3) 122 kg (4) 132 kg

5. B and C together can complete a piece of work in 8 days. A and B can complete the same work in 12 days and A and C can complete the same work in 16 days. In how many days can A, B and C together can complete the work?
(1) 3³⁄₉ (2) 7⁵⁄₁₃

(3) 7⁵⁄₁₂ (4) 3⁵⁄₁₂

6. The average speed of a car is 1⁴⁄₅ times the average speed of the bus. A tractor covers 575 km in 23 hours. How much distance the car cover in 4 hours of the speed of the bus is twice the speed of the tractor?

(1) 340 km (2) 480 km

(3) 360 km (4) 450 km

7. A pump can fill a tank with water in 2 hours. Because of the leak, it took 2¹⁄₃ hours to fill the tank. The leak can drain all the water of the tank in:
(1) 4¹⁄₃hours (2) 7 hours

(3) 8 hours (4)14 hours

8. A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?
(1) Rs. 26 (2) Rs. 28.8

(3) Rs. 28 (4) Rs. 28.6

9. The ratio of the present ages of Anju and Sandhya is 13:17 respectively. Four years ago the ratio of their respective ages was 11:15. What will be the respective ratio of their ages six years hence?
(1) 3:4 (2) 7:8

(3) 5:4 (4) 4:5

10. A shopkeeper bought 30kg of wheat at the rate of Rs45 per kg. He sold 40% of the total quantity at the rate of Rs50 per kg. Approximately, at what price per kg should he sell the remaining quantity to make a profit of 25% overall?
(1) Rs 54 (2) Rs 52

(3) Rs 50 (4) Rs 60

Answers with Explanation:

1. (4) Let C's share be Rs x.

Then, B gets =0.75 x.

A gets = 1.25×0.75x

x+0.75x+0.9375x=731

2.6875x=731

x=⁷³¹⁄_2.6875 =272

2. (1) SP=Rs15000

SP after 10% discount= 15000-10%of15000

= 15000-1500=Rs13500

Profit on SP= 8%

CP= ¹³⁵⁰⁰⁄₁₀₈ ×100=Rs 12500

3. (3) CI=10000[{(¹¹⁄₁₀ )×(¹¹⁄₁₀ )×(¹¹⁄₁₀ )×(¹¹⁄₁₀ )}-1]

4. (4)

If the average is increased by 3 kg, then sum of weights

increases by 3 x 4 = 12 kg .

And this increase in weight is due to the extra weight included

due to the inclusion of new person.

Weight of new man = 120 + 12 = 132 kg.

5. (2) (B+C)'s 1 day work= ¹⁄₈ ...(i)

(A+B)'s 1 day's work= ¹⁄₁₂ ...(ii)

(A+C)'s 1 day's work = ¹⁄₁₆ ...(iii)

On adding all these three equations,

2(A+B+C)'s one day's work = ¹⁄₈ +¹⁄₁₂ ¹⁄₁₆ = ^(6+4+3)⁄₄₈ =¹³⁄₄₈

(A+B+C)'s one day's work= ¹³⁄₉₆

∴A, B and C can complete the work in ⁹⁶⁄₁₃ =7 ⁵⁄₁₃

6. (3)

Speed of the tractor= ^distance/_time

=⁵⁷⁵⁄₂₃ =25kmph

∴speed of bus= 50kmph

∴speed of car= ⁹⁄₅ ×50=90kmph

∴distance covered by the car in 4 hours= 4×90=360km

7. (4)

Work done by the leak in 1 hour = (¹⁄₂ -³⁄₇) = ¹⁄₁₄

∴leak will empty the tank in 14 hours.

8. (4)

CP of mixture = ^(20*2+30*3)⁄₂₊₃ =26

SP of the mixture = 1.1×26=28.6

9.(4)

Let the present ages of Anju and Sandhya be 13x and 17x years

respectively.

∴^13x-4⁄_17x-4 =¹¹⁄₁₅

=>187x-44=195x-60

=>195x-187x=60-40

=>x=2

∴Required ratio= (13×2+6):(17×2+6)

=4:5

10. (4)

CP of wheat= 30×45=Rs1350

40% of 30kg =12kg

SP of 12kg = 12×50 = Rs 600

For 25% profit, total SP of all the wheat is 1350×¹²⁵⁄₁₀₀

=Rs 1687.5

Remaining wheat (30-12) = 18kg

Rate of remaining wheat = ^1087.5⁄₁₈ ≈Rs60

Quant Quiz

1. A certain amount was to be distributed among A, B and C in the ratio 1 : 2 : 3 respectively, but was erroneously distributed in the ratio 4 : 3 : 2 respectively. As a result of this, C got Rs. 60 less. What is the total amount?

(a) Rs. 216

(b) Rs. 48

(d) Rs. 36

2. Gaurav scored 83 marks in subject A. He scored 75% marks in subject B and X marks in subject C. Maximum marks in each subject were 120. The overall percentage marks obtained by Gaurav in all three subjects together were 80%. How many marks did he score in subject C?

(a) 94

(b) 106

(d) 115

3. Monika enters a shop to buy pen, pencils and erasers. She has to buy at least 7 units of each. She buys more pencils than pen and more erasers than pencils. She picks up a total of 26 items. How many pencils does she buy?

(a) 10 or 11

(b) 9 or 10

(d) 7 or 9

4. Rs. 31,394 are divided between A and B in the ratio 5 : 6. What is the difference between thrice the share of A and twice the share of B?

(a) Rs. 6582

(b) Rs. 5862

(d) Rs. 8652

5. Sum of three consecutive numbers is 2475. What is 35% of the smallest number?

(a) 251.6

(b) 288.4

(d) 296.8

6. The product of three consecutive even numbers is 2688. What is five times the second number?

(a) 80

(b) 100

(d) 70

7. The sum of the ages of 4 members of a family 5 years ago was 106 years. Today when the daughter has been married off and replaced by a daughter in law, the sum of their ages is 108. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter in law?

(a) 22 years

(b) 11 years

(d) 18 years

8. When X is subtracted from the numbers 10, 14 and 20, the remainders are in continued proportion. What is the value of X?

(a) 2

(b) 1

(d) 5

9. A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probability that they are of the same colour?

(a) 41/190

(b) 21/190

(d) 99/190

10. A and B together can complete a task in 4 days. B and C together can complete the same task in 6 days. A and C together can complete the same task in 8 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

(a) 5 : 3

(b) 5 : 1

(d) 1 : 5

Directions (11-15): Study the following table carefully and answer the questions given below.

Number of employees working in four different companies in three different years.

Companies	2009		2010		2011
Companies	M	F	M	F	M	F
A	75	125	172	100	92	125
B	250	184	276	210	320	220
C	373	345	352	360	360	370
D	284	286	296	290	305	300
E	194	116	200	170	197	176

11. What is the total number of male employees in Company C over the years?

(a) 1085

(b) 1075

(d) 1058

12. What is the total number of Employees across the cities in the year 2011?

(a) 2456

(b) 2645

(d) 4930

13. What is the difference between the total number of female employees across the companies in the year 2010 and the year 2009?

(a) 64

(b) 54

(d) 74

14. What is the respective ratio of employee of Company D in the year 2009 to the employees of the same company in the year 2011?

(a) 305 : 232

(b) 114 : 121

(d) 121 : 114

15. The number of female employees in company C in 2010 is how much percent more than the number of female employees in company D in 2011?

(a) 50/3

(b) 25

(d) 20/3

Answers:

1. (a)

Let the total amount be x.

C’s original share = 3x / 6 = x / 2

C’s new share = 2x / 9

Now

(x / 2) – (2x / 9) = 60

x = 216

2. (d)

Gaurav’s marks in A = 83

Gaurav’s marks in B = 75% of 120 = 90

Now

(83 + 90 + x) / 360 * 100 = 80

x = 115

3. (c)

No. of erasers > No of pencils > No of pens

Possible combinations

Erasers = 11, Pencils = 8, Pens = 7

Erasers = 10, Pencils = 9, Pens = 7

4. (c)

Let the shares of A and B be 5x and 6x. Now

5x + 6x = 31394

x = 2854

Required difference = (3 * 5)x – (2 * 6)x = 3x = 8562

5. (b)

Let the numbers be x, x + 1 and x + 2. Now

x + (x + 1) + (x + 2) = 2475

x = 824

Required number = 35% of 824 = 288.4

6. (d)

Let the three numbers be x, x+2 and x+4. Now

x * (x + 2) * (x + 4) = 2688

x = 12

So the numbers are 12, 14 and 16.

Required number = 5 * 14 = 70

7. (d)

Sum of the ages of 4 members 5 years ago = 106 years

Sum of the ages at present if there was no change in family = 106 + 5 * 4 = 126

Sum of the ages after the daughter is replaced by daughter-in-law = 108

Difference in the age of the daughter and the daughter in law = 126 – 108 = 18

8. (a)

(10 – x) / (14 - x) = (14 - x) / (20 - x)

x = 2

9. (d)

Required probability =

10. (d)

Let the work to be done = 24 units

Work done by A and B in one day = 6 units

Work done by B and C in one day = 4 units

Work done by A and C in one day = 3 units

Work done by all three (A, B and C) in two days = 6 + 4 + 3 =13 units

Work done by all three (A, B and C) in one day = 13/2 = 6.5 units

Work done by A alone in one day = 6.5 – 4 = 2.5 units

Work done by C alone in one day = 6.5 – 6 = 0.5 units

Ratio of efficiencies of A and C = 2.5 : 0. 5 = 5 : 1

Ratio of time taken by them to complete the work alone = 1 : 5

11. (a)

Required sum = 373 +352+ 360 = 1085

Companies	2009		2010		2011
Companies	M	F	M	F	M	F
A	75	125	172	100	92	125
B	250	184	276	210	320	220
C	373	345	352	360	360	370
D	284	286	296	290	305	300
E	194	116	200	170	197	176

12. (c)

Required sum = 92 +320 + 360 +305 + 197 +125 +220 + 370 +300 + 176 =2465

13. (d)

Total number of females in 2009 = 125 + 184 + 345 + 286 + 116 = 1056

Total number of females in 2010 = 100 + 210 + 360 + 290 + 170 = 1130

Required difference = 1130 – 1056 = 74

14. (b)

Required ratio = (284+286) : (305 + 300) = 114 : 121

15. (c)

Required percentage = (360 - 300) / 300 * 100 = 20%

KRISHNA MOHAN

Pages

Tuesday, 15 August 2017

Quant Quiz

Quant Quiz

Quant Quiz

Quant Quiz

Total Pageviews