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# (Download) SBI Associate Clerk Exam Paper - 2018 "Quantitative Aptitude"

**(Paper) SBI Clerk Main Exam Paper - 2018**

**::Quantitative Aptitude::**

**141. I. (x − 2) ^{2} = 9
II. (2y + 8)^{2} = 16**

A. x < y

B. No relation can be established between x and y.

C. x > y

D. x ≤ y

E. x ≥ y

**142. I. x ^{2} − 16x + 64 = 0
II. y^{2} − 16y + 63 = 0**

A. x > y

B. x ≤ y

C. x ≥ y

D. x < y

E. No relation can be established between x and y.

**143. I. 25/x ^{2} − 15/x + 2 = 0
II. 40/y^{2} + 1 = 13/y**

A. x < y

B. x ≥ y

C. No relation can be established between x and y.

D. x ≤ y

E. x > y

**144. I. 48/x ^{2} − 14/x + 1 = 0
II. 45/y^{2} + 1/y = 2**

A. No relation can be established between x and y.

B. x ≤ y

C. x < y

D. x > y

E. x ≥ y

**145. I. x ^{2} + 3x – 4 = 0
II. y^{2} + 10y + 24 = 0**

A. x ≤ y

B. x < y

C. x > y

D. No relation can be established between x and y.

E. x ≥ y

**146. A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?**

A. 40 litre

B. 45 litre

C. 60 litre

D. 30 litre

E. 90 litre

**147. Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second, are black. If a box is chosen randomly and two balls are drawn at random from it, what is the probability that at least one ball is black if the ball is not replaced?**

A. 11/20

B. 43/120

C. 77/120

D. 9/20

E. None of these

**148. Train A, travelling at 84 kmph, overtook train B, traveling in the same direction, in 10 seconds. If train B had been traveling at twice its speed, then train A would have taken 22.5 seconds to overtake it. Find the length of train B, given that it is half the length of train A.**

A. 180 m

B. 100 m

C. 200 m

D. 150 m

E. 50 m

**149. A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?**

A. 3 cm

B. 1.5 cm

C. 1 cm

D. 2.5 cm

E. None of these

**150. X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After another 3 months, X withdrew two- sevenths of his stock but after 3 months, he puts back three-fifths of what he had withdrawn. The total profit at the end of the year is Rs. 726. How much of this should X receive?**

A. Rs. 336

B. Rs. 366

C. Rs. 633

D. Rs. 663

E. None of these

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**Direction (151-155): Table given below shows percentage of men out of total men who worked on odd days in three different months and rest of the men are working on even days of the respective month. Study the table carefully and answer the following questions.**

**Note: Each man works for 8 hours per day Total man-hours = Total man worked × Total day of work × 8 hours**

**151. Total man-hours on odd days of march is what % of the total man-hours on even days of April?**

A. 26 2/3%

B. 18 2/3 %

C. 33 1/3%

D. 16 2/3%

E. 58 1/3%

**152. Total man hour of April is how much more or less than the total man hour of August?**

A. 80,000

B. 83,200

C. 84,800

D. 86,400

E. 88,000

**153. Find the ratio between man-hour on even days of March to man hour on even days of August?**

A. 6 : 1

B. 7 : 3

C. 8 : 3

D. 3 : 7

E. 9 : 2

**154. Man-hour on odd days of April is how much % less than the man hour on odd days of August?**

A. 33 1/3%

B. 40%

C. 37.5%

D. 62.5%

E. 60%

**155. What is the average of man hours on even days of all three months together?**

A. 88,000

B. 66,000

C. 86,000

D. 78,000

E. 74,000

**Direction (156-160): The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statement(s) is/are sufficient /necessary to answer the questions
156. What is distance between A and B ?
I. Two persons Amit and Abhi started simultaneously from A to B with their speed in ratio 4 : 5.
II. Abhi reached B one hour earlier than Amit.
III. Difference between speed of Amit and Abhi is 20 km/hr.**

A. Only I and II

B. Only II and III

C. All I, II and III

D. Cannot be answered even including all three statement

E. None of these

**157. What is the area of rectangle ?
I. If ratio of length and breadth of the rectangle is 3 : 2.
II. Circumference of a circle is 440 m and breadth of rectangle is 1/7 th of radius of the circle.
III. If length is 50% more than breadth.**

A. Only III

B. Only II and either I or III.

C. Only II

D. All I, II and III

E. None of these

**158. How many students failed in class 11th?
I. 400 Students passed in class 11th.
II. No. of students failed in class 11th is 20% of those failed in class 12th.
III. Ratio of student appeared to that of failed in class 11th is 5 : 3.**

A. Only I and III

B. Only II

C. Only I and II

D. All I, II and III

E. Cannot be answered even including all three statements.

**159. What is the rate of interest?**

**I. S.I. accrued in two years on an amount at same rate of interest is Rs. 44,000.
II. The amount after some years on S.I. is Rs. 154000.
III. Difference between the C.I. and S.I. earned in two years on the same amount and at the same rate of interest is Rs.120.**

A. Only I and III

B. Only III

C. Only II and III

D. Cannot be answered even including all statement

E. None of these

**160. What is the sum of two number?
I. The bigger no. is 6 more than the smaller no.
II. 40% of smaller no. is equal to 30% of bigger no.
III. The ratio b/w half of the bigger no. & one-third of smaller no. is 2 : 1.**

A. Only II & III

B. Only I & II

C. Any two of the three statements

D. All statement is required

E. None of these

**Direction (161-166): Answer the questions based on the information given below:
Rahul goes to gym and runs 40 minutes on treadmill. For starting 15 minutes he runs at a uniform speed of 5 km/hr and after that he runs at a uniform speed of 9km/hr for remaining time. He runs total (A) km on treadmill. After that he comes to his house and get ready for office which is 45km away from his house. He reaches office in 1.5 hours at 9:30 a.m. In office he gives some work to his subordinates P1 and P2 at (B). P1 can complete that work in 6 hours while efficiency of P1 and P2 is in the ratio 5: 4. P1 and P2 together completes 75% of that work at 12:30 p.m. Rahul and P2 together can complete same work in 3 hours. Rahul is (C) % more efficient than P1. After that work he comes back to home in upstream (Speed of stream is 3km/hr and his speed in still water and distance between his house and office are same as earlier). He takes (D) hours to reach home. When he reaches home, two of his friends Aman and Raman come at his house, all three starts to play a game in which 2 dices are used by each person. When only Rahul &Aman are playing, (E) was the number of outcomes in which first Rahul and then Aman throw their respective dices. In a game, all three throw their dices and each one of them get 8 as the sum of numbers in their dices and any one of two not get same outcomes. Winner is the one who gets highest number as the sum of the square of the number comes in dices. (F) Should be the outcomes of the dices of Raman if Raman is winner of the game.
161. What value will come at the place of ‘A’?**

A. 4.25 km

B. 3.75 km

C. 5 km

D. 5.25 km

E. None of the given options

**162. What value will come at the place of ‘B’?**

A. 10.45

B. None of the given options

C. 11 am

D. 10.30 am

E. 10 am

**163. What value will come at the place of ‘C’?**

A. 16 2/3%

B. 20%

C. 25%

D. 33 1/3%

E. 50%

164. What value will come at the place of ‘D’?

A. 2 hours

B. 1.5 hours

C. 1 7/8 hours

D. 1 2/3 hours

E. 1 4/11 hours

**165. What value will come at the place of ‘E’?**

A. 72

B. 42

C. 36

D. 108

E. 54

**166. What value will come at the place of ‘F’?**

A. None of the given options

B. Cannot be determined

C. 3 and 5

D. 4 and 4

E. 2 and 6

**Direction (167-170): Two quantities that is I and II are given in following questions. Students are expected to solve the quantities and answer them according to given options by comparing their numerical values.
167. 3 ^{x+5} . 9^{2x−4} = 9^{5x−14} And, 2y^{2} − 15y − 28 = 3y^{2} − 23y − 13
Quantity I: Value of ‘x’
Quantity II: Value of ‘y’**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or No relation

**168. Quantity I: When an article sold at 28% discount then profit earned is 29.6%. ‘x’ is the profit % when article sold at 30% discount. Quantity II: 38**

A. Quantity I = Quantity II or No relation

B. Quantity I < Quantity II

C. Quantity I ≤ Quantity II

D. Quantity I ≥ Quantity II

E. Quantity I > Quantity II

**169. 12 men can complete a work in 10 days. 18 women can do the same work in 20 days. 27 children can do that work in 20 days. 9 women and 9 children together do that work for 16 days.
Quantity I: No. of men required to complete the remaining work in one day
Quantity II: 36**

A. Quantity I > Quantity II

B. Quantity I ≤ Quantity II

C. Quantity I = Quantity II or No relation

D. Quantity I < Quantity II

E. Quantity I ≥ Quantity II

**170. Quantity I: Time taken to fill the tank when A, B and C are opened in every alternate minute starting with A and ending with C. A, B and C alone takes 20 minutes, 15 minutes and 12 minutes respectively to fill the tank.
Quantity II: Find the time taken by waste pipe to empty the full cistern. Two pipes alone can fill a cistern in 10 minutes and 15 minutes respectively. When these two pipes along with the waste pipe are opened, the cistern gets filled in 18 minutes.**

A. Quantity I > Quantity II

B. Quantity I < Quantity II

C. Quantity I ≥ Quantity II

D. Quantity I ≤ Quantity II

E. Quantity I = Quantity II or No relation

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**Direction (171-175): Data given below shows number of units of electricity consumed by Fans, Lights and Other appliances in three different houses. Study the data carefully and answer the following questions.
House A →Total number of units consumed in House ‘A’ is 250 units out of which 120 units are consumed by Other appliances. Units consumed by Fans are 30 less than Units consumed by Lights.
House B →Units consumed by Lights in House ‘A’ and House ‘B’ is same. Unitsconsumed by Fans in House ‘B’ are 60% more than that of fans in House ‘A’.
House C →Total units consumed by Lights in all three houses is 200 units and units consumed by Fans and Lightsis same in House C. Units consumed byOther appliances is 125% more than that by Fans in this House. Total units consumed by other appliances in all three houses are 320 units.
171. Number of units consumed by Lights in House ‘B’ is what percent more of the units consumed by Lights in house ‘C’?**

A. 100%

B. 200%

C. 120%

D. 50%

E. 150%

**172. Average number of units consumed by Other appliances in House ‘B’, ‘C’ and ‘D’ is 110 units. Find the units consumed by Other appliances in House ‘D’?**

A. 110 units

B. None of the given options

C. 130 units

D. 120 units

E. 140 units

**173. Find total number of units consumed in House ‘A’ and ‘C’ together?**

A. None of the given options

B. 410 units

C. 430 units

D. 400 units

E. 420 units

**174. Find the difference between Units consumed by other appliances in House ‘B’ and house ‘C’?**

A. 10 units

B. 20 units

C. 30 units

D. None of the given options

E. 40 units

**175. Total units consumed by Fans and Lights together in House ‘C’ is what percent less than total units consumed by Lights and Other appliances together in House ‘A’?**

A. 20%

B. 40%

C. 50%

D. 60%

E. 80%

**Direction (176-178): Pie-chart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.**

**176. B and E started a business together. B left the business 9 months after starting of business. Find the difference between profit shares of B and E if total annual profit is Rs. 15,400?**

A. Rs.2100

B. Rs.4200

C. Rs.1400

D. Rs.2800

E. Rs.3500

**177. A and D started a business together after 6 months ‘A’ is replaced by ‘C’. D left the business after 2 months of ‘A’while ‘C’ worked for total ‘x’ months. Out of total profit of Rs 13,050, ‘A’ got Rs 6750, then find the value of ‘x’.**

A. 10

B. 8

C. 6

D. 4

E. 2

**178. ‘A’, ‘F’ and ‘C’ started a business together. F invested Rs. 4000 more than amount invested by C. F left thebusiness after 6 months of starting ofbusiness. After 2 months more, ‘C’ left the business. Out of annual profit if A and C together got Rs 8750 then find total annual profit got by all three together?**

A. Rs 11,250

B. Rs 10,000

C. Rs 12,500

D. Rs 13,750

E. Rs 15,000

**179. Cost price of a pen is 50 Rs. and that of notebook is 140 Rs. If pen is sold at200% profit, then to purchase 10 suchnote books how many pens are required to sell if only profit money is used to buy notebooks? **

A. 14

B. 18

C. 15

D. 20

E. 16

**180. Length of two trains are 150 m and 200 m respectively and the ratio (shorter:longer) of their speed is 2 : 5. If theycross each other in opposite direction in 15 second then in what time faster train will overtake the slower train.**

A. 20 seconds

B. 25 seconds

C. 32 seconds

D. 35 seconds

E. 27 seconds

**181. If length of a rectangle is decreased by 6 cm we get a square and the area ofsquare formed is 252 cm2 less than thearea of square formed when breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle. **

A. 66 cm

B. 88 cm

C. 80 cm

D. 72 cm

E. 84 cm

**182. Breadth of a rectangle is equal to the diagonal of the square whose side is2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).**

A. 75

B. 90

C. 85

D. 80

E. None of these

**183. Equal distance is covered by a boat in upstream and in downstream in total 5 hours. Sum of speed of a boat inupstream and downstream is 40 km/hr.Speed of boat in still water is 600% more than the speed of stream. Find the approximate distance covered by boat in downstream (in km).**

A. 45

B. 50

C. 55

D. 60

E. None of these

**184. A and B entered into a partnership with Rs.800 and Rs.1600 respectively. From 9th months onward they each decided toinvest Rs.100 more on starting of eachmonth. If total annual profit is Rs.7700 then find the profit share of A. **

A. Rs.2550

B. Rs.3200

C. Rs.2650

D. Rs.2450

E. Rs.2750

**185. A starts a business, after 6 months B also join him with Rs.4500 and after 2months of B’s joining C also join themwith Rs.4500. If A gets approx. Rs 4900 out of total annual profit of Rs. 10,000 then find the approximate value of initial investment of A.**

A. Rs.4800

B. Rs.4200

C. Rs.3600

D. Rs.4400

E. Rs.5200

**Direction (186-190): Bar chart given below shows selling price of five articlesand profit % earned on selling thesearticles by Ravi. Study the data carefully & answer the following questions.**

**186. Ravi sold article ‘D’ to Shyam who again sold it at 25% profit. Find the difference between profits earned by Ravi to profit earned by Shyam.**

A. Rs. 5

B. Rs. 10

C. Rs. 15

D. Rs. 20

E. Rs. 25

**187. Cost price of article A is what percent more/less then cost price of article C?**

A. 62.5%

B. 37.5%

C. 25%

D. 75%

E. 50%

**188. Ravi marked article B, 50% above its cost price, then what percent discountshould be given on marked price to earn the given profit?**

A. 40%

B. 30%

C. 25%

D. 20%

E. 10%

**189. Profit earned on selling article ‘E’ is how much more/less than profit earned on selling article ‘C’.**

A. Rs. 40

B. None of the given options

C. Rs. 30

D. Rs. 20

E. Rs. 10

**190. Ravi mark-up article ‘A’ such that on selling article ‘A’ at 16% discount he will earn the given profit. Mark up price of article ‘A’ is what percent more than its cost price?**

A. 33 1/3%

B. 66 2/3%

C. 16 2/3%

D. 26 2/3%

E. 73 2/3%