## Arithmetic - 2014

**1. It the length of a rectangle is increased by 8 m its area increases by 72 sq.m. The breadth of the rectangle is **

(a) 8 m (b) 12 m **(c) 9 m **(d) can not be concluded from the given data

**2. Ratio of principal and yearly amount is 16:17. The rate of interest per annum is **

(a) 12 ½ % **(b) 6 ¼% **(c) 5 5 17 ⁄ % (d) 10%

**3. Ratio of cost price and selling price is 5 : 4. Then find the% of loss.**

(a) 15% **(b) 20% **(c) 25% (d) 11 ½%

**4. Area of a rectangle is 24 cm²? and perimeter 20 can. then length of diagonal is**

(a) 2√7 (b) 2√11 **(c) 2√13** (d) 2√17

**5. A=2P, B=A+3, C=B+3 The average of A, B and C is **

(a) p+3 (b) 2p+1** (c) 2p+3** (d) 3p+6

**6. 300 apples are distributed among AB and C in such a way that three times of the number received by A may be equal to four times of B and 9 times that of C. The number of apples received by B is ****( a) 108** (b) 100 (c) 104 (d) 118

**7. If the sum of two numbers is 30 and their mean proportional is 13, then the numbers are**

(a) 35, 15 (b) 25, 25 (c) 40, 10 **(d) 45, 5 **

**8. Rs. 15000 being the worth of 0.25 part of a property, the worth of 0.03×0.5 part of the same property is (in Rs.) **

(a) 9000 (b) 2250 (c) 1500 **(d) 900**

**9. A number is as much greater than 21 as is less than 71. The number is **

(a) 41 (b) 39 (c) 49 **(d) 46 **

**10. Find the principal, if the interest is Rs. 180 per year @ 5% per annum **

(a) 3000 (b) 3500 **(c) 3600** (d) 4000

**11. Rahul. Rohit and Rawnak enter into a partnership business with investments of Rs.3500, Rs.4500 and Rs.5500.1f the first & months profit is Rs.405 then share of Rahul in the profit will be **

(a) Rs. 200 **(b) Rs. 105** (c) Rs. 250 (d) Rs. 150

**12. In a partnership business, 3/4th of A’s capital, 0.25 of B’s capital and 30% of C’s capital are equal. Share of profit of B in a total profit of Rs.52.000 is **

(a) Rs. 8000 (b) Rs. 24,000 (c) Rs. 30,000 (d) Rs. 20,000

**13. Ratio of Cost price and selling price 1s 10:11, then profit percentage is ****(a) 5% **(b) 10% (c) 11% (d) 20%

**14. In an examination 65% of the total number of examinees passed. If the number of failures 1s 17% more than the number of candidates not appearing in the examination then total number of passed candidates is **

(a) 620 (b) 310 (c) 106 (d) 403

**15. 12 persons take 9 days to prepare 18 windows. The no. of days required by 54 persons to prepare 45 windows.**

(a) 1 **(b) 5 **(c) 3 (d) 10

**16. A rectangular field has an area of 864 sq.m. One of its side is 24m. The ratio of its length and breadth is**

(a) 6 : 5** (b) 3 : 2** (c) 4 : 3 (d) 9 : 5

**16. If in “y” years Rs.z is obtained as simple interest @ x% per annum, then the principal 1s**

(a) Rs. 100x/yz (b) Rs. 100yz/x (c) Rs. xyz **(d) Rs. 100z/xy**

**17.If the area of the four walls of a room is 88 sq. m. and the perimeter of its floor 1s 22 m. then the height of the room is (in m.) **

(a) 5 **(b) 4** (c) 4.5 (d) 8

**18. Rs.570 are to be divided among A, B and C so that their shares are in the ratio 1/3:1/5:1/10. The respective share of B is ****(a) Rs. 180** (b) Rs. 300 (c) Rs. 90 (d) Rs. 120

**19. If the ratio of the areas of two squares is 4:9, then the ratio of their perimeters is**

**(a) 2 : 3 **(b) 1 : 2√3 (c) √2 ∶ √6 (d) 3√2 ∶ 1

**20. Average age of three brothers and their father is 18 years. Average age of these three brothers and their mother is 16 years. Mother’s age is 34 years. The age of the father is**

**(a) 42 years** (b) 39 years (c) 40 years (d) 38 years

**21. The average of the least and the greatest prime number of two digits is ****(a) 54** (b) 55 (c) 54.5 (d) 55.5

**22. The price of oil is increased by 20%. I the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is**

**(a) 1 : 6** (b) 6 : 1 (c) 5 : 1 (d) 1 : 5

**23. The ratio between the present age of A and B is 4:5. if the difference between their age is 8 years. Then sum of their personal age is **

(a) 35 years (b) 40 years (c) 65 years **(d) 72 years **

**24. If H.C.F. of a and b be c, then L.C.M. will be –**

**(a) abc **(b) ab/c (c) ac/b (d) c/ab

**25. When a number is divided by 63 the remainder is 25. When the number 1s divided by 7 the remainder will be **

(a) 2 (b) 3 **(c) 4** (d) 5

**26. Price of an article is increased twice consecutively by 10% and as a result of the article becomes Rs.484. Initial price of the article was **

(a) Rs. 375 (b) Rs. 380 (c) Rs. 390** (d) Rs. 400**

**27. If Sourav runs at 31.2 kmph. then in 2 seconds he will run ****(a) 26 m **(b) 30 m (c) 35 m (d) 42 m

**28. A book seller sold two books for Rs. 178 each. On one he gains 14% while on the other he losses 14%. His gain or loss in the whole transaction is **

(a) loss of 1.41% (b) gain of 2.56% (c) gain of 4%** (d) loss of 1.96%**

**29. A man by a car at 15/16th of its value and sells it for 10% more than its value. His gain percentage is **

(a) 11.67 (b) 15.57 (c) 16.67** (d) 17.33**

**30. A person sold 320 mangoes tor the cost price of 400 mangoes. His gain percent is **

(a) 10% (b) 15% (c) 12 ½% **(d) 25%**

**31. If a, b, c are three sum of money such that b is the simple interest on a, c is the simple interest on b for the same time and the same rate of interest, then we have **

(a) a² = bc (b) c² = ab (c) abc = 1 **(d) b² = ac **

**32. A four digit number is divisible by 7 becomes divisible by 3 when 10 is added to it. The largest such number is **

(a) 9987 (b) 9996 (c) 9999 **(d) 9989 **

**33. Two buses travel to a place at 25 kmph and 35 kmph respectively. If the second bus takes 16 ½% hr less than the first for the same journey, the length of journey is **

(a) 1100 km (b) 900 km (c) 1350 km (d) 785 km

**34. The H.C.F of two number is 9 and their L.C.M 1s 270.1f the sum of the number is 99 their difference is equal to- **

(a) 18 (b) 15 (c) 12 **(d) 9 **

**35. The salaries of A, B and C are in the ratio of 2:3:3. The salary of B and C together is Rs.8000. Percentage of the salary ef C more than that of A by – **

**(a) 150%** (b) 100% (c) 200% (d) 250%

**36. Average of three numbers is 21 and the average of these three numbers and a fourth number is 18. The fourth number is **

(a) 7 (b) 8.5 (c) 8 **(d) 9**

**37. The average of 11 numbers is 6. If each number is multiplied by 7 then the average of the new set of numbers is **

(a) 66 (b) 77 (c) 36 **(d) 42**

**38. A train 150m long crosses a standing man in 5 seconds. The speed of the train is **

**(a) 108 kmph **(b) 32 kmph (c) 112 kmph (d) 40.5 kmph

**39. The number 77 is divided into two parts such that H.C.F of two parts is 11 and their L.C.M is 110. The smaller of the two parts is **

(a) 11 **(b) 22** (c) 44 (d) 55

**40. A person is asked to simplify (2+2×2)/(2÷2×2) and his answer is 16. The percentage error committed by him is **

(a) 23.1 (b) 81.25% **(c) 433.33% **(d) No error

**41. If 37 ½% of a number is 45 then 87 ½% of the number will be**

**(a) 105** (b) 102 (c) 96 (d) 92

**42. The simple interest on Rs. 5250 from 1st February, 2013 to April 14, 2013 at 7 1 3 ⁄ % rate will be **

**(a) Rs. 78.75** (b) Rs. 104 (c) Rs. 26.50 (d) Rs. 104.25

**43. 2/3 rd of a number is greater than 1/6 th of it by 10. The number is **

(a) 15** (b) 20** (c) 33 (d) 12

**44. If the list price of an article be x and the price after discount (x-y), then the rate of discount is **

(a) y% **(b) 100 y/x%** (c) 100 x/y% (d) 100 y%

**45. Speed of the stream is 2 km/hr. A boat takes 2 hours to cover a distance down the stream and 3 hours to return. Speed of the boat is **

(a) 15 km/hr (b) 20 km/hr **(c) 10 km/hr** (d) 25 km/hr

**46. A certain number of men can finish a piece of work in 60 days. If however, there were 10 men less, it would take 20 days more for the work to be finished. No. of men were there originally **

(a) 20 (b) 30 (c) 50 **(d) 40 **

**47. The recurring decimal fraction 0.3333. ___α represents the real number **

(a) 0.3 (b) 33/100 **(c) 1/3** (d) 100/33

**48. A carton containing 20 glass toys is dropped. Which of the following can not be the ratio of broken toy to unbroken toy? **

(a) 1 : 4 (b) 3 : 1 (c) 3 : 2 **(d) 5 : 1 **

**49. Rs. 1760 was divided between A and B in such a way that 1/3rd of A’s profit will equal to 2/5th of B’s profit. Find the profit of B**

(a) Rs. 700 (b) Rs. 750** (c) Rs. 800** (d) Rs. 850

## Arithmetic - 2019

**1. 112, 16, 32, 68, 132, ?**

(A) 196 **(B) 232** (C) 276 (D) 213

**2. Suresh borrowed Rs. 800 at 6% and Naresh borrowed Rs. 600 at 10%. After how much time, will they both have equal debts? (at simple interest)**

ANS : D

**3. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have been fetched Rs. 5,100 more. The sum is**

**(A) Rs. 1,70,000** (B) Rs. 1,50,000 (C) Rs. 1,25,000 (D) Rs. 1,20,000

**4. What would be the simple interest obtained on an amount of Rs. 8,930 at the rate of 8% per annum after 5 years?**

(A) Rs. 5,413 (B) Rs. 2,678 **(C) Rs. 3,572** (D) Rs. 4,752

**5. The LOA of two numbers is 2376 while the HCF is 33. If one of the numbers is 297, then the another number is**

(A) 216** (B) 264** (C) 642 (0) 792

**6. 3 men can do a piece of work in 18 days. 6 boys can also do the same work in 18 days. In how many days, 4 men and 4 boys together will finish the work?**

(A) 10 days (B) 6 days (C) 12 days **(D) 9 days **

**7. A can do a piece of work in4days and B can complete the same work in 12 days. What is the number of days required to do the same work together?**

(A) 2 days** (B) 3 days** (C) 4 days (D) 5 days

**8. Before 7 years, the ratio of ages of A and B was 3 : 4. After 9 years, ratio of their ages will be 7 : 8. The present age of B will be**

(A) 16 years (B) 19 years (C) 28 years **(D) 23 years **

**9. A father is nine times as old as his son and the mother iseight times asold as theson. The sum of the father’s and the mother’s age is 51 years. What is the agc of the son?**

(A) 7 years (B) 5 years (C) 4 years **(D) 3 years **

**10. A does 20% less work than B. If A can complete apiece of work in 72 hrs, then B can do it in **

(A) 4 hrs **(B) 6 hrs** (C) 8 bra (D) 10 hrs

**11. In what proportion must agrocermix wheat at Rs. 2.04 per kg and Rs. 2.88 per kg so as to make a mixture of worth Rs. 2.52 per kg?**

(A) 2 : 3 (B) 3 : 2 (C) 5 : 3 **(D) 3 : 4 **

**12. A sum of Rs. 300isdividedamong P, Q and R in such a way that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. Then, ratio of their shares is**

(A) 2 : 3 : 5 **(B) 3 : 2 : 5** (C) 2 : 5 : 3 (D) 5 : 3 : 2

**13. If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozen eggs. **

**(A) Rs. 240** (B) Rs. 300 (C) Rs. 150 (D) Rs. 185

14. P. Q and R start a business. P invests 3 times as much as Q invests and Q invests rd as much as R invests. Find the ratio of capitals of 13, Q and It

**(A) 3 : 2 : 6** (B) 2 : 6 : 3 (C) 6 : 2 :3 (D) : 2 :3

**15. Jagatram, a milk seller has certain quantity of milk to sell. In what ratio, he should mix water to gain 5% by selling the mixture at the cost price?**

(A) 1 : 10 (B) 1 : 5 **(C) 1 : 20** (D) 1 : 15

**16. What is the value of x **

(A) 7/10** (B) 13/10** (C) 11/10 (D) 17/10

**17.****Today is Monday. What will be the day after 64 days?**

(A) Thursday (B) Wednesday (C) Friday** (D) Tuesday **

**18. The mean temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5 that of Monday, then the temperature of Thursday was**

(A) 35.5°C (B) 34°C (C) 36.5°C **(D) 36°C**

** (A) 378** (B) 756 (C) 252 (D) 332

**20. Which one among the following is the largest? **

(A) 7/9** (B) 11/14** (C) 3/4 (D) 10/13

**21. A train takes 9 seconds to cross a pole. If the speed of the train is 48 km/hr, then length of the train is**

(A) 150 m **(B) 120 m** (C) 90 m (D) 80 m

**22. If the speed of a swimmer in still water is 9 km/hr, find the downstream speed of the swimmer, when the river is flowing with the speed of 6 km/hr.**

(A) 15 km/hr (3) 18 km/hr **(C) 3 km/hr** (D) 12 km/hr

**23. A 400 m long train takes 36 sec. to cross a man walking at 20 km/hr in the direction opposite to that of the train. What is the speed of the train?**

**(A) 20 km/hr** (B) 30 km/hr (C) 15 km/hr (D) 11 km/hr

**24. A train covers 90 m in passing a standing man. Find the length of the train.**

(A) 20 m (B) 87 m (C) 71 m** (D) 90 m **

**25. X covers I km in 8 min 40 sec while Y covers the same distance in 10 min. By what distance does X defeat Y?**

ANS : D

26. What will a clock when the time is at 4:40 p.m.? **(A) 120 degree** (B) 100degree (C) 110 degree (D) 130 degree

**27. A shopkeeper allows a discount Of 10% to his customers and still gains 20% on cost, the marked price of the article which costs Rs- 450, is**

**(A) Rs. 600 **(B) Rs.540 (C) Rs.660 (D) Rs.580

**28. What least number must be added to 1057 ****to get a number exactly divisible by 23?**

**(A) 1** (B) 2 (C) 3 (D) 4

**29. How many numbers are multiples of 2 or 3?**

(A) 11 **(B) 14** (C) 15 (D) None

**30. A classis divided into two sections. Passing Average of 20 students of section A is 80% and passing average of 30 students of session B is 70%. What is the passing average of ****both sections?**

(A) 72% **(B) 74%** (C) 75% (D) 77%

**31. The least number which when divided by 4, 6, 8 and 9 leaves zero remaindering each case and when divided by 13 leaves a remainder or 7, is**

(A) 144 **(B) 72** (C) 36 (D) 85

**32. X, Y and Z undertake to do a work for 3 Rs. 6,000. X and Y together do —4 of the work and rest is done by Z alone. How much should be share of Z?**

(A) Rs. 1,350 (B) Rs. 1,200 **(C) Rs. 1,500** (D) Rs. 1,450

**33. A dozen pair of socks quoted at Rs. 80 are available at a discount of 10%. How many pair of socks can be bought for Rs. 24?**

** (A) 4 **(B) 5 (C) 3 (D) 6

34. Find the value of

**(A) 5997** (B) 5979 (C) 5994 (D) 2997

**35. Anita purchased a bicycle at a cost of Rs. 3,200. She sold it at a loss of Rs. 240. At what price did she sell the bicycle?**

**(A) Rs. 2,960** (B) Rs. 2,690 (C) Rs. 3,440 (D) Rs. 3,360

**36. Gopal bought a cell phone and sold it to Rain at 10% profit. Then, Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal’s position if he agreed?**

(A) Neither loss nor gain **(B) Loss 1%** (C) Gain 1% (D) Gain 0.5%

(A) 36864 (B) 46864 (C) 56864 (D) 66864

(A) 648 (B) 762 (C) 612 **(D) 728 **

**39. In an examination out of 480 students, 85% of the girls and 70% of the boys passed. How many boys appeared in the examination, if total pass percentage was 75%?**

(A) 370 (3) 340** (C) 320** (D) 360

**40. The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers.**

(A) 69, 15, 22 **(B) 23, 46, 69** (C) 25, 31, 41 (D) 23, 21, 35

**41. The population of a city is 250000. It is increasing at the rate of 2% every year. The growth in the population after 2 years is**

(A) 2500 (B) 10000 (C) 252000 **(D) 10100 **

**42. If the average ages of Rakesh and Mohan is 15, average ages of Mohan and Ramesh is 12 and the average ages of Rakesh and Ramesh is 13, then the age of Mohan is**

(A) 16 years (B) 13 years **(C) 14 years** (D) 12 years

**43. The sum of place values of 2 in 2424 is**

(A) 4 (B) 220 (C) 2002 **(D) 2020 **

**44. One-half of a certain number is equal to 65% of the 2nd number. Find the ratio of 1 st to 2nd number.**

(A) 10 : 13 (B) 8 : 13 (C) 13 : 8 **(D) 13 : 10 **

**45. In a class of 49 students, the ratio of girls to boys is 4 : 3. If 4 girls leave the class, the ratio of girls to boys would be**

(A) 11 : 7 **(B) 8 : 7** (C) 6 : 5 (D) 9 : 8

**45. A General of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remained unused. Then, the number of such army men remained unused was**

(A) 36 (B) 65 **(C) 81** (D) 97

**46. If speed of 31 m/s is converted to km/h, then it would be**

(A) 8 km/h (B) 9 km/h (C) 10 km/h **(D) 12 km/h **

**47. A man covered a distance of 12 krn in 90 min by cycle. How much distance will he cover in 3 hrs, if he rides the cycle at a uniform speed?**

(A) 36 km **(B) 24 km** (C) 30 km (D) 27 km

**48. A tank can be filled by pipe X in 2 hrs. and pipe Yin 6 hrs. At 10 a.m., pipe X was opened. At what time will the tank be filled if pipe Y is opened at 11 a.m.?**

(A) 12 : 45 p.m. (B) 5 : 00 p.m.** (C) 11 : 45 a.m.** (D) 11 : 50 a.m.

**49. To cover a distance of 315 km in 2.8 hrs, what should be the average speed of the car?**

(A) 112.5 m/s (B) 56.25 m/s (C) 62.5 m/s **(D) 31.25 m/s **