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__START QUIZ__

**Directions (1-5): In each of the following questions, a question is followed by three statements 1, 2 and 3. Read all the statements to find the answer to given question and then answer accordingly that which statement/s can give the answer alone/together.**

1.What is the distance between city M and city N?

Statement 1: Two cars (car A and car B) started simultaneously from city M to city N with their speed in the ratio 7:4.

Statement 2: Car A reached city M three hours earlier than car B.

Statement 3: Difference between the speed of Car A and Car B is 60km/h.

1. Only 1 and 2.

2. Only 2 and 3.

3. All, 1, 2 and 3

4. Cannot be answered even including all three statement.

5. None of these.

2.What is the rate of interest?

Statement 1: S.I. achieved in 5 years in an amount at the same rate of interest is Rs. 8000

Statement 2: The amount after some years on S.I is Rs. 96000

Statement 3: Difference between C.I. and S.I. earned in two years on the same amount and at the same rate of interest is Rs. 160.

1. Only 2 and 3

2. Only 1 and 3.

3. All the three are necessary to answer

4. Any two of the three statements.

5. None of these.

3.How many players failed in physical test in the senior team?

Statement 1: 36 players passed the physical test in the senior team.

Statement 2: No. of players failed the physical test in the senior team is equal to 80% of players who failed the physical test in the junior team.

Statement 3: Ratio of players appeared for the physical test in senior team to that of those who failed in physical test in the senior team is 4:1.

1. Only 1 and 2

2. Only 1 and 3

3. Only 3

4. All 1, 2 and 3

5. Cannot be answered even by combining all three statements.

4.What is the sum of two numbers?

Statement 1: The smaller number is 18 less than the bigger number.

Statement 2: 90% of the smaller number is equal to 60% of the bigger number.

Statement 3: The ratio between one – third of the smaller number and one-fourth of the bigger number is 1:3

1. Only 2 and 3

2. 1 and 2 together or 1 and 3 together.

3. Any two of the three statements.

4. All the statements are necessary.

5. None of these

5.What is the area of the circle?

Statement 1: If the ratio of length and breadth of the rectangle is 5:3.

Statement 2: The perimeter of the rectangle is 400m and the radius of the circle is 1/5th of the length of the rectangle.

Statement 3: If length is 50% more than breadth.

1. 1 and 2 together or 2 and 3 together.

2. All 1, 2 and 3.

3. Any two of the three statements.

4. 1 and 3 together.

5. None of these.

__DATA INTERPRETATION:__

6) If ratio of literate and illiterate males in city B is 4:3 respectively, find the percentage of literate females in city B.

a) 50.22%

b) 75.12%

c) 33.33%

d) 65.13%

e) None of these

7) Out of the illiterate population of city D, 30% are females. Find the percentage of literate males in city D.

a) 60%

b) 55%

c) 70%

d) 45%

e) None of these

8) Find the respective ratio of number of males in city A number of illiterates in city C.

a) 123: 128

b) 125: 128

c) 123: 125

d) 125: 127

e) None of these

9) Find the total number of literates in all the cities together.

a) 20400

b) 21600

c) 22500

d) 23700

e) None of these

10) Find the difference between total number of males and total number of females in all the cities.

a) 5300

b) 4200

c) 6200

d) 4800

e) None of these

__ARITHMETIC SUM:__11.A mixture contains coconut oil and sesame oil in the ratio 4 : 3 and another mixture contains them in the ratio 1 : 5. Approximately How many litres of the latter must be mixed with 3 litres of the former so that the resultant mixture may contain coconut oil and sesame oil in the ratio 3 : 7?

15.28 ltr

6.12 ltr

10.16 ltr

21 ltr

32 ltr

12.Amit, Bharat and Chirag started a business with their investments in the ratio 1 : 2 : 4. After 6 months, Amit invested 1.5 times the amount as before. Bharat invested thrice the amount as before while Chirag withdrew 1/4th of his investment. What will be the ratio of their profits at the end of the year?

5 : 16 : 14

16 : 5 : 14

14 : 5 : 12

14 : 12 : 5

None of these

13.Cost price of B is 300 more than cost price of A. B is sold at 20% loss and A is sold at 20% profit and selling price of A and B are in the ratio of 15 : 16. If B would be sold at 20% profit, then what will be the selling price (in Rs.) of B?

960

640

880

800

900

14.Tap A is 50% more efficient than tap B. Both tap together can fill the tank in ￼ 96/5 hours. Find the time taken by tap A to fill the tank alone.

12 hours

16 hours

32 hours

24 hours

36 hours

15.Average marks obtained by some students in an examination are 54. If 20% of the students got a mean score of 90 marks and the 30% of the students got a mean score of 20. Find the average marks of the remaining students.

114

63

51

60

None of these

16.Train A crosses a stationary train B of equal length in 40 seconds and a bridge of length 1320 meters in 100 seconds. If the train is travelling at the same speed in both the cases, find the length of the train A.(in meter)

250

218

330

600

125

17.Ramesh daily goes to his office from his home at a constant speed, but one day after driving for 45 minutes, his scooter faced some problem, so he drove at 3/5th of his usual speed for the remaining distance and reached his office late by 10 minutes. Find his actual travel time between his office and his home.

40 minutes

55 minutes

60 minutes

72 minutes

None of these.

18.P, Q and R start a business by investing a certain capitals. P receives 9/10 of the profit and Q and R share the remaining profit equally. P’s profit is increased by Rs.270 when the total profit rises from 12% to 15%. Find the total capital invested by Q and R.

Rs.1200

Rs.1000

Rs.1500

Rs.800

None of these

19.A fruit seller brought some apples at the rate of 24 apples for Rs 45 and same number of apples of another variety at the rate of 18 apple for Rs 60. He then sold the entire quantity at 5 for Rs 16. What will be his gain percent if he able to sell the whole lot?

18.50%

22.88%

24.50%

24.80%

None of these.

20.The average age of 6 members in a family 3 years ago was 40 years. At present, the daughter & the son of the family got married and daughter left the home & daughter- in- law came into the family so their average age now decreased by 1 year then find the difference the ages of daughter and daughter-in-law?

6

8

5

7

None of these

__SOLUTIONS:__1.Answer: 3. All, 1, 2 and 3

Explanation:

From (All, 1, 2 and 3)

Let the speed of car A and Car B be 7x km/h and 4x km/h respectively.

Difference between speed = 7x-4x = 3x

3x= 60km/h

x = 20km/h

4x = 4*20 = 80

7x = 7*20 = 140

Let the distance be D km

D/80 – D/140 = 3

D (60/80*140) = 3

D = (3*80*140/60)

D = 560 km/h

2.Answer: 2. Only 1 and 3.

Explanation:

From 1

(P*R*5)/100 = 8000

P*R = 160000

From 2

P + PRT/100 = 96000

From 3

(PR2/1002) = 160

Hence, by combining 1 and 3 rate of interest can be obtained (P and R can be obtained)

3.Answer: 2. Only 1 and 3

Explanation:

From 1 and 3

Let the of player appeared for physical test in senior team = 4x and number of player who failed the physical test in senior team = x

Number of player who passed the physical test in senior team = 4x-x = 3x

3x = 36

x = 12

The number of player who failed the physical test in senior team = x = 12

4.Answer: 2. 1 and 2 together or 1 and 3 together.

Explanation:

From 1:

If smaller number is x, greater number is x+18

Target – To find the value of x

Form 1 and 2

(9/10)*x = (6/10)*(x+18)

9x = 6x + 6*18

x = 36

From 1 and 3

{(1/3)*x} : {(1/4)*(x+18)} = 1:3

{4x: 3*(x+18)} = 1:3

4x: (x+18) = 1:1

x = 6

5.Answer: 1. 1 and 2 together or 2 and 3 together.

Explanation:

From 1 and 2

Let the length of rectangle is 5x and breadth of rectangle is 3x

2*(5x+3x) = 400

8x = 200

x = 25

length of rectangle = 5*25 = 125

breadth of rectangle = 3*25 = 75

radius of circle = (1/5)*125 = 25

Hence, Area of circle can be obtained.

From 2 and 3

Let the length is 3x and breadth is 2x

2*(3x+2x) = 400

5x = 200

x = 40

length of rectangle = 3*40 = 120

Breadth of rectangle = 2*40 = 80

Radius of circle = (1/5)*120 = 24

Hence, Area of circle can be obtained.

Direction (6-10) :

6) Answer: c)

Number of males in city B = 7/13 x 5200 = 2800

Number of females in city B = 6/13 x 5200 = 2400

Total number of literates in city B = 85/100 x 5200 = 4420

Literate males in city B = 4/7 x 2800 = 1600

Literate females in city B = 2400 – 1600 = 800

Percentage of literate females = 800/2400 x 100 = 33.33%

7) Answer: c)

Illiterate population of city D = (100 – 75)/100 x 4800

= 25/100 x 4800

= 1200

Number of illiterate females = 30/100 x 1200 = 360

Number of illiterate males = 1200 – 360 = 840

Number of males in city D = 7/12 x 4800 = 2800

Number of literate males = 2800 – 840 = 1960

Percentage of literate males = 1960/2800 x 100

= 70%

8) Answer: b)

Number of males in city A = 5/9 x 4500 = 2500

Number of illiterates in city C = (100 – 60)/100 x 6400

= 40/100 x 6400

= 2560

Required ratio = 2500: 2560 = 125: 128

9) Answer: d)

Number of literates in city A = 56/100 x 4500 = 2520

Number of literates in city B = 85/100 x 5200 = 4420

Number of literates in city C = 60/100 x 6400 = 3840

Number of literates in city D = 75/100 x 4800 = 3600

Number of literates in city E = 70/100 x 5600 = 3920

Number of literates in city F = 90/100 x 6000 = 5400

Required sum = 2520 + 4420 + 3840 + 3600 + 3920 + 5400 = 23700

10) Answer: a)

Total number of males in all the cities = 5/9 x 4500 + 7/13 x 5200 + 5/8 x 6400 + 7/12 x 4800 + 4/7 x 5600 + 3/5 x 6000

= 2500 + 2800 + 4000 + 2800 + 3200 + 3600

= 18900

Total number of females in all the cities = 4/9 x 4500 + 6/13 x 5200 + 3/8 x 6400 + 5/12 x 4800 + 3/7 x 5600 + 2/5 x 6000

= 2000 + 2400 + 2400 + 2000 + 2400 + 2400

= 13600

11.Consider the proportion of coconut oil

In Mixture 1 coconut oil is 4/7￼th of the entire mixture

In Mixture 2 coconut oil is ￼th 1/6of the entire mixture

In Final Mixture coconut oil is 3/10￼th of the entire mixture

Let the quantity of Mixture 2 required be Y.

￼ 12.Let their initial investments per month be x, 2x and 4x respectively

Therefore, of their investments during the first 6 months = x: 2x: 4x

Total investment for 6 months will be 6x, 12x, 24x respectively

For the next 6 months,

Total investment of Amit = (3x/2) x 6 = 9x

Total investment of Bharat = 6x x 6 = 36x

Total investment of Chirag = 3x x 6 = 18x

Therefore, at the end of the year,

Total investment of Amit = 15x

Total investment of Bharat = 48x

Total investment of Chirag = 42x

Ratio of their profits will be the same as ratio of their total investments,

Therefore,

Ratio of their profits = 15x: 48x: 42x = 5: 16: 14

So option (a) is the correct answer.

13.Let CP of A = Rs. 100x, then CP of B = Rs. (100x + 300), then

SP of A = 100x + 20% of 100x = 120x

SP of B = (100x + 300) - 20% of (100x + 300) = 80x + 240

According to the question,

120x/15 = (80x + 240)/16

⇒ 8x = 5x + 15

⇒ x = 5

∴ CP of B = Rs. 500 + 300 = Rs. 800

Since B is sold at 20% profit, then the SP of B = 120% of 800 = Rs.960

15.Let students got a mean score of x marks.

Remaining students percentage is 100% - 20% - 30% = 50%

Hence 20% of 90 + 30% of 20 + 50% of x = 54

18 + 6 + 50x/100 = 54

50x/100 = 54 - 24= 30

x = 30 x 2 = 60 marks

16.Let the length of the train A be x and speed be y

40= (x + x) / y

40y= 2x

x= 20y

Now,

100= (1320+x) / y

100y= 1320 + x

Putting the value of x

100y= 1320+ 20y

80y= 1320

y= 16.5m/s

x= 16.5×20= 330 m

17.Let

The original speed be u km/h

Time taken by him between point P and office at original speed be t hours

Distance between point P and office be d km

P is the point where Ramesh reached after 45 minutes.

t = ¼ hours = 15 minutes

Original time = 45 + 15 = 60 minutes = 1 hour

20.Total ages of 6 family members 3 years ago

= 6 × 40= 240 years

Total ages of the family at present including daughter

= 240+18= 258

Total ages of the family including daughter- in-law

= 42 × 6

= 252 years

So,

Required difference= 258-252= 6 years.

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