JEXPO 2013 Last Minutes Suggestion | WBCS 2014 Preliminary Suggestion

JEXPO 2013 Last Minutes Suggestion | WBCS 2014 Preliminary Suggestion

Mathematics

Go to Section : HCF and LCM | Square root and Cube Root | Percentage | Average | Ratio and Proportion | Partnership | Profit and Loss | Time and Work

SECTION : HCF and LCM

1. H.C.F of 1/2,3/4,5/6,9/10 is: Ans : 1/120 [Formullea: H.C.F of Friction =(H.C.F of Numerators)/(L.C.M of Denominators).]

2. L.C.M of 2/3,4/9,5/6 and 7/12 is: Ans: 140/3 [Formullea: L.C.M of Friction =(L.C.M of Numerators)/(H.C.F of Denominators).]

3. The sum of two numbers is 216 and their H.C.F is 27. The numbers are: Ans: 27,189 [Hints: Let the numbers are 27a and 27b. There for, 27a+27b=216, a+b=8, now 8 can be elaburated by two prime number, (1,7) or (3,5). so, the number is 1x27=27 and 7x27=189 ]

4. Three different containers different qualiries of mixtures of milk and water, whose measurements are 403 Kg, 434 kg and 465 kg. What biggest measure must be there to measure all the different quantities exactly: Ans: 31 kg. [Hints: Find the H.C.F of 403,434,465]

5. The H.C.F and L.C.M of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is: Ans: 132 [Hints: First Number is 2x44=88. Second Number= H.C.F X L.C.M / First Number=44 x 264 / 88=132]

Section : Square root and Cube Root

6. The least perfect square bumber divisible by 3,4,5,6,8 is : Ans: 3600 [Hints: L.C.M of 3,4,5,6,8=120=2x2x2x3x5 (three 2's, one 3 and one 5); To make it a perfect square you have to multiply 2x3x5=30. So the answer is 120 x 30= 3600 ]

7. By what least number must 21600 be multiplied to make it a perfect cube: Ans: 10 [Hints: 21600=6x6x6x10x10, so you need another 10 to make it perfect cube]

8. A general wishes to draw up his 36562 solders in the form of a solid square. After arranging them, he found that some of them are left over. How many are left? Ans: 81 [Hints: Find out the square root of 36562. You can see that 81 solders are extra.]

9. The least number by which 216 must be divided to make the result a perfect square: Ans: 6 [Hints: 216=6X6X6; So make it perfect square you have to divided it by 6 ]

10. A group of students decided to collect as many paise from each member of the group as is the number of mmbers. If the total collection amounts to Rs. 22.09, the number of members in the group is: Ans: 47 [Hints: Rs. 22.09= 2209 paise; 2209=47X47; So the number of members is 47]

Section: Percentage

11. x% of y + y% of x is equal to : Ans: 2% of xy

12. If 90% of A=30% of B and B=x% of A, then value of x is: Ans: 300

13. A man donated 5% of his income to a charitable organisation and deposited 20% of the remainder in a bank. If he now has Rs. 1919 left, what is his income? Ans: Rs. 2525

14. After spending 40% in machinery, 25% in building, 15% in raw material and 5% on furniture, Kuntol had a balance of Rs. 1305. The monsy with him was? Ans: Rs. 8700/-

15. If 70% of the students in a school are boys and the number of girls be 504, the number of boys is: Ans: 1176

16. In an election between two candidates, the candidate whogets 30% of the votes polled is defeated by 15000 votes. The number of votes polled by the winning candidates is: Ans: 26250

17. The value of a machine depreciates 10% annually. If its present value is Rs. 4000, its value 2 years hence will be Ans: Rs. 3240 [Hints: P(1-r/100)^n; where r=percentage of depreciation and n=number of years]

18. If A's salary is 30% less than B's salary, then how much percent is B's salary more than that of A? Ans: 42.85%

19. If the price of sugar falls down by 10%, by how much percent must a householder increase its consumption, so as not to decrease expenditure on this item ? Ans: 11.11% [Hints: Increase in consumption= [r*100/(100-r)]%, here r=10]

20. A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this so that water may be 20% in the new mixture? Ans: 5 liters

Section: Average

21. The average of three numbers is 42. The first is twice the second and the second is twice the third. The diffrence between the largest and the smallest number is: Ans: 18

22. The average score of a cricketer in 2 matches is 27 and in 3 others is 32. Then his average score in 5 matches is: Ans: 30

23. In a class there are 20 boys whose average age is decreased by 2 months, whene one boy aged 18 years is replaced by a new boy. The age of the new boy is Ans: 14 years 8 months

24. The average of 5 consecutive numbers is n. If the next two numbers are also included, the average of 7 numbers will: Ans: increase by 1, i.e. (n+1)

25. The average temperature of Monday, Tesday, Wenesday and Thursday was 38 degree and that of Tuesday, Wenesday, Thursday and Friday was 40 degree. If the temprature on Monday was 30 degree, the temperature of Friday was : Ans: 38 degree

Section : Ratio and Proportion

26. If a:b=2:3 and b:c=5:7, find a:b:c Ans: 10:15:21

27. The weight of a 13 m long iron rod is 23 kg. The weight of 6 m long of such rod will be : Ans: 10.8 kg

28. The student in three classes are in the ratio 2:3:5. If 20 students are increased in each class, the ratio changes to 4:5:7. The total number of students before the increase were? Ans: 100 [Hints: Let, number of students be 2x,3x,5x. So, 2x+20:3x+20:5x+20=4:5:7 or (2x+20)/4=(3x+20)/5=(5x+20)/7 or x=10; total student=2x+3x+5x=10x=10x10=100]

29. The prices of a schooter and a television set are in the ratio 3:2. If a scooter costs Rs. 6000 more that the television set, the price of the television set is: Ans: Rs. 12000

30. if a:b=c:d, then (ma+nc)/(mb+nd) is equal to : Ans: a:b

Section: Partnership

31. Jayanta started a business, investing Rs. 6000, Six months later Madhu joined him, investing Rs. 4000. If they made a profit of Rs. 5200 at the end of the year, how much must be the share of Madhu? Ans: Rs. 1300

32. A,B and C invest Rs. 2000, Rs. 3000 and Rs. 4000 in a business. After one year, A removed his money but B and C continued for one more year. If the net profit after 2 years be Rs. 3200, then A's share in the profit is: Ans: Rs. 400

33. A,B and C enter into partnership by making investments in the ratio 3:5:7. After a year C invests another Rs. 337600 while A withdrew Rs. 45600. The ratio of investments then changes to 24:59:167. How much did A invest initially? Ans: Rs. 141600

34. A and B start a business with initial investments in the ratio 12:11 and their annual profits were in the ratio 4:1. If A invested the money for 11 months, B invested money for: Ans: 3 Months

35. A and B started a joint firm. A's investment was thrice the investment of B and the period of his investment was two times the period of B. If B got Rs. 4000 as profit, then total profit is: Ans: Rs. 28000

Section : Profit and Loss

36. 2 chairs and 1 table cost Rs. 640, while 1 chare and 2 tables cost Rs. 740. Find the cost of each? Ans: Chair=RS. 180 and Table= Rs. 280

37. A vendor sells 5 lemons for a rupee, gaining thereby 40%. How many did he buy for a rupee? Ans: 7 lemons

38. A man sold an article for Rs. 161, gaining 1/6th of his outlay. Find the cost Price of the article? Ans: Rs. 138

39. The C.P of an article is 40% of S.P. The percent that the S.P. is of C.P. is ? Ans: 250

40. A man sold two houses for Rs. 7.81 lakhs each. On one he gained 5% and on the other he lost 5%. What percent is the effect of the sale on whole? Ans: 0.25% loss

41. A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in Ans: loss of Rs. 1000

42. A man sells a car to his friend at 10% loss. If the friend sells it for Rs. 54000 and gains 20%, the original C.P. of the car was? Ans: Rs. 50000

43. A discount series of 10%,20% and 40% is equal to a single discount of : Ans: 56.8%

44. An umbrella marked at Rs. 80 and sold for Rs. 68. The rate of discount is ? Ans: 15%

45. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is? Ans: Rs. 750

Section: Time and Work

46. A can do a piece of work in 25 days, which B alone can finish in 20 days. Both together work for 5 days and then A leaves off. How many days will B take finish the remaining work/ Ans: 11 days

47. A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days A alone do it? Ans : 60 days

48. 12 men can complete a work in 8 days. Three days after they started the work 3 more men joined them. In how many days will all of them together complete the remaining work ? Ans: 4 days

49. 12 men or 18 women can reap a field in 14 days. The number of days that 8 men and 16 women will take to reap it, is? Ans: 9 days

50. 3 men and 4 boys do a piece of work in 8 days, while 4 men and 4 boys finish it in 6 days. 2 men and 4 boys will finish it in ? Ans: 12 days

Top

© Engg. Suman Biswas B.Tech (I.T)