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GKRECALL bring you the complete and important daily  Quant Quiz to achieve more marks in Banking, Insurance, UPSC, SSC, CLAT, Railways and all other competitive Exams. We prepare it based on our daily current affairs.Hope you like it.

START QUIZ

DATA INTERPRETATION

Directions ( 1 - 5): Answer the questions based on the information given below.

The given bar graph shows the Average variable cost (AVC) and Average fixed cost (AFC) of toothpaste manufactured by different companies.

Note: 1. Average total cost (ATC) = a × (AVC) + b × (AFC), where ‘a’ and ‘b’ are constants.

2. Average total cost (ATC) of toothpaste manufactured by Colgate is Rs. 45 more than Average total cost (ATC) of toothpaste manufactured by Pepsodent, and Average total cost (ATC) of toothpaste manufactured by Dabur is Rs. 160 less than Average total cost (ATC) of toothpaste manufactured by Sensodyne.

49
64
81
121
225

2.Total average cost of toothpaste manufactured by Pepsodent is what percentage of the total average cost of toothpaste manufactured by Dabur?

24%
36%
48%
64%
84%

3.Total average cost of toothpaste manufactured by another company ‘Patanjali’ is 25% more than the total average cost of toothpaste manufactured by Pepsodent. If average fixed cost of toothpaste manufactured by ‘Patanjali’ is Rs. 16, find the average variable cost (AVC) of toothpaste manufactured by ‘Patanjali’.

Rs. 24
Rs. 30
Rs. 36
Rs. 40
None of these

4.Find the ratio of average total cost of toothpaste manufactured by Sensodyne to the average total cost of toothpaste manufactured by Colgate.
6:5
5:4
4:3
3:2
2:1

5.Find the percentage economic profit obtained by Dabur, if total revenue obtained by Dabur is Rs. 400.

Note: 1. Economic profit (EP) = Total revenue (TR) – average total cost (ATC)

2. EP (%) = [(TR – ATC)/ATC] × 100

A.60%
B.50%
C.40%
D.25%
E.20%

ARITHMETIC SUM

Directions (6-7): The petrol prices shot up by 7% as a result of hike in the price of crudes. The price of petrol before the hike was Rs. 54 per litre. Rahul travels 2400 kms every month and his car gives a mileage of 18 kms to a litre.

Q6. Find the increase in the expenditure that Rahul has to incur due to the increase in the price of petrol (to the nearest rupee):
(a) Rs. 504
(b) Rs. 603.4
(c) Rs. 600
(d) Rs. 700.6
(e) None of these

Q7. By approximately how many kms should Rahul reduce his travel if he wants to maintain his expenditure at the previous level (prior to the price increase) ?
(a) 157 km
(b) 168 km
(c) 143 km
(d) 212 km
(e) 187 km

Q8. X started from a point A towards point B. After 2 hours. Y started from B towards A. By the time X travelled one-fifth of the total distance, Y had also travelled the same. If Y’s speed is thrice that of X’s speed, find the difference in the times (in hours) taken by X and Y to reach their destinations.
(a) 10
(b) 20
(c) 15
(d) 25
(e) none of these

Q9. Raghav bought 25 washing machines and some microwave ovens for Rs. 2,05,000. He sold 80% of the washing machines and 12 microwave ovens for a profit of Rs. 40,000. Each washing machine was marked up by 20% over cost and each microwave oven was sold at a profit of Rs. 2,000. The remaining washing machines and 3 microwave ovens could not be sold. What is Raghav’s overall profit/loss ?
(a) Rs. 1000 profit
(b) Rs. 2500 loss
(c) Rs. 1000 loss
(d) Can’t be determined
(e) none of these

Q10. A sells to B goods at five-thirds the rate of profit at which B has decided to sell it to C. C, on other hand, sells it to D at one-third the rate of profit at which B sold it to C. If D gives Rs. 2145 to C at 10% profit, how much did A buy it for ?
(a) Rs. 1000
(b) Rs. 2000
(c) Rs. 1500
(d) Rs. 1800
(e) none of these

DATA INTERPRETATION

Directions:( 11 - 15) Answer the questions based on the information given below.

A, B, C, D and E are five persons who have certain amount of money with them in denominations of only Rs. 10, Rs. 50, Rs. 100 and Rs. 500 notes. The graph depicts the number of notes of respective denominations with each of the five persons. Each of them deposits their respective amounts in the same bank.

11.What is the difference between the total amount deposited in bank by A and by D?
Rs. 46800
Rs. 40600
Rs. 43300
Rs. 38500
Rs. 35800

12.What is the total amount deposited in the bank through Rs. 500 notes?
Rs. 742000
Rs. 812000
Rs. 785000
Rs. 736000
Rs. 894000

13.Total number of Rs. 100 notes deposited in the banks is approximately what percentage of the total number of Rs. 50 notes deposited in the bank?
65.7%
78.2%
72.9%
69.5%
75.1%

14.What is the total amount deposited in the bank by B?
Rs. 242870
Rs. 256480
Rs. 259810
Rs. 243450
None of these

15.What is the ratio of amount deposited through Rs. 10 notes to the amount deposited through Rs. 500 notes by C in the bank?
77:1196
93:1297
105:1332
62:1009
88:1225

ARITHMETIC SUM

16) A machine produces articles at the rate of 50 units per hour. The articles sell for Rs. 100 each and the cost of production is Rs. 40 each. However, 20% of the articles have some defect and thus cannot be sold. The production rate of machine can be increased, but every increase of x units per hour would increase the production cost by 2x% and the number of defectives would become (20 + 1.5x)%. What is the maximum increase in production that can be undertaken without incurring losses?

a) 18 units

b) 16 units

c) 15 units

d) 17 units

e) None of these

17) I bought 3 apple and 5 banana at Rs. 67. After eating 1 apple, I sold the remaining fruits to Raja at Rs. 67. Raja, after eating 1 apple and 1 banana, sold the remaining fruits to Sam at Rs. 67. If Raja had an effective profit of 35% in this manner, how much percentage profit did I earn?

a) 40%

b) 27%

c) 20%

d) 41.25%

e) None of these

18) In 3 groups of children, there are 3 girls and 1 boy, 2 girls and 2 boys and 1 girl and 3 boys respectively. One child is selected at random from each group. What is the probability that 3 selected candidates are 1 girl and 2 boys?

a) 9/32

b) 13/32

c) 3/16

d) 1/16

e) None of these

19) On one day, Kajal is twice as likely to go to basketball, as she is likely to go for football practice. Given that Kajal necessarily goes for exactly one of the two activities each day, what is the probability that she goes to the basketball on 5 days out of 7 consecutive days of a specified week?

a) 28/729

b) 4/2187

d) 16/2187

e) None of these

20) Find the sum of all the numbers that can be formed by using all the digits 6, 7, 8, 0 and are divisible by 12?

a) 50260

b) 43842

c) 60540

d) 48046

e) None of these

DATA SUFFICIENCY

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A.If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

B.If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

C.If the data either in Statement I or in Statement II alone are sufficient to answer the question.

D.If the data in both Statements I and II together are necessary to answer the question.

E.If the data even in both Statements I and II together are not sufficient to answer the question.

21.Ram can complete a work in 12 hours. Shyam is 50% more efficient than Lakhan. Find the time taken by Lakhan to complete the work.

Statement I: Ram and Shyam can complete the work in 7.2 hours while working together.

Statement II: Ram is 50% more efficient than Shyam.

22.A bag contains 36 bulbs out of which few bulbs are defective. Find the number of defective bulbs in the bag.

Statement I: Two bulbs are randomly drawn from the bag and the probability that a defective and a non-defective bulb are drawn is ￼

Statement II: Two bulbs are randomly drawn from the bag and the probability that both the bulbs are defective is ￼

23.How long would it take a boat to cover 90 km upstream?

Statement I: The boat can cover 180 km upstream and 180 km downstream in a total time of 7.5 hours.

Statement II: ￼ a² - b² = 2400 (a=speed of boat, b = speed of stream)

24.Two trains A and B start at the same time from Patna and Darbhanga, respectively towards each other with the respective speed 60 km/hr and 75 km/hr. Find the distance between Patna and Darbhanga.

Statement I: When they meet, faster train had travelled 180 km more

Statement II: Both trains meet after 12 hours.

25.A shopkeeper is giving discount of 15% and his profit percentage is 70%, but a customer bargains and the shopkeeper sells him at Rs P less than he was supposed to sell. His profit percentage drops down to 50%. Find the cost price of the item.

Statement I: P = Rs. 200

Statement II: Marked Price = Rs. 2000

SOLUTIONS:

DATA INTERPRETATION

1.Average total cost of toothpaste manufactured by Colgate = Rs. (20a + 25b)

Average total cost of toothpaste manufactured by Pepsodent = Rs. (15a + 20b)

Average total cost of toothpaste manufactured by Dabur = Rs. (25a + 30b)

Average total cost of toothpaste manufactured by Sensodyne = Rs. (40a + 50b)

According to question,

(20a + 25b) = (15a + 20b) + 45

(20a – 15a) + (25b – 20b) = 45

5a + 5b = 45

5(a + b) = 45

(a + b) = 45/5 = 9

Therefore, (a + b)² = 92 = 81

Hence, option c.

2.Average total cost of toothpaste manufactured by Colgate = Rs. (20a + 25b)

Average total cost of toothpaste manufactured by Pepsodent = Rs. (15a + 20b)

Average total cost of toothpaste manufactured by Dabur = Rs. (25a + 30b)

Average total cost of toothpaste manufactured by Sensodyne = Rs. (40a + 50b)

According to question,

(20a + 25b) = (15a + 20b) + 45

(20a – 15a) + (25b – 20b) = 45

5a + 5b = 45

5(a + b) = 45

(a + b) = 45/5 = 9 … (i)

Also, (25a + 30b) = (40a + 50b) – 160

(40a – 25a) + (50b – 30b) = 160

15a + 20b = 160

5(3a + 4b) = 160

(3a + 4b) = 160/5 = 32 … (ii)

Solving equation (i), and (ii), we get, a = 4, and b = 5

Therefore, Average total cost of toothpaste manufactured by Pepsodent = Rs. (15 × 4 + 20 × 5) = Rs. 160

Average total cost of toothpaste manufactured by Dabur = Rs. (25 × 4 + 30 × 5) = Rs. 250

Therefore, required percentage = (160/250) × 100 = 64%

Hence, option d.

3.Average total cost of toothpaste manufactured by Colgate = Rs. (20a + 25b)

Average total cost of toothpaste manufactured by Pepsodent = Rs. (15a + 20b)

Average total cost of toothpaste manufactured by Dabur = Rs. (25a + 30b)

Average total cost of toothpaste manufactured by Sensodyne = Rs. (40a + 50b)

According to question,

(20a + 25b) = (15a + 20b) + 45

(20a – 15a) + (25b – 20b) = 45

5a + 5b = 45

5(a + b) = 45

(a + b) = 45/5 = 9 … (i)

Also, (25a + 30b) = (40a + 50b) – 160

(40a – 25a) + (50b – 30b) = 160

15a + 20b = 160

5(3a + 4b) = 160

(3a + 4b) = 160/5 = 32 … (ii)

Solving equation (i), and (ii), we get,

a = 4 and b = 5

So, Average total cost of toothpaste manufactured by Pepsodent = Rs. (15 × 4 + 20 × 5) = Rs. 160

Therefore, average total cost of toothpaste manufactured by Patanjali = Rs. 160 × 1.25 = Rs. 200

According to question,

(4 × AVC) + (5 × 16) = 200

AVC = (200 – 80)/4 = Rs. 30

Hence, option b.

4.Average total cost of toothpaste manufactured by Colgate = Rs. (20a + 25b)

Average total cost of toothpaste manufactured by Pepsodent = Rs. (15a + 20b)

Average total cost of toothpaste manufactured by Dabur = Rs. (25a + 30b)

Average total cost of toothpaste manufactured by Sensodyne = Rs. (40a + 50b)

According to question,

(20a + 25b) = (15a + 20b) + 45

(20a – 15a) + (25b – 20b) = 45

5a + 5b = 45

5(a + b) = 45

(a + b) = 45/5 = 9 … (i)

Also, (25a + 30b) = (40a + 50b) – 160

(40a – 25a) + (50b – 30b) = 160

15a + 20b = 160

5(3a + 4b) = 160

(3a + 4b) = 160/5 = 32 … (ii)

Solving equation (i), and (ii), we get,

a = 4, and b = 5

Therefore, Average total cost of toothpaste manufactured by Sensodyne = Rs. (40 × 4 + 50 × 5) = Rs. 410

Average total cost of toothpaste manufactured by Colgate = Rs. (20 × 4 + 25 × 5) = Rs. 205

Therefore, required ratio = 410: 205 = 2: 1

Hence, option e.

5.Average total cost of toothpaste manufactured by Colgate = Rs. (20a + 25b)

Average total cost of toothpaste manufactured by Pepsodent = Rs. (15a + 20b)

Average total cost of toothpaste manufactured by Dabur = Rs. (25a + 30b)

Average total cost of toothpaste manufactured by Sensodyne = Rs. (40a + 50b)

According to question,

(20a + 25b) = (15a + 20b) + 45

(20a – 15a) + (25b – 20b) = 45

5a + 5b = 45

5(a + b) = 45

(a + b) = 45/5 = 9 … (i)

Also, (25a + 30b) = (40a + 50b) – 160

(40a – 25a) + (50b – 30b) = 160

15a + 20b = 160

5(3a + 4b) = 160

(3a + 4b) = 160/5 = 32 … (ii)

Solving equation (i), and (ii), we get,

a = 4, and b = 5

Average total cost of toothpaste manufactured by Dabur = Rs. (25 × 4 + 30 × 5) = Rs. 250

Therefore, Economic profit (EP) of Dabur = Total revenue (TR) – average total cost (ATC) = 400 – 250 = Rs. 150

Therefore, EP (%) = [(TR – ATC)/ATC] × 100 = (150/250) × 100 = 60%

Hence, option a.

ARITHMETIC SUM     DATA INTERPRETATION

11.Total amount deposited in bank by A = 894 × 10 + 647 × 50 + 512 × 100 + 215 × 500

= 8940 + 32350 + 51200 + 107500

= Rs. 199990

Total amount deposited in bank by D = 1149 × 10 + 716 × 50 + 438 × 100 + 299 × 500

= 11490 + 35800 + 43800 + 149500

= Rs. 240590

Required difference = 240590 – 199990 = Rs. 40600

Hence, option b.

12.Total number of Rs. 500 notes deposited in the bank = 215 + 308 + 294 + 299 + 356 = 1472

Required amount = 1472 × 500 = Rs. 736000

Hence, option d.

13.Total number of Rs. 100 notes deposited in the bank = 512 + 505 + 597 + 438 + 419 = 2471

Total number of Rs. 50 notes deposited in the bank = 647 + 622 + 782 + 716 + 621 = 3388

Required % = (2471/3388) × 100 ~ 72.9%

Hence, option c.

14.Required amount = 785 × 10 + 622 × 50 + 505 × 100 + 308 × 500

= 7850 + 31100 + 50500 + 154000

= Rs. 243450

Hence, option d.

15.Total amount deposited in bank C through Rs. 10 notes = 1056 × 10 = Rs. 10560

Total amount deposited in bank C through Rs. 500 notes = 294 × 500 = Rs. 147000

Required ratio = 10560:147000 = 88:1225

Hence, option e.

ARITHMETIC SUM

Revenue in 1 hour that will be generated = 100(50 + x) × (100 – 20 –1.5x)/100

The cost will be = 40(50 + x) × (100 + 2x)/100

Then Profit in the whole process = 2000 – 2.3x2 – 75x

So, if profit > 0, then x < 17.38

=>Hence maximum increase in production that can be taken without loss = 17.

Raja’s profit = (1 apple and 1 banana) on (2 apple and 5 banana) = 35%

=>apple + banana = 35/100(2 apple + 5 banana)

=> solving we get = 6 apple = 15 banana

=> apple/banana = 5/2

So, my effective profit = 1 apple on (3 apple and 5 banana)

= 1 apple / 3 apple + 5(2/5) apple

= 1 apple / 5 apple × 100 = 20%

Hence, my effective profit for the whole transaction is = 20%.

Getting one girl and two boys can be possible in three disjoint cases:

So P(I) = 3/4 × 2/4 × 3/4 = 9/32

P(II) = 1/4 × 2/4 × 3/4 = 3/32

P(III) = 1/4 × 2/4 × 1/4 = 1/32

So, the required probability = P(I) + P(II) + P(III)

=>9/32 + 3/32 + 1/32 = 13/32.

5 out of 7 days can be selected in 7c5 ways. In those 5 days, Kajal has to go to Basketball.

Probability = (2/3)5

On the other 2 days she has to go for football practice.

Probability = (1/3)2

Therefore required probability

= 7c5 × (2/3)5 × (1/3)2

12 = (3 × 4).The number formed by all these digits will always be divisible by 3, because (6 + 7 + 8 + 0) = 21.

For divisibility by 4, last two digits should be 60 or 80 or 08 or 68 or 76.

If the last two digits are fixed we must make sure that the first digit is non-zero.

Case I: Last two digits are 60 or 80 or 08.

The first two digits can be arranged in 2 × 1 = 2 ways.

Case II: Last two digits are 68 or 76.

The first two digits can be arranged in 1 way, because the first digit cannot be 0.

So, sum = [(78 + 87) × 100 + 2 × 60] + [(67 + 76) × 100 + 2 × 80] + [(67 + 76) × 100 + 2 × 08] + 7068 + 8076 = 60540.

DATA SUFFICIENCY

21.EITHER 1 OR 2 IS SUFFICIENT

22.ONLY 2 IS SUFFICIENT

23.BOTH 1 AND 2 TOGETHER NECESSARY

24.Statement I:

Let they meet after x hours

Then, ￼ 75x - 60x = 180

=> X = 12 hours

Therefore, distance between Darbhanga and Patna = ￼60 x 12 + 75 x 12 = 1620 km

So, statement I alone is sufficient to answer the question.

Statement II:

Time after which train meets = 12 hours

Therefore, required distance = ￼￼60 x 12 + 75 x 12 = 1620 km

So, statement II alone is sufficient to answer the question.

Thus, the data either in Statement I or in Statement II alone are sufficient to answer the question.

So option (C) is the correct answer.

25.Let, marked price of the article = Rs. x

And, cost price of the item = Rs. y

According to the question: 1.7y = 0.85x

And, ￼1.5y = 0.85x - p

Statement I:

P = 200

We get, ￼1.7y = 1.5y + 200

￼=> y= 1000

So, statement I alone is sufficient to answer the question.

Statement II:

￼x=2000

So, discount price = ￼2000 × 0.15 = 300

So, cost price =  ￼(2000 - 300)/1.7 = 1000

So, statement II alone is sufficient to answer the question.

Thus, the data either in Statement I or in Statement II alone are sufficient to answer the question.

So option (C) is the correct answer.