Subject Mathematics
426. Two number M and N are such that the sum of 5% of M and 4% of N is two – third of the sum of 6% of M and 8% of N. What is the ratio of M and N?
(a) 1:1
(b) 2:3
(c) 2:5
(d) 4:3
(e) None of those
Ans. d
427. Ranu and Rabu appeared at an examination. Rabu secured 9 marks more than Ranu and her marks was 56% of the sum of their marks. The marks obtained by both of them are ---
(a) 39, 30
(b) 41,32
(c) 42,33
(d) 43,34
(e) None of these
Ans. c
428. In a class, 20% of the students are below 20 years of age. The number of students above 20 years of age is two-third of the number of students of 20 years of age which in 48. What is the total number of students in the class?
(a) 72
(b) 80
(c) 96
(d) 100
(e) None of these
Ans. e
429. Which of the following statements is incorrect?
(a) log1010 =1
(b) log (2+3) =log (2× 3)
(c) log101= 0
(d) log (1+2+3) = log1 log2 log3
(e) None of these
Ans. d
430. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
(a) 2:1
(b) 3:2
(c) 25:18
(d) 27: 20
(e) None of these
Ans. c
431. Two trains of the same length running in opposite directions a man standing on the platform in 27 seconds and 17 seconds respectively andhey cross each other in 23 seconds. What is the ratio of their cube?
(a) 1:2
(b) 1:3
(c) 3:2
(d) 5:8
(e) None of these
Ans. c
432. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is --.
(a) 75
(b) 81
(c) 85
(d) 89
(e) None of these
Ans. c
433. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the numbers if the ratio between the digits of the numbers is 1:2?
(a) 4
(b) 8
(c) 16
(d) 24
(e) None of these
Ans. b
434. X, Y and Z jointly started a business. It was agreed that x would invest Tk. 6,500 for 6 months, Y Tk. 8,400 for 5 months and Z, Tk. 10,000 for 3 months. X wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Tk. 7,400. What is the share of Y in the profit?
(a) Tk. 1,900
(b) Tk. 2,660
(c) Tk. 2,800
(d) Tk. 2,840
(e) None of these
Ans. b
435. Let N be the greatest number that will divide. 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is----
(a) 4
(b) 5
(c) 6
(d) 8
(e) None of these
Ans. a
436. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
(a) 0.45
(b) 0.4
(c) 0.25
(d) 0.5
(e) None of these
Ans. a
437. Albert invested an amount of TK. 8,000 in a fixed deposit scheme for 2 years at compound interest rate 5% per annum. How much amount will Albert get on maturity of the fixed deposit?
(a) Tk. 8,600
(b) Tk. 8,620
(c) Tk. 8,820
(d) Tk. 9,000
(e) None of these
Ans. c
438. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is -.
(a) 60 gallons
(b) 120 gallons
(c) 150 gallons
(d) 170 gallons
(e) None of these
Ans. b
439. A, B and C start at the same time in the same direction to rum around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all stating at the same point. After what time will they gain meet at the starting point altogether?
(a) 26 minutes and 18 seconds
(b) 42 minutes and 36 seconds
(c) 45 minutes and 38 seconds
(d) 46 minutes and 12 seconds
(e) None of these
Ans. d
440. At present the total age of Rahim, karim and Akkas is 81 years. What was their average age three years ago?
(a) 78 years
(b) 72 years.
(c) 24 years
(d) 29 years
(e) None of these
Ans. c
441. Two bus tickets from city A to B and three tickers from city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk 43. What are the fares for cities B and C from city A?
(a) Tk 4. Tk 23
(b) Tk 13, Tk 17
(c) Tk 15, Tk 14
(d) Tk 17, Tk 13
(e) None of these
Ans. b
442. An institute organized a fair and 1 5 of the girls and 1 8 of the boys of the institute participated in their fair. What fraction of the total number of students of that institute took part in the fair?
(a) 2 23
(b) 13 40
(c) 1 40
(d) Cannot be calculated
(e) None of these
Ans. d
443. A pineapple costs Tk 7 and a watermelon costs Tk 5. Rahim spent exactly Tk 38 on these fruits. what was the numbers of pineapples purchased?
(a) 2
(b) 3
(c) 4
(d) cannot be calculated
(e) None of these
Ans. c
444. A woman says,`` If you reverse my own age, the figures represent my husband’s age. He is senior to me and the difference between our ages is one-eleventh of their sum.’’ What is her age now?
(a) 23 years
(b) 34 years.
(c) 45 years
(d) 50 years
(e) None of these
Ans. c
445. A is 3 years older than B and 3 years younger than C. B and D are twins. How older is C than D ?
(a) 2 years
(b) 3 years
(c) 6 years
(d) 12 years
(e) None of these
Ans. c
446. In a garden, there are 10 rows and 12 columns of trees. The distance between any two trees is 2 m and a distance of 1 m is left from all sides of the boundary of the garden. What is the length of the garden?
(a) 20 m
(b) 22 m
(c) 23 m
(d) 24 m
(e) None of these
Ans. a
447. In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more then, E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score?
(a) 62
(b) 45
(c) 28
(d) 20
(e) None of these
Ans. d
448. At a dinner party every two guests shared a bowl of rice between them, every three guests shared a bowl of vegetable between them and every four shared a bowl of meal between them. Three were altogether 65 bowls. How many guests were present at the party?
(a) 60
(b) 65
(c) 90
(d) 100
(e) None of these
Ans. a
449. There are deer and peacocks in Zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?
(a) 20
(b) 30
(c) 50
(d) 60
(e) None of these
Ans. d
450. A tailor had a number of shirt pieces to cut from some large pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute. How many large pieces would be cut in 24 minutes?
(a) 32
(b) 54
(c) 108
(d) 120
(e) None of these
Ans. c