Gurudwara Road Model Town, Hisar SSC CGL Tier 2

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1 Gurudwara Road Model Town, Hisar SSC CGL Tier 2 Math Paper code: No. of Questions: 100 Max. Marks : 200 Time: 2 Hours Negative Marking : 0.5 Each question carries 2 marks Please use OMR Sheet A certain number consists of two digits whose sum is 9. if the order of digits is reversed, the new number is 9 less than the original number. The original number is a)45 b) 36 c)54 d)63 2. If the sum of a number and its square is 90, what is the number? a) 7 b)8 c)9 d)8 3. Between 100 and 300, how many numbers are divisible by 7? ' (a) 14 (6)21 (c)28 (d)35 4. What is the greatest length which can be used to measure exactly 1m 8cm,2m 43cm,1 m35cm, and 1 m 89cm? a)26cm b)37cm c)28cm d)27cm 5. A mixture contains milk and water in ratio 4 : 1. When 10 litres of mixture is replaced with water, the ratio becomes 2 : 3. Find the quantity of mixture. (a) 20 litres (6) 30 litres (c) 40 litres (d) 45 litres 6. A shopkeeper mixes two varieties of rice Rs. 35 per kg Rs. 28 per kg respectively. If he sells the Rs. 36 per kg. and thus gains 20%, find the ratio in which the two varieties are mixed. (a) 2 : 5 (6) 4 : 7 (c) 5 : 2 (d) 7 :4 7. A person lent two equal amounts of money at 12%p.a. for 3.5 years and 5.5 years respectively. If difference between two interests is Rs.1800, find total sum lent. (a) Rs (6) Rs (c) Rs (J) Rs Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 1

2 8. Sita and Gita undertake to do a work together for Rs 600. Sita alone can do it in 15 days and Gita alone in 20 days. But with the assistance of Rita they finish it in 5 days.find the share of Rita. a)rs 150 b)rs200 c)rs250 d)rs If the cost of 9 mangoes and 5 apples is equal to cost of 7 mangoes and 8 apples. Find the ratio between the cost of 1 mango and the cost of 1 apple. (a) 2 : 3 (b) 3:2 (c) 5 : 8 (d) 9 : The mean temperature from the 9th to the 16 th of January, both days inclusive, was 11.6 C and from the 10th to the 17th it was 12.2 C. The temperature on the 9th was 10.8 C. What was it on the 37th? a) 15.6 C b)4.8 C c)9.6 C d)15 C 11. The average weight of 19 students was 25 kg. By the admission of a new student the average weight is reduced to 24.8 kg. The weight of the new student is a)24kg.b) 20.8 kg c)20.6kg d)21kg 12. Calculate the mean proportional between 0.5 and 1922 a) 39 b)29 c)31 d) If 10 masons can build a wall 50 metres long in 25 days of 8 hours each, in how many days of 6 hours each will 15 masons build a wall 36 metres long? a)18days b)15days c)24days d)16days 14. A and B appeared in an examination. If the difference of their marks is 35 and percentage difference of their marks is given as 7%. Find the full marks for which examination has been held. a) 500 b)700 c)350 d) One type of liquid contains 45% of milk, the other contains 25% of milk. A can filled with 9 parts of the first liquid and 11 parts of the second liquid. Find the percentage of milk in the new mixture. a) 34% b)48% c)36% d)35% 16. Venkat purchased 20 dozens of toys at the rate of Rs 375 per dozen. He sold each one of them at the rate of Rs 33. What was his percentage profit? a) 6.5 b)5.6 c)3.5 d) A reduction of 40 per cent in the price of bananas would enable a purchaser to obtain 60 more for Rs 45. What is the reduced price? a)50p b)40p c)60p d) 30 P Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 2

3 18. A 25% hike in the price of tea forces a person to purchase 2 kg less for Rs 75. Find the original price of the tea. a)rs7 b)rs8 c)rs7.5 d)rs A machine with a marked price of Rs.600 was being sold at 10% discount. During stock clearance sale, a further discount was allowed and the machine was sold at Rs What is the rate per cent of second discount? (a) 4% (b)5% (c)6% (d)10% 20. Find compound interest on Rs at 10% p.a. for 4 years, if interest is compounded annually. (a) Rs (b) Rs (c)rs.4641 (d)rs A shopkeeper allows two successive discounts on an article whose marked price is Rs.150 and selling price is Rs.105. What is first discount if second discount is 12.5%? (a) 16.67% (b) 17.5% (c) 20% (d)25% 22. The value of a machine 25% p.a. If its present value is Rs Find the value of machine 2 years ago.. (a) Rs (6)Rs (c)rs (d)rs Find the present worth of Rs 9950 due 3 years hence at 7 per cent per annum simple interest. Also find the discount. a)rs7000,rs2950. b) Rs 8000, Rs 1950 c)rs7950,rs2000 d)none of these 24. A certain sum of money amounts to Rs. 640 after 2 years and Rs. 720 after 3 years. How much will it amount to in 4 years? (a) Rs, 760 (6) Rs. 800 (c) Rs. 810 (a) Rs The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. What is net increase in the price of article? (a) 5% (b) 5.3% (c) 10% (d) 13% 26. If a certain sum pn compound interest becomes Rs in 2 years and Rs in 3 years, find rate of interest p.a. (a) 6.25% (b)10% (c) 12.5% (d) 25% 27. A work can be done by a certain number of workers in 8 days. How many days will they take to finish a work four times the original work? (a) 2 days (b) 12 days (c) 24 days (d) 32 days Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 3

4 28. Compound interest on a certain sum for two successive years is Rs. 150 and Rs. 153 respectively. Find rate of interest. (a) 2% (b)3% (c)5% (d)6% 29. A certain number of men can complete a job in 10 days. If 10 men are absent, the remaining man can do the work in 12 days. How many men were there originally? (a) 10 men (b) 20 men (c) 50 men (d) 60 men 30. A man borrows a certain sum and pays it back in two equal annual installments. If he pays back Rs. 676 annually and rate of interest is 4%, what is the sum borrowed? (a) Rs (6) Rs (c) Rs (d) Rs A, B and C did a work together and earned Rs. 729 for the work. If the ratio of work done by A, B and C is 2 :3 :4, find C s share. (a)rs. 81 (b) Rs. 162 (c)rs.243 (d) Rs A father divides Rs between his two sons, Mohan and Sohan who are 23 and 24 at present in such a way that if their shares are invested at compound 4% p.a., they will receive equal amount on attaining the age of 26 years. Find Mohan s share. ' (a) Rs (6)Rs.2500 (c)rs.2550 (d)rs A pipe can fill cistern in 33 minutes. Find the time in which part of the cistern will be filled. a) 3 minutes b) 2 minutes c)11 minutes d) None of these 34. A sum of money amounts to Rs in 2 years and 3456 in 3 years at compound interest. Find the sum. (a) Rs (b) Rs (c) Rs (d) Rs A pipe can empty a tank in 15 hrs and another pipe can empty it in 10 hours. If both the pipes are opened simultaneously, find the time in which a full tank is emptied, a) 8 hrs b) 6 hrs c) 4 hrs d) 5 hrs 36. A certain sum is to be divided between A and B so that after 5 years the amount.received by A is equal to the amount received by B after 7 years. The rate of interest is 10%, interest compounded annually. Find the ratio of amounts invested by them. (a)10:11 (b) 100:121 (c) 11 :10 (d) 121 : What is the length of the bridge which a man riding 15 km an hour can cross in 5 minutes? Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 4

5 a) 1km b)2km c)2 km d) 1 km 38. If difference between two positive numbers is 3 and sum of square of the numbers is 369, then the sum of the numbers is : ' (а)23 (b) 27 (c) 33 (d) A man is walking at a speed of 6 km per hour. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 18 km. a)5hrs c)4hrs42min b)5hrs 42min d) None of these 40. If 0.13 = 13, h (a) 10 (b) 0.01 (c) 0.1 d) A man covers a certain distance between his house and office on scooter. Having an average speed of 60 km/hr, he is late by 20 min. However, with a speed of 80 km/hr, he reaches his office 10 min earlier. Find the distance between his house and office. a) 120km b)90km c)80km d)60km 42. Find the value of (x 3 +y 3 + z 3 3xyz), if (x+y + z) = 9 and (xy+yz+xz) = 26. (a)27 (b)52 (c) 81 (d) Ram travels at the rate-of 3-km/hr and he reaches 15 minutes late, If he travels at the rate of 4 km/hr, be reaches 15 minutes earlier. The distance Ram Has to travel is a) 1 km b)6km c)7km d)12km = 0.04, then the value of a) b) c) d) 45. A boy walking at a speed of 15 km/hr reaches his school 20 minutes late. Next time he increases his speed 5 km/hr, but still be is late by 10 minutes. Find the distance of his school from his house.. a) 15 km b)10km c)18km d)20km 46. If 64 =, then the value of a) 1 b) 0 c) d) If p q=p+q+, the value of 8 2 is : (a) 6 (b) 10 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 5

6 (c) 14 (d) If x=7-4 3, then the value of (x+ ) is : (a) 3 3 (b) 8 3 (c) (d) The circular measure of an angle of an isosceles triangle is Circular measure of one of the other angles must be (a) (c) (b) (d) 50.. If the sum of two angles is 135. And their difference is, then the circular measure of the greater angle is (a) (c) (b) (d) 51. If a = 7, b = 5 and c = 3, then the value of a 2 +b 2 +c 2 -ab-bc-ca is (a) 12 (b) -12 (c) 0 (d) 8 ( ). 52. The value of. is (a) 1 (b) 9 (c) 3 (d)3 53. If cosesc 39 = x, the vlue of is (a) 1 (b) 1 (c) x 2 1 (d) 1 x The value of cot 10. Cot 20 cot 60. Cot.70.cot 80 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 6

7 (a) 1 (b) -1 (c) 3 (d) 55.. If ( ) 3 ( ) -6 =( ) 2x-1, then x is equal to (a) -2 (b) 2 (c) -1 (d) If (125) x = 3125, then the value of x is (a) (b) (c) (d) 57.. If sin 17 =, then the value of (sec 17 - sin 73 ) (a) (b) (c) (d) 58. If sec = x + (0 < < 90 ), then sec + tan is equal to (a) (b) 2x (c) x (d) 59. If x*y =(x+3) 2 (Y-1), then the value of 5*4 is (a) 192 (b) 182 (c) 180 (d) The expression is equal to a) tan 57 cot 37 b) tan c) tan53 cot 57 d) tan In a quadrilateral, length of one diagonal is 15 cm and the lengths ofthe perpendiculars drawn from the opposite vertices are 7 cm and 9 cm. Find the area of the quadrilateral. (a) 30 cm 2 (b) 60 cm 2 (c)90cm 2 (d) 120cm What will be the cost of fencing a square field, whose side is 20 metre, if the cost of fencing is Rs. 10 per metre? Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 7

8 (a) Rs. 200 (b)rs.400 (c)rs.800 (4)Rs In a division sum the divisor is 7239, quotient.1308 and remainder 209. By how much should the dividend be increased so that when it is divided by the same divisor a quotient 1311 and a remainder 730 is obtained? a)22238 b)22283 c)22338 d) Find the least number of five digits which is exactly divisible by 654. a) b) c) d) The sum of two numbers is 33 and their difference is 21. Find the product of the two numbers. a) 162 b) 126 c)102 d) The length and breadth of a rectangle are in the ratio of 5:3. Find its area, if the perimeter is 64 cm. (a) 15 cm2 (b) 60 cm2 (c) 150 cm2 (d) 240 cm2 67. How many revolutions are required to be made by a wheel of 21 cm in radius, to cover the same distance as covered by a wheel of 49 cm in radius in 18 revolutions? (a)21 (b)42 (c)49 (d) Find area of uniform path of width 2 metre running from centre of each side to the opposite side of a rectangle field measuring 17 metre by 12 metre. (a) 24m 2 (b)34m 2 (c)45m 2 (d) 54m The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of remaining numbers is: a) 3650 b) c) d) The average height of 30 boys, out of a class of 50,is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is: a) 161 b)162 c)163 d) The average age of 30 students in a class is 12 year. The average age of a group of 5 of the students is 10 years and that of another group of S students is 14 years. Find the average age of remaining students. a) 14 year b) 10 year c) 12 year d) Data inadequate 72. If length of a rectangle is increased by 10% and width is decreased by 10%, its area will: Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 8

9 (a) 20% increase (c) 20% decrease (b) 1 % decrease (d) Remains unchanged 73. Two chords AB and CD of a circle with centre) intersect each other at the point P. If = 30 = 40 h is equal to : a) 50 b) 40 c) 35 d) A and B invest Rs 3000 and Rs 4000 in a business. A receives Rs 10 per month out of the profit as `a remuneration for running the business and the rest of profit is- divided in proportion to the investments. If in a year A totally receives Rs 390, what does B receive? a)rs630 b) Rs 360 c)rs480 d)rs After spending 69% of her money, a lady has Rs 93 left. How much had she at first? a)rs300 b)rs400 c)rs75 d)rs The profit earned by selling an article for Rs 317 is equal to the loss incurred when the same article is sold for Rs 233. What should be the sale price of the article for making 20 per cent profit? a)rs390 b)rs370 c)rs350 d)rs If a man-purchases 4 apples for Rs 5 and sells 5 apples for Rs 4. How much profit or loss does he make? a)36%profit b) 36% loss c)36.5%profit d)36.5%loss 78. A merchant professes to lose 8% on a certain tea, but he uses a weight equal to 460 g instead of 1 kg. Find his real loss or gain per cent. a) 50% gain b) 100% gain c) 200% gain d) 75% gain 79. Three solid cubes whose sides are 3 cm, 4 cm and 5 cm respectively are melted to form into a single cube. Find the side of new cube formed. (a) 6 cm (b) 8 cm (c)10cm (d) 12 cm 80. In ABC, B = 60 and C = 40. If AD and AE be respectively the internal bisector of A and perpendicular on BC, then the measure of DAE is (a) 5 (b) 10 (c) 40 (d) 60 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 9

10 81. A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65 at any point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of <APO is (a) 25 (b) 65 (c) 90 (d) Internal bisectors of B and C of ABC intersect at O. If BOC = 102, then the value of BAC is (a) 12 (b) 24 (c) 48 (d) The angle between the external bisectors of two angles of a triangle is 60. Then the third angle of the triangle is (a) 40 (b) 50 (c) 60 (d) I is the incentre of ABC. If ABC = 60, BCA = 80, the the BIC is (a) 90 (b) 100 (c) 110 (d) In ABC, draw BE AC and CF AB and the perpendicular BE and CF intersect at the point O. If BAC = 70, then the value of BOC is (a) 125 (b) 55 (c) 150 (d) O is the centre and arc ABC subtends an angle of 130 at O, AB is extended to P. Then PBC is (a) 75 (b) 70 (c) 65 (d) Internal bisectors of angles B and C of a triangle ABC meet at O. If BAC = 80, then the value of BOC is (a) 120 (b) 140 (c) 110 (d) 130 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 10

11 88. In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If QPR = 40,then ACB is equal to: (a) 140 (b) 40 (c) 70 (d) Two chords AB, CD of a circle with centre O intersect each other at P. ADP = 23 and APC = 70 then the BCD is (a) 45 (b) 47 (c) 57 (d) In a ABC A : B : C = 2 : 3 : 4. A line CD drawn to AB, then the ACD is: (a) 40 (b) 60 (c) 80 (d) 20 Directions (Q ) : Study the following table carefully and answer the questions given below. Departments Organizations A B C D E HR Finance Marketing Production Accounts Legal Total The total number of employees working in the legal department are approximately what percent of the total number of employees working in HR department of all the organizations together? (a) 4% (b) 8% (c) 12% (d) 6% 92. What is the approximate difference between the average number of people working in Marketing and Production departments from all the organizations together? (a) 578 (b) 231 (c) 300 (d) 1156 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 11

12 93. What is the respective ratio of the total number of employees working in organization A to the total number of employees working in organization E? (a) 225 : 233 (b) 71 : 75 (c) 75 : 71 (d) None of these 94. What is the total number of employees from all the departments working in all the organizations together? (a) (b) (c) (d) The number of people working in the Finance department from organization B is approximately what percent of the total number of employees working in organizations B? (a) 12% (b) 15% (c) 20% (d) 17% 96. A polygon has 35 diagonals. The number of sides of the polygon is: a) 4 b) 6 c) 8 d) In a ABC, AB = AC and BA is produced to D such that AC = AD. Then the BCD is (a) 100 (b) 60 (c) 80 (d) In ABC A + B = 65, B + C = 140, then find B. (a) 40 (b) 25 (c) 35 (d) In a triangle ABC, A = 90. C = 55,. What is the value of BAD? (a) 35 (b) 60 (c) 45 (d) If O be the circumcentre of a triangle PQR and QOR = 110, OPR = 25, then the measure of PRQ is (a) 65 (b) 50 (c) 55 (d) 60 Pinnacle SSC CGL Coaching, Gurudwara Road, Model Town, Hisar Page 12

PRACTICE QUESTION SET ON QUANTITATIVE APTITUDE FOR SSC RECRUITMENT EXAMINATION- 2012

WWW.JAGRANJOSH.COM PRACTICE QUESTION SET ON QUANTITATIVE APTITUDE FOR SSC RECRUITMENT EXAMINATION- 2012 1. Ratio of the principal and the amount after 1 yr is 10 :12. Then the rate of interest per annum