1. The value of
3 √2 - 4 √3 + √6
√3+ √6 √6+ √2 √3+ √2
is
(A) 4 (B) 0
(C) √2 (D) 3 √6
2. √(6+√( 6+ √(6+...))) = ?
(A) 2.3 (B) 3
(C) 6 (D) 6.3
3. The square root of
√3+ √2
√3- √2 is
(A) √3+ √2 (B) √3- √2
(C) √2± √3 (D) √2- √3
4. The remainder when 321 is divided by 5 is
(A) 1 (B) 2
(C) 3 (D) 4
5. The value of
21⁄3 - 12⁄11
3+ 1
3+ 1
3+ 1
3
is
(A) 38/109 (B) 109/38
(C) 1 (D) 116/109
6. The last digit of (1001)2008 + 1002 is
(A) 0 (B) 3
(C) 4 (D) 6
7. 3 √(1 - 127/343) is equal to
(A) 5/9 (B)1- 1/7
(C) 4/7 (D) 1- 2/7
8. If the sun of two numbers be multiplied by each number separately, the product so obtained are 247 and 114. The sun of the numbers is
(A) 19 (B) 20
(C) 21 (D) 23
9. Find a number, one-seventh of which exceeds its eleventh part by 100.
(A) 1925 (B) 1825
(C) √1540 (D) 1340
10. If x * y =(x + 3)2 (y – 1), then the value of 5 * 4 is
(A) 192 (B) 182
(C) 180 (D) 172
11.
(0.05)2+ (0.41)2+ (0.073)2
(0.005)2 + (0.041)2 (0.073)2
(A) 10 (B) 100
(C) 1000 (D) None of these
12. If 9√x= √12+ √147 , then x = ?
(A) 2 (B) 3
(C) 4 (D) 5
13. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in
(1) 4 days (2) 5 days
(3) 6 days (4) 7 days
14. X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Then the time in which they can complete the work together is
(1) 15 days (2) 10 days
(3) 71⁄2 days (4) 5 days
15. A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is (Take π= 22/7 )
(A) 16 (B) 14
(C) 10 (D) 7
16. The volume (in m3) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is
(A) 75 (B) 750
(C) 7500 (D) 75000
17. A river 3 m deep and 40 m wide is following at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minute?
(A) 4,00,000 (B) 40,00,000
(C) 40,000 (D) 4,000
18. The L.C.M. of three different numbers is 120. Which of the following cannot he their H.C.F.?
(A) 8 (B) 12
(C) 24 (D) 35
19. A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as
(A) 4 (B) 3
(C) 2 (D) 5
20. In an examination a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is
(A) 35 (B) 40
(C) 42 (D) 46
21. The traffic lights at three different road crossing change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 00 AM, then at what time will they again change simultaneously?
(A) 10 : 16 : 54 AM (B) 10 : 18 : 36 AM
(C) 10 : 17 : 02 AM (D) 10 : 22 : 12 AM
22. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
(A) 6 days (B) 12 days
(C) 4 days (D) 8 days
23. Among three numbers, the first is twice the second and thrice and third. If the average of the three numbers is 49.5, then the difference between the first and the third number is
(A) 54 (B) 28
(C) 39.5 (D) 41.5
24. The mean of 50 numbers is 30. Later it was discovered that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean.
(A) 36.12 (B) 30.66
(C) 29.28 (D) 38.21
25. A bicycle wheel marks 5000 revolutions in moving 11 km. Them the radius of the wheel (in cm) is (Take π= 22/7)
(A) 70 (B) 35
(C) 17.5 (D) 140
26. The perimeter of a triangle is 40 cm and its area is 60 cm2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is
(A) 4 (B) 6
(C) 8 (D) 15
27. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of the article which costs Rs. 450
(A) Rs. 600 (B) Rs. 540
(C) Rs. 660 (D) Rs. 580
28. What single discount is equivalent to two successive discounts of 20% and 15%?
(A) 35% (B) 32%
(C) 34% (D) 30%
29. In a business partnership among A, B, C and D, the profit is shared as follows:
A's share = B's share = C's share = 1
B'share C'share D'share 3
If the total profit is Rs. 4,00,000, the share of C is
(A) Rs. 1,12,500 (B) Rs. 1,37,500
(C) Rs. 90,000 (D) Rs. 2,70,000
30. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Liters of liquid A contained by the can initially was
(A) 10 (B) 20
(C) 21 (D) 25
31. What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2?
(A) 5 is subtracted (B) 10 is added
(C) 7 is added (D) 10 is subtracted
32. The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saved Rs. 200 per week, then the sum of their weekly incomes is
(A) Rs. 3,600 (B) Rs. 4,200
(C) Rs. 4,800 (D) Rs. 5,600
33. If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?
(A) 30% (B) 40%
(C) 70% (D) 75%
34. A man can row 6km/h in still water. If the speed of the current is 2 km/h, it takes 3 hours more in upstream than in the downstream for the same distance. The distance is
(A) 30 km (B) 24 km
(C) 20 km (D) 32 km
35. If the selling price of 10 articles is equal to the cost price of 11 articles, then the gain percent is
(A) 10 (B) 11
(C) 15 (D) 25
36. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit. What is the marked price of the watch?
(A) Rs. 1,250 (B) Rs. 1,400
(C) Rs. 1,500 (D) Rs. 750
37. Krishna purchased a number of articles at Rs. 10 for each and the same number for Rs. 14 each. He mixed then together and sold them for Rs. 13 each. Then his gain or loss percent is
(A) Loss 81⁄3
(B) Gain 82⁄3
(C) Loss 82⁄3
(D) Gain 81⁄3
38. A trader bought two horses for Rs. 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively
(A) Rs. 10,000 and Rs. 9,500
(B) Rs. 11,000 and Rs. 8,000
(C) Rs. 12,000 and Rs. 7,500
(D) Rs. 10,500 and Rs. 9,000
39. The cost price of an article is 40% of the selling price. What percent of the cost prices is the selling price?
(A) 140% (B) 200%
(C) 220% (D) 250%
40. If 90% of A = 30% of B and B = 2x% of A then the value of x is
(A) 450 (B) 400
(C) 300 (D) 150
41. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Then the original price of sugar per kg is
(A) Rs. 25 (B) Rs. 30
(C) Rs. 27 (D) Rs. 32
42. If the price of sugar is raised by 25%, find by how much percent a householder must reduce his consumption of sugar so as not to increase his expenditure?
(A) 10 (B) 20
(C) 18 (D) 25
43. The difference between the compound interest and simple interest on Rs. 10,000 for 2 years is Rs. 25. The rate of interest per annum is
(A) 5% (B) 7%
(C) 10% (D) 12%
44. A student goes to school at the rate of 21⁄2 km/h and reaches 6 minutes late. If he travels at the speed of 3 km/h, he is 10 minutes early. The distance (in km) between the school and his house is
(A) 5 (B) 4
(C) 3 (D) 1
45. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself?
(A) 12 years (B) 13 years
(C) 8 years (D) 16 years
46. The simple interest on a sum of 5 years is one-fourth of the sum. The rate of interest per annum is
(A) 5% (B) 6%
(C) 4% (D) 8%
Directions: (Question No. 47 to 150). The following graph shows the demand and production of cotton by 5 companies A, B, C, D and E. Study the graph and answer question 47 to 50.
47. The production of company D is how many times that of the production of the company A?
(A) 1.8 (B) 1.5
(C) 0.5 (D) 0.4
48. The demand for company B is what percent of the demand?
(A) 1.5 (B) 2.5
(C) 25 (D) 30
49. What is the ratio of companies having more demand than production to those having more production than demand?
(A) 2 : 3 (B) 4 : 1
(C) 3 : 2 (D) 1 : 4
50. What is the difference (in tonnes) between average demand and average production of the five companies taken together?
(A) 320 (B) 420
(C) 2100 (D) 1050
3 √2 - 4 √3 + √6
√3+ √6 √6+ √2 √3+ √2
is
(A) 4 (B) 0
(C) √2 (D) 3 √6
2. √(6+√( 6+ √(6+...))) = ?
(A) 2.3 (B) 3
(C) 6 (D) 6.3
3. The square root of
√3+ √2
√3- √2 is
(A) √3+ √2 (B) √3- √2
(C) √2± √3 (D) √2- √3
4. The remainder when 321 is divided by 5 is
(A) 1 (B) 2
(C) 3 (D) 4
5. The value of
21⁄3 - 12⁄11
3+ 1
3+ 1
3+ 1
3
is
(A) 38/109 (B) 109/38
(C) 1 (D) 116/109
6. The last digit of (1001)2008 + 1002 is
(A) 0 (B) 3
(C) 4 (D) 6
7. 3 √(1 - 127/343) is equal to
(A) 5/9 (B)1- 1/7
(C) 4/7 (D) 1- 2/7
8. If the sun of two numbers be multiplied by each number separately, the product so obtained are 247 and 114. The sun of the numbers is
(A) 19 (B) 20
(C) 21 (D) 23
9. Find a number, one-seventh of which exceeds its eleventh part by 100.
(A) 1925 (B) 1825
(C) √1540 (D) 1340
10. If x * y =(x + 3)2 (y – 1), then the value of 5 * 4 is
(A) 192 (B) 182
(C) 180 (D) 172
11.
(0.05)2+ (0.41)2+ (0.073)2
(0.005)2 + (0.041)2 (0.073)2
(A) 10 (B) 100
(C) 1000 (D) None of these
12. If 9√x= √12+ √147 , then x = ?
(A) 2 (B) 3
(C) 4 (D) 5
13. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in
(1) 4 days (2) 5 days
(3) 6 days (4) 7 days
14. X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Then the time in which they can complete the work together is
(1) 15 days (2) 10 days
(3) 71⁄2 days (4) 5 days
15. A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is (Take π= 22/7 )
(A) 16 (B) 14
(C) 10 (D) 7
16. The volume (in m3) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is
(A) 75 (B) 750
(C) 7500 (D) 75000
17. A river 3 m deep and 40 m wide is following at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minute?
(A) 4,00,000 (B) 40,00,000
(C) 40,000 (D) 4,000
18. The L.C.M. of three different numbers is 120. Which of the following cannot he their H.C.F.?
(A) 8 (B) 12
(C) 24 (D) 35
19. A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as
(A) 4 (B) 3
(C) 2 (D) 5
20. In an examination a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is
(A) 35 (B) 40
(C) 42 (D) 46
21. The traffic lights at three different road crossing change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 00 AM, then at what time will they again change simultaneously?
(A) 10 : 16 : 54 AM (B) 10 : 18 : 36 AM
(C) 10 : 17 : 02 AM (D) 10 : 22 : 12 AM
22. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
(A) 6 days (B) 12 days
(C) 4 days (D) 8 days
23. Among three numbers, the first is twice the second and thrice and third. If the average of the three numbers is 49.5, then the difference between the first and the third number is
(A) 54 (B) 28
(C) 39.5 (D) 41.5
24. The mean of 50 numbers is 30. Later it was discovered that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean.
(A) 36.12 (B) 30.66
(C) 29.28 (D) 38.21
25. A bicycle wheel marks 5000 revolutions in moving 11 km. Them the radius of the wheel (in cm) is (Take π= 22/7)
(A) 70 (B) 35
(C) 17.5 (D) 140
26. The perimeter of a triangle is 40 cm and its area is 60 cm2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is
(A) 4 (B) 6
(C) 8 (D) 15
27. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of the article which costs Rs. 450
(A) Rs. 600 (B) Rs. 540
(C) Rs. 660 (D) Rs. 580
28. What single discount is equivalent to two successive discounts of 20% and 15%?
(A) 35% (B) 32%
(C) 34% (D) 30%
29. In a business partnership among A, B, C and D, the profit is shared as follows:
A's share = B's share = C's share = 1
B'share C'share D'share 3
If the total profit is Rs. 4,00,000, the share of C is
(A) Rs. 1,12,500 (B) Rs. 1,37,500
(C) Rs. 90,000 (D) Rs. 2,70,000
30. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Liters of liquid A contained by the can initially was
(A) 10 (B) 20
(C) 21 (D) 25
31. What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2?
(A) 5 is subtracted (B) 10 is added
(C) 7 is added (D) 10 is subtracted
32. The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saved Rs. 200 per week, then the sum of their weekly incomes is
(A) Rs. 3,600 (B) Rs. 4,200
(C) Rs. 4,800 (D) Rs. 5,600
33. If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?
(A) 30% (B) 40%
(C) 70% (D) 75%
34. A man can row 6km/h in still water. If the speed of the current is 2 km/h, it takes 3 hours more in upstream than in the downstream for the same distance. The distance is
(A) 30 km (B) 24 km
(C) 20 km (D) 32 km
35. If the selling price of 10 articles is equal to the cost price of 11 articles, then the gain percent is
(A) 10 (B) 11
(C) 15 (D) 25
36. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit. What is the marked price of the watch?
(A) Rs. 1,250 (B) Rs. 1,400
(C) Rs. 1,500 (D) Rs. 750
37. Krishna purchased a number of articles at Rs. 10 for each and the same number for Rs. 14 each. He mixed then together and sold them for Rs. 13 each. Then his gain or loss percent is
(A) Loss 81⁄3
(B) Gain 82⁄3
(C) Loss 82⁄3
(D) Gain 81⁄3
38. A trader bought two horses for Rs. 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively
(A) Rs. 10,000 and Rs. 9,500
(B) Rs. 11,000 and Rs. 8,000
(C) Rs. 12,000 and Rs. 7,500
(D) Rs. 10,500 and Rs. 9,000
39. The cost price of an article is 40% of the selling price. What percent of the cost prices is the selling price?
(A) 140% (B) 200%
(C) 220% (D) 250%
40. If 90% of A = 30% of B and B = 2x% of A then the value of x is
(A) 450 (B) 400
(C) 300 (D) 150
41. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Then the original price of sugar per kg is
(A) Rs. 25 (B) Rs. 30
(C) Rs. 27 (D) Rs. 32
42. If the price of sugar is raised by 25%, find by how much percent a householder must reduce his consumption of sugar so as not to increase his expenditure?
(A) 10 (B) 20
(C) 18 (D) 25
43. The difference between the compound interest and simple interest on Rs. 10,000 for 2 years is Rs. 25. The rate of interest per annum is
(A) 5% (B) 7%
(C) 10% (D) 12%
44. A student goes to school at the rate of 21⁄2 km/h and reaches 6 minutes late. If he travels at the speed of 3 km/h, he is 10 minutes early. The distance (in km) between the school and his house is
(A) 5 (B) 4
(C) 3 (D) 1
45. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself?
(A) 12 years (B) 13 years
(C) 8 years (D) 16 years
46. The simple interest on a sum of 5 years is one-fourth of the sum. The rate of interest per annum is
(A) 5% (B) 6%
(C) 4% (D) 8%
Directions: (Question No. 47 to 150). The following graph shows the demand and production of cotton by 5 companies A, B, C, D and E. Study the graph and answer question 47 to 50.
47. The production of company D is how many times that of the production of the company A?
(A) 1.8 (B) 1.5
(C) 0.5 (D) 0.4
48. The demand for company B is what percent of the demand?
(A) 1.5 (B) 2.5
(C) 25 (D) 30
49. What is the ratio of companies having more demand than production to those having more production than demand?
(A) 2 : 3 (B) 4 : 1
(C) 3 : 2 (D) 1 : 4
50. What is the difference (in tonnes) between average demand and average production of the five companies taken together?
(A) 320 (B) 420
(C) 2100 (D) 1050
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