1. A, B and C undertake a job for Rs 16000. A can complete the work in 4 days, B can complete the work in 8 days and C can complete the work in 16 days. With the help of a fourth man they complete the work in 2 days. Find fourth man's share ?
A. Rs 1000
B. Rs 2000
C. Rs 500
D. Rs 600
E. None of these
2. Two trains travels towards each other from stations X and Y respectively. The distance between X and Y is 260 km. If its given that the trains meet each other 2 hrs after starting from their respective stations, then find the sum of their speeds ?
A. 160
B. 260
C. 130
D. 75
E. None of these
3. How many kg of sugar at 42 paise/kg must a man mix with 25 kg of 24 paisa/kg so that on selling the mixture at 40 paise/kg he gains 25% profit ?
A. 20 kg
B. 15 kg
C. 10 kg
D. 18 kg
E. 12 kg
4. The average age of a man and his son is 30 years. The ratio of their ages is 7 : 3. What is the difference between the ages of the man and his son?
A. 24
B. 32
C. 16
D. 20
E. None of these
5. A car covers a distance of 960 km in 16 hours. What is the average speed of the train, if the speed of the train is 30% less than the speed of the car?
A. 45
B. 42
C. 50
D. 60
E. None of these
6. A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A. 4/7
B. 3/4
C. 4/5
D. 1/8
E. None of these
7. In simultaneous throw of two coins, the probability of getting at least one head is:
A. 1/2
B. 2/3
C. 3/4
D. 1/3
E. None of these
8. Sohan got 54 marks in Hindi, 65 marks in Science, 89 marks in Maths, 69 marks in Social Science and 68 marks in English. The maximum marks of each subject are 100. How much overall percentage of marks did he get?
A. 74
B. 69
C. 68
D. 72
E. None of these
9. Of the adult population in a certain city, 45% of men and 25% of women are married. If no man marries more than one woman, and vice versa, the percentage of total population of adults who are married, is:
A. 31.1%
B. 30%
C. 33.33%
D. 32.14%
E. None of these
10. In a test, A scored 10% more than B and B scored 5% more than C. If C scored 300 marks out of 400, then A’s marks are:
A. 350
B. 360
C. 310
D. 325
E. None of these
Directions(11-15): Study the pie-chart and answer the following questions.
The following pie-charts show the break-up of annual expenditures of two private-sector companies:
A. 382
B. 376
C. 366
D. 327
E. 380
A. Rs 1000
B. Rs 2000
C. Rs 500
D. Rs 600
E. None of these
2. Two trains travels towards each other from stations X and Y respectively. The distance between X and Y is 260 km. If its given that the trains meet each other 2 hrs after starting from their respective stations, then find the sum of their speeds ?
A. 160
B. 260
C. 130
D. 75
E. None of these
3. How many kg of sugar at 42 paise/kg must a man mix with 25 kg of 24 paisa/kg so that on selling the mixture at 40 paise/kg he gains 25% profit ?
A. 20 kg
B. 15 kg
C. 10 kg
D. 18 kg
E. 12 kg
4. The average age of a man and his son is 30 years. The ratio of their ages is 7 : 3. What is the difference between the ages of the man and his son?
A. 24
B. 32
C. 16
D. 20
E. None of these
5. A car covers a distance of 960 km in 16 hours. What is the average speed of the train, if the speed of the train is 30% less than the speed of the car?
A. 45
B. 42
C. 50
D. 60
E. None of these
6. A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A. 4/7
B. 3/4
C. 4/5
D. 1/8
E. None of these
7. In simultaneous throw of two coins, the probability of getting at least one head is:
A. 1/2
B. 2/3
C. 3/4
D. 1/3
E. None of these
8. Sohan got 54 marks in Hindi, 65 marks in Science, 89 marks in Maths, 69 marks in Social Science and 68 marks in English. The maximum marks of each subject are 100. How much overall percentage of marks did he get?
A. 74
B. 69
C. 68
D. 72
E. None of these
9. Of the adult population in a certain city, 45% of men and 25% of women are married. If no man marries more than one woman, and vice versa, the percentage of total population of adults who are married, is:
A. 31.1%
B. 30%
C. 33.33%
D. 32.14%
E. None of these
10. In a test, A scored 10% more than B and B scored 5% more than C. If C scored 300 marks out of 400, then A’s marks are:
A. 350
B. 360
C. 310
D. 325
E. None of these
Directions(11-15): Study the pie-chart and answer the following questions.
The following pie-charts show the break-up of annual expenditures of two private-sector companies:
11. The amount spent on transport by Pam-Tech is what percentage of the amount spent by Ram-Tech on transport?
A. 30%
B. 35%
C. 40%
D. 45%
E. None of these
12. The expenditure on raw material for both companies taken together, is what fraction of the total expenditure in 2008?
A. 0.2
B. 0.25
C. 0.3
D. 0.4
E. None of these
13. Both RamTech and PamTech spend the same amount on which category?
A. Rent
B. Transport
C. Salaries
D. Others
E. None of these
14. For which category the difference in expenditure is maximum?
A. Telephone & Electricity Bill
B. Transport
C. Salaries
D. Raw Material
E. None of these
15. The amount spent on salaries by PamTech is what percentage more than the amount spent by RamTech on trent?
A. 50%
B. 65%
C. 60%
D. 45%
E. None of these
Directions(16-20): What should come in place of the question mark in the following series:
16. 13,14,30,93, ?
B. 376
C. 366
D. 327
E. 380
17. 9,11,16,33,98,?
A. 326
B. 336
C. 331
D. 340
E. 355
B. 336
C. 331
D. 340
E. 355
18. 8,14,25,46,82,?
A. 138
B. 153
C. 166
D. 139
E. 135
B. 153
C. 166
D. 139
E. 135
19. 8,14,25,46,82,?
A. 138
B. 153
C. 166
D. 139
E. 135
B. 153
C. 166
D. 139
E. 135
20. 14, 8, 7, 11.5, 22, ?
A. 54
B. 59
C. 56
D. 58
E. 51
21. A box contains 27 marbles some are blue and others are green. If a marble is drawn at random from the box, the probability that it is blue is 1/3. Then how many number of green marbles in the box?
A. 10
B. 15
C. 14
D. 18
E. None of these
22. An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.
A. increases 20:21
B. decreases 21:20
C. increases 21:22
D decreases 22:21
E. None of these
23. Rs 6000 becomes Rs 7200 in 3 years at a certain rate of compound interest. What will be the amount received after 9 years?
A. Rs 11,498
B. Rs 10,352
C. Rs 9,368
D. Rs 10,368
E. None of these
24. A pipe can fill a tank in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 min in the beginning and then third pipe is also opened. Time taken to empty the water tank is?
A. 30 mins
B. 25 mins
C. 45 mins
D. 50 mins
E. None of the Above
25. Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop?
A. 8 hours
B. 7 hours
C. 6 hours
D. 9 hours
E. None of these
26. 1) x² + 30x + 221 = 0
2 ) y² – 53y + 196 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
27. 1) x² – 82x – 255 = 0
2) y² – 29y + 208 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
28. 1) x² – 33x + 272 = 0
2) y² – 30y + 224 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
29. 1) x² – 30x + 104 = 0
2) y² – 53y + 702 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
30. 1) x² + 11x – 180 = 0
2) y² + 20y + 91 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
B. 59
C. 56
D. 58
E. 51
21. A box contains 27 marbles some are blue and others are green. If a marble is drawn at random from the box, the probability that it is blue is 1/3. Then how many number of green marbles in the box?
A. 10
B. 15
C. 14
D. 18
E. None of these
22. An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.
A. increases 20:21
B. decreases 21:20
C. increases 21:22
D decreases 22:21
E. None of these
23. Rs 6000 becomes Rs 7200 in 3 years at a certain rate of compound interest. What will be the amount received after 9 years?
A. Rs 11,498
B. Rs 10,352
C. Rs 9,368
D. Rs 10,368
E. None of these
24. A pipe can fill a tank in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 min in the beginning and then third pipe is also opened. Time taken to empty the water tank is?
A. 30 mins
B. 25 mins
C. 45 mins
D. 50 mins
E. None of the Above
25. Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop?
A. 8 hours
B. 7 hours
C. 6 hours
D. 9 hours
E. None of these
26. 1) x² + 30x + 221 = 0
2 ) y² – 53y + 196 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
27. 1) x² – 82x – 255 = 0
2) y² – 29y + 208 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
28. 1) x² – 33x + 272 = 0
2) y² – 30y + 224 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
29. 1) x² – 30x + 104 = 0
2) y² – 53y + 702 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
30. 1) x² + 11x – 180 = 0
2) y² + 20y + 91 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Directions(31-35): What approximate value will come in the place of the question mark(?) in the following questions?(You are not expected to calculate the exact value.)
31. 1524.79 * 19.92 + 495.26 = ?
A. 31000
B. 32000
C. 33000
D. 34000
E. 36000
B. 32000
C. 33000
D. 34000
E. 36000
32. 1548.45 + 3065.15 ÷ 15.058 = ?
A. 1650
B. 1750
C. 1850
D. 1950
E. 1550
B. 1750
C. 1850
D. 1950
E. 1550
33. 25*3.25 + 50.4 ÷ 24 = ?
A. 77
B. 66
C. 55
D. 44
E. 60
B. 66
C. 55
D. 44
E. 60
34. (833.25 – 384.45) ÷ 24 = ?
A. 15.8
B. 16.5
C. 18.7
D. 17.9
E. 17.5
B. 16.5
C. 18.7
D. 17.9
E. 17.5
35. 5907 – 1296 ÷ 144 = ? * 8
A. 700.25
B. 658.25
C. 628.25
D. 737.25
E. 630.5
B. 658.25
C. 628.25
D. 737.25
E. 630.5
ANSWERS
1. Let the fourth man can do the job in 'x' days.
Togeher the fraction of work they complete in 1 day = (1/4 + 1/8 + 1/16 + 1/x) = (7x+16)/16x
So, they will complete the job in 16x/(7x+16) days.
Now, according to the question,
16x/(7x+16) = 2
Solving, we get,
x = 16 days.
Thus fourth man's share will be = [(1/16)/(1/2)]*16000 = Rs 2000.
2. Lets assume distance travelled by X before meeting 'x'
Then distance travelled Y will be (260-x).
Now, for Train X, its given,
Time = 2 hrs
Distance = x km
Thus, speed will be = x/2 km/hr
Similarly for Train Y,
Time = 2 hrs
Distance = (260-x) km
Thus speed will be = (260-x)/2 km/hr
Therefore the sum of the speeds of the trains will be,
= x/2 + (260-x)/2
= 260/2
= 130 km/hr.
3. Lets assume the amount to be mixed at 42 paise/kg be 'x'
Amount of sugar at 24 paise/kg = 25 kg
Then,
Total cost price = Amount * Price = (x*42) + (25*24) = 42x + 600
Total amount of sugar after mixing = (x+25) kg
Price of mixed sugar = 40 paisa
Thus, selling price = Total amount * Price = (x+25)*40
Now profit % is 25%, so,
25/100 = [(x+25)*40 - (42x+600)]/(42x+600)
Solving, we get,
x = 20 kg.
4. Let the age of father and son be x and y respectively.
x + y = 30*2 = 60
3x = 7y
x = 7y/3
Putting this in above equation, we get,
y = 18, thus x = 42
x – y = 42 – 18 = 24.
5. Speed of train = (960/16)*(70/100) = 42 km/hr.
6. Probability = 8/14 = 4/7.
7. n(E)=HT,TH,HH
P(E)=3/4
8. Marks in all subjects = 54 + 65 + 89 + 69 + 68 = 345
Total maximum marks = 5 * 100 = 500
Required percentage =(345/500)*100=69%
9. Let no of men = x & total population be 100
Total women = (100-x)
Married man = 45x /100 … (i)
& married women = 25/100 (100-x) … (ii)
From (i) = (ii)
x = 500/14
So, married man = 225 /14
Married woman = 225/14
Total married population = men + women = 450/14
Required % = (450/14)/100 *100 = 450/14% = 32.14%
10. Given, C's marks= 300
C's % marks = 300*100/400=75%
B 's% marks = 80%
A 's% marks =90%
A 's marks = 90% of 400 = 360
11. Amount spent by PamTech on transport = 5% of Rs. 80000 = Rs. 4000
Amount spent by RamTech on transport = 10% of Rs. 100000 = Rs. 10000
Hence, (4000 × 100)/10000 = 40%
12. (45 + 35)/ 200 = 0.4
13. Others for both the companies = Rs. 4000
14. For the category, raw material the difference is maximum
= 45000 – 28000 = Rs. 17000.
15. Amount spent by PamTech on salaries = 20% of Rs. 80000 = Rs. 16000
Amount spent by RamTech on rent = 10% of Rs. 100000 = Rs. 10000
Required % = 6000/10000*100=60% More
16. 13 * 1 + 1 = 14
14 * 2 + 2 = 30
30 * 3 + 3 = 93
17. 11 – 9 = 2
16 – 11 = 5
33 – 16 = 17;( 5 – 2 = 3; 17 – 5 = 12(3*4))….
18. 14 – 8 = 6
25 – 14 = 11
46 – 25 = 21; 11 – 6 = 5, 21 – 11 = 10….
19. 65 – 63 = 2
74 – 70 = 4
63 – 61 = 2…..
20. 14 * 0.5 + 1 = 8
8 * 1 – 1 = 7
7 * 1.5 + 1 = 11.5
21. Lets assume no. of blue marbles is 'x'
xc1/27c1 = 1/3
x/27=1/3
x= 27/3 =9
No of green marbles = Total – (no. of blue marbles) = 27-9 = 18
22. Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y
so total wage = 21xy initially and then 20xy
so wages decreases and ratio = 21:20.
23. 6000[1 + r/100]^3 = 7200
So [1 + r/100]^3 = 6/5
So 6000[1 + r/100]^9 = 6000*(6/5)*(6/5)*(6/5) = Rs 10,368.
24. x/6 – (x+5)/12 – (x+5)/15 = 0
x = 45 mins
25. The second car overtake the first car in x hours
Distance covered by the first car in x hours = Distance covered by the second car in x hours
10x = x/2[2a + (x-1)d]
10x = x/2[2*8 + (x-1)1/2]
x = 40 -31 = 9
26. (x + 13) (x + 17) = 0
x = – 13, – 17
y² – 53y + 196 = 0
y = 49, 4
27. x² – 82x – 255 = 0
x = 85, -3
y² – 29y + 208 = 0
y = 13, 16
28. x² – 33x + 272 = 0
x = 16, 17
y² – 30y + 224 = 0
y = 16, 14
29. x² – 30x + 104 = 0
x = 26, 4
y² – 53y + 702 = 0
y = 26, 27
30. x² + 11x – 180 = 0
x = -20, 9
y² + 20y + 91 = 0
y = -13, -7
31. A. 31000
32. B. 1750
33. A. 77
34. C. 18.7
35. D. 737.25
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