ব্যাংক নিয়োগ পরীক্ষার প্রস্তুতি (গণিত সাজেশন) – ৫ম পর্ব

ব্যাংক নিয়োগ পরীক্ষার প্রস্তুতি – গণিত সাজেশন।

Bank recruitment test preparation – mathematical suggestion.
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202. Pipe A can fill a tank in ‘a’ hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?
     1. (3/2)a hours
     2. (2/3)a
     3. (4/3)a
     4. (3/4)a

Ans : A

203. A and B working together can finish a job in T days. If A works alone and completes the job, he will take T + 5 days. If B works alone and completes the same job, he will take T + 45 days. What is T?
     1. 25
     2. 60
     3. 15
     4. None of these

Ans : C

204. A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job?
     1. 20 hours
     2. 120 hours
     3. 24 hours
     4. None of these

Ans : B

205. A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days)
     1. 1
     2. 3
     3. 5
     4. 4

Ans : D

206. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
     1. 360
     2. 120
     3. 240
     4. 300

Ans : B

207. Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?
     1. 50%
     2. 200%
     3. 60%
     4. 100%

Ans : D

208. A red light flashes 3 times per minute and a green light flashes 5 times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
     1. 30
     2. 24
     3. 20
     4. 60

Ans : A

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209. A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?
     1. 5
     2. 7
     3. 8
     4. 6

Ans : B

210. Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how long will they take to complete the work?
     1. 16 days
     2. 12 days
     3. 8 days
     4. 18 days

Ans : C

Probability

211. A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?
     1. 17/30
     2. 2/5
     3. 11/30
     4. 4/15

Ans : B

212. What is the probability of getting at least one six in a single throw of three unbiased dice?
     1. 1 / 6
     2. 125 / 216
     3. 1 / 36
     4. 91 / 216

Ans : D

213. What is the probability that a two digit number selected at random will be a multiple of ‘3’ and not a multiple of ‘5’?
     1. 2 / 15
     2. 4 / 15
     3. 1 / 15
     4. 4 / 90

Ans : B

214. A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the number 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? (Roulette has numbers 1 to 36)
     1. 16; 22 : 14
     2. 12; 72 : 1
     3. 12; 7 : 1
     4. Either; 35 : 1

Ans : D
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215. Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?
     1. 1 / 18
     2. 64 / 4032
     3. 63 / 64
     4. 1 / 9

Ans : A

216. When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?
     1. 5 / 6
     2. 11 / 12
     3. 1 / 6
     4. 1 / 12

Ans : B

217. When 4 dice are thrown, what is the probability that the same number appears on each of them?
     1. 1/36
     2. 1/18
     3. 1/216
     4. 1/5

Ans : C

218. An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?
     1. 0
     2. (2/3)^4
     3. 5*((2/3)^4)*(1/3)
     4. ((2/3)^4)*(1/3)

Ans : C

219. An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?
     1. 084
     2. 916
     3. 036
     4. 964

Ans : A

220. A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
     1. 18 days
     2. 27 days
     3. 67 days
     4. 16 days

Ans : A

221. 7% Rs.100 shares at Rs.120
     b. 8% Rs.10 shares at 13.50
     c. 9% Rs.50 shares at Rs.54
     1. a
     2. b
     3. c
     4. a and c

Ans : A

222. The classic problem of a monkey and the greased flag pole . The height of a certain flag pole is 30 feet. Grease is applied to the pole. A monkey attempts to climb the pole. It climbs 3 feet every second but slips down 2 ft in the next second. When will the monkey reach the top of the flag pole?
     1. 56 secs
     2. 27 secs
     3. 60 secs
     4. 55 secs

Ans : D

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223. How many squares can be formed using the checkered 1 * 1 squares in a normal chessboard?
     1. 64
     2. 204
     3. 1296
     4. 65

Ans : B

224. Solve for real ‘x’ if :
     1. x > 9
     2. 0 < x < 9
     3. x < 0
     4. None of these

Ans : B

225. If log 2 = 0. 3010, then find how many digits are contained in the number 256.
     1. 15
     2. 16
     3. 17
     4. Cannot be determined

Ans : C

226. A gentleman buys every year Bank’s cash certificates of value exceeding the last year’s purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates purchased by him in the 13th year.
     1. 4900
     2. 6900
     3. 1300
     4. None of these.

Ans : A

227. From the following choices what is the equation of a line whose x intercept is half as that of the line 3x + 4y = 12 and y intercept is twice as that of the same line.
     1. 3x + 8y = 24
     2. 8x + 3y = 24
     3. 16x + 3y = 24
     4. 3x + y = 6

Ans : D

228. Pipe A can fill a tank completely in 5 hours. However, on account of a leak at the bottom of the tank, it takes 3 more hours to fillthe tank. How long will the leak take to empty a full tank, when pipe A is shut?
     1. 13 hours 20 minutes
     2. 5 hours
     3. 14 hours 40 minutes
     4. None of these

Ans : A

229. The sum of the first 50 terms common to the series 15,19,23 … and 14,19,24 … is
     1. 25450
     2. 24550
     3. 50900
     4. Cannot be determined

Ans : A
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230. For what values of ‘x’ will the function be defined in the real domain?
     1. -10 < x < 4
     2. 4 < x < 10
     3. x does not lie between the closed interval 10 and 4
     4. x does not lie between the open interval 4 and 10

Ans : D

Quantitative Ability : Miscellaneous

231. Find the sum of all the integers which are multiples of 7 and lie between 200 and 400.
     1. 8729
     2. 8700
     3. 8428
     4. None of these

Ans : A

232. How many digits will the number 3²⁰⁰have if the value of log 3 = 0.4771?
     1. 95
     2. 94
     3. 96
     4. None of these

Ans : C

233. A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?
     1. 12,000
     2. 96,000
     3. 8000
     4. 6000

Ans : C

234. The sum of the first and the 9th of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?
     1. 216
     2. 108
     3. 54
     4. None of these

Ans : B

235. What is the equation of the line that is parallel to the line 3x + 7y = 10 and passes through the point (4, 8)
     1. 7x – 3y = 46
     2. 3x + 7y = 44
     3. 9x + 21y – 184 = 0
     4. 3x + 7y = 68

Ans : D

236. Ram and Shyam take a vacation at their grandparents’ house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents’ house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation?
     1. 36 days
     2. 14 days
     3. 29 days
     4. Cannot be determined.

Ans : C

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237. Ram buys Rs.100 shares at Rs.112. If he sells the shares after a year at Rs.132 after receiving a dividend of 8% just before selling, what is the net yield on his investment?
     17. 85%
     18. 06%
     19. 32%
     20. 25%

Ans : D

238. The sum of 20 terms of the series 12 + 22, 32 + 42, 52 + 62 is:
     1. 210
     2. 519
     3. 190
     4. None of these.

Ans : A

239. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
     1. 2
     2. 4
     3. 6
     4. 5

Ans : B

240. If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?
     1. 20 days
     2. 40 days
     3. 30 days
     4. 24 days

Ans : C

Profit and Loss

241. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

33. 33%
34. 75%
35. 300%
36. 150%

Ans : C

242. A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?
     404. 404.80
     405. 440
     406. 536.80
     407. 160

Ans : A

243. A trader professes to sell his goods at a loss of 8% but weights 900 grams in place of a kg weight. Find his real loss or gain per cent.
     1. 2% loss
     2. 22% gain
     3. 2% gain
     4. None of these

Ans : B

244. Rajiv sold an article for Rs.56 which cost him Rs.x. If he had gained x% on his outlay, what was his cost?
     1. 40
     2. 45
     3. 36
     4. 28

Ans : A
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245. A trader buys goods at a 19% Aount on the label price. If he wants to make a profit of 20% after allowing a Aount of 10%, by what % should his marked price be greater than the original label price?
     1. +8%
     2. -3.8%
     3. +33.33%
     4. None of these

Ans : A

246. If apples are bought at the rate of 30 for a rupee. How many apples must be sold for a rupee so as to gain 20%?
     1. 28
     2. 25
     3. 20
     4. 22

Ans : B

247. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and recieves Rs. 120 and a shirt. Then find the price of the shirt.
     1. 80
     2. 100
     3. 120
     4. Cannot be determined

Ans : C

248. Two merchants sell, each an article for Rs.1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?
     66. 66.67
     67. 50
     68. 125
     69. 200

Ans : B

249. A merchant marks his goods in such a way that the profit on sale of 50 articles is equal to the selling price of 25 articles. What is his profit margin?
     1. 25%
     2. 50%
     3. 100%
     4. 67%

Ans : C

250. A merchant marks his goods up by 75% above his cost price. What is the maximum % Aount that he can offer so that he ends up selling at no profit or loss?
     1. 75%
     2. 67%
     3. 300%
     4. 85%

Ans : D

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