west Bengal police math

1) The mixture of water and sugar in a glass has ratio sugar:water = 2:7 and the ratio in another glass of same mixture is 3:11 , Which is sweeter?

2) The least number which being subtracted from 70031 will make the
remainder divisibly by 9 is

3) The simplified value of 1.2+ (12)²+(12)³ is

4) 42 oranges are distributed among some boys and girls. if each boy gets 3 then each girl get 6 while each boy gets 5 then each girl gets 3. The number of girls is

5) Find the least number of candidates in an examination so that the

percentage of successful candidates should be 76.8%.

6) Two numbers whose G.C.M.is 20 are in the ratio 3:4. Their sum is

7) Average age of A and B is 9 years 4 months and that of Band C is 4 years 8months. How many years A is older than C?

8) Find the number between 400 and 500 which is divisible 12, 16,and 24

9) Find the least number which being added to 2866 will make the sum divisible by 13

10) Two pipes can fill a tank in 12 hours and 10 hours respectively and a third pipe can empty in 20 hours, if all the pipes are opened together, then the tank will be filled in

11) A man deposited Rs.2400 in a Bank at a simple interest of 5%per annum. If he wants to purchase an article of price Rs. 3000, how many years he is to wait?

12) Find the greatest and least of √6+√5, √3+2√2, √2+3

13) What-sum of money is to be divided among 3 men in the ratio 3:45 so

that the third man receives Rs. 10 only.

14) The value of 0.12% of Rs. 180 is

15)

16) Express Rs. 25 as percentage of Rs. 75

17) The ratio of the sides of a triangle is 3 :4:5 and its perimeter is 96 metres. Find the area of the triangle in sq. metres

18) By selling an article for Rs 120 a person loses 20%. If the article is sold for Rs 180, What is the gain or loss % ?

19) Find the sum 5.3+3.25+12.1

20) Among the following statements the correct

√5+√3>2√

21) A hawker purchased oranges at the rate of 4 oranges in a rupee, but

he sells at the rate of 5 oranges ina rupee. His loss is

22) A person purchased a T.V. 20%less than the market price and sells it

at 20% more than the market price. What is his percentage profit?

23) The value of (1+√2+√3) – 2√3 – 2√6 – 2√2 is

24) Divide Rs. 350 among A, B and C so that A’s share: B’s share =2:3 and B’s share: C’s share =4:5

25)

26) 10 years before father’s age was 4⅓ time his son’s age,10 years after father’s age will be 2(3/7) time son’s age. Find the sum of the age of the father and son at present.

27) A tank is filled up by a pipe A in 5 minutes while it is emptied by a pipe
B in 10 minutes. When the tank is half-filled up two pipes are opened
simultaneously. Find the time required so that ¾th of the tank is filled up

28) If A :B=2:3, B:C=5:4 and C:D=7:8, then A:D is

29) A square garden has fourteen posts along each side at equal interval

Find how many ma posts are there in all four sides.

30) The average of 11 number is 10.9 . If the average of first six is 10.5 and that of the last six is 11.4 the 6th number is

31) The least number that must be subtracted from 3000 will make the result divisible by 7, 11 and 13

32) The simplified value of 1.1 +(1.1)² +(1.1)³ is

33) If 20% of A =30% of B =1/6th of C, then A:B:C is

34) The least number divisible by any integer between 1 and 9 is

35) Find the H.C.F and L.C.M of  1½ , 3/4 and 9/16

36) Find the greatest prime factor of 2431……

37) The Square root of the square root of 0.00000001 is

38) There are 30 students in a class. The average age of first 20 students is

11.2years and that of next 10 students is 12.7 years.The average age(in

years)of the students of whole class is

39) 35% of 135 is 45% of x. Then x is

40) How long will a boy take to run round a square field of side 35 metres, if

he runs at the rate of 9 km/hr?

41) Product of two numbers is 1575 and their quotient is 7. What are the numbers?

42) A number is increased consecutively two times by 20% each. The

original number is actually increased by

43) 83÷7.5

_____________

2.321 – .098

44) Two identical bottles A and B of sweet drinks contain sugar such that 30% of sugar in A is equal to 40% sugar in B. The ratio of sugar in the two bottles is

45) Find a number which when multiplied by 13 is increased by 180

46) A number when decreased by 10% becomes 30. Find the number…..

47) A railway train travels 66 km in 1½ hrs . Its speed in metre/min is

48) The sum of the ages of the father and son after 6 years will be 44 . At present the sum is

49) The ratio of daily wages of two Workers is 4: 3 and one gets daily Rs

9 more than the other, what are their daily wages?

50) 25% of number is added to 30% of 150. If the result is 75, then the number is

51) A train runs with a speed of 50km/hr and a car moves along the opposite direction with a speed of 0.5km/min. Their relative velocity is

52)

53) 2.The product of any four consecutive odd natural numbers increased by a number K is a perfect square. The value of K is

54) The greatest two digit number whose square root is an integer

55) Ram, Rahim and Ratan invested Rs, 5000, Rs. 4000 and Rs. 3000

respectively in a business.Ratan earns Rs. 200 p.m. for its supervision. If

the total profit is Rs. 8400, then the total income of Ratan is

56) If n is an integer, then (n-3)²-n² is always divisible by

57)

58) The sum ofthe ages of the fatherand his son before 5 years is 44. The
sum of their present age is

59) A seller sells a radio with a profit of 5%.He earns 8% profit if it is sold
at a price or Rs. 24 more. The purchase price is

60) The average of the first four of five numbers is 40 and that of the last four numbers is 60.The difference of the last and the first number is

61) The greatest prime number of two digit is

62) The ratio of ages of two persons is 4:7 and one is 30 years older than the  other. Find the sum of their ages.

63) Find the maximum number of trees which can be planted 20 metres apart on the two sides of a straight road 1760 metres long.

64) Two mixtures contain milk and water in the ratio 5:4 and 2:1 . Equal volumes of the mixtures are mixed together. The ratio of milk is to water in the resulting mixture is

65) A train moving with a speed of 54 km/hr. crosses 270 metre bridge in
30 seconds. Find the length of the train.

66) The simplified value of  1.29×1.29×1.29+2.71×2.71×2.71+12×1.29×2.71 is

67) The average of the first four of five numbers is 26 that of the last four is
25. The difference of the first and last number is

68) 4 men prepares 4 mats in 4 days. How many mats can be prepared by 200 men in 200 days ?

69) A man travelled of his journey by car, by rail, and walked the remaining 1 km. how far dis he go  ?

70) A box contains 384 coins. in it the ratio of 1 rupee coins, 50 paise coins and 25 paise coin is 2:3:7 the total value of the coin in the box is

71) The sum of all the number of 3 digits which can be formed by the digits 3, 0, 4 is…

72) A man retired from his service at the age of 60. He served for 3/5th

years of his retirement age. He joined his job at the age of

73) The value of {(.87)³ +(13)³ +/.87 × .39)}^0.5 is

74) A,B and C started a partnership business paying the capital amount of Rs. 6500, Rs.9100 and Rs. 5200 respectively. They equality distributed among themselves the two-third of the total sum of profit Rs. 14400 and each took the share of the remaining amount of profit in the ratio of the capital amount each had paid. what was the sum of money each partner received?

75) 50 men do a work in 12 days working 6 hours per day. If 60 men want to complete the double of the above work in 8 days, how many hours per day is to be worked by each man ?

76) In a class 42% of the total strength reads English, 36% reads Mathematics and 15% reads both the subjects. The percentage of students who study neither English nor Mathematics is

77) The ratio of boys and girls of a schoolwith 504 students is 13:11. What will be the new ratio if 12 girls leave?

78) A man bought a horse and a carriage for rupees 500 and sold the horse at a gain of 20% and the carriage at a loss of 10%, thus gaining 2% on his outlay. For how much was the horse bought  ?

79) A general having 11025 men under him, arranges them into a solid squad. The number of men in the front row is

81) A man joined in his service at the age of 24 years and died during his service period. If he served for 4/7th of his life time, then he lived

82) The average of 8 numbers is 24 and the average of another 24 numbers is 8.The average of all the numbers is

83) If x is any positve intergerthen x(x+1)(2x+1)is always divisible by

84)

85) The first July of 1995 was the Saturday. The 1st April of 1996 was a

86) A garrison of 1600 men is provisioned for 60 days. after 15 days 6 month leave the garrison . the remaining provisions will last for

87) The sum and difference of two numbers 9⅝ and 4⅜ are respectively and find their product.

88) If x <5, which one is true?  

89) The greatest number lying between 200 and 300, which when divided
by 6, 8, and 9, leaves a remainder 5 in each case.

90) A bucket half filed with water wrights 70 kg. When it’s ¼th is empty, I weights 80 kg. Find the weight of the bucket when its ⅖th is filled with water

91) A did ¾th of a piece of work in 18days. B who is twice as good a workman
as A, completed the work. B worked for……

92) An alloy contains zínc and copper in the ratio 5:3.The quantity of zinc to

be mixed with 16 kg of the alloy so that the ratio will be 2:1 is

93) 280 oranges were divided among 50 boys and girls so that each boy gets 5 organges and each girl  7 oranges. The number of girls is….

94) The numbers which divide 80 in such a way that the sum of their reciprocals is 4/75 are

95) A bag contain some 5 Re coins and 10 Re. coins. if the total number of coin is 80 and the total is Rs. 600, the number of 10 Re. coins is

96) Find the least integer when added to 512makes it a perfect square.

97) Find the sum of prime factors of 561.

98) The difference of the greatest and the least numbers of four digits formed by 8,0,0,3 is

99) If A :B=3:4, C:B=5:4, C:D=10:9, then A:B:C:D is

100) Ifthere is aloss of 12½% to sell a cycle, the ratio of the purchase price
and selling price is

101) The ratio of two numbers is 5:7 and their difference is 60, find the
numbers,

102) A man donated Rs 2000 from his savings of Rs 12755 to a school and the rest was distributed among his wife son and daughter in ratio 6:5:4 . The wife gets

103) An alloy of zinc and copper contains the metals in the ratio 5:3.The

quantity of zinc to be added to 16 kg.of the alloy so that the ratio of the

metal may be 3:1 is

104) The greatest of the numbers 0.16, √0.16, (0.16)² and 0.16 is

105) Find the square root of 5/80

106) A and B can do a piece of work in 30 days, which B and C can do in 40 days. If C alone can do the work in 60 days, in how many days A alone will do the same work ?

107) Two positive numbers are in the ratio 4:5 and their product is 1620.
The greater of the number is

108) The sum of the series 2+4+6+….+50 is

109) A’s salary is 20% lower than B’s salary. How much percent is B’s salary higher than A’s ?

110) Rs. 5625 is divided among A,B and C in such a way that A gets half of B and C while B gets ¼th of A and C.How much A gets more than B ?

111) If a/2=b/5=c/8 then the value of (a-b-c)/b is

112) The least number that must be added to the least number of 5 digit so that the sum maybe exactly divisible by 6,8, 10 and 15 is

113) A businessman purchased 35 kg dal of Rs. 525 and sells it at the rate of Rs. 18 per kg. Then the rate of profit or loss is

114) The sum and the difference and the two numbers are 135 and 21 respectively. The difference of their square is

115) Which one is correct?

116) Acistern is Ced with water by an inlet pipe in 20 mins, While it becomes
empty in 30mins. by an outer. If both areopened simultaneously,the
cistern is filled in

117) A number is divided by 56 and a reminder 29 is left. when the same number is divided by 8, the reminder is

118) Find the ratio of purchase price and the sell price sothat their is 16⅔% profit

119)

120) A and B togethercomplete a work in 3 days. After two days of their work leaves and the work is completed in next twO days. In how many days B alone completes the work?

121) To equal some of money where invested one at 4% and other at 4½% at the end of 6 years, the simple interest received from the latter exceeded that received from the former by Rs 21. Each sum was

122) The volume is increased by 10% when water is freezed to ice. if melted then it volume is decreased by

123) The ratio of the purchase price and selling price is 4: 5. The net profit is….

124) 30% of A=.25 of B=⅕th of C, then A:B:C is

125)