## Uttara Bank Probationary Officer-2017

### Mathematics:

51. Simplify: (87×87×61×61−2×87×61)

A. 660
B. 676
C. 696
D. 706

Option: B

676

52. The smallest number of 5 digits beginning with 3 and ending with 5 will be

A. 31005
B. 30015
C. 30005
D. 30025

Option: C

30005

53. The number nearest to 43582 divisible by each of 25, 50 and 75 is

A. 43500
B. 43550
C. 43600
D. 43650

Option: A

43500

54. Evaluate: 11.11+111.1+1111.11

A. 1233.32
B. 1236.33
C. 1238.35
D. 1239.36

Option: A

1233.32

55. What mathematical operation should come at the place of ‘?’ in the equation:

2 ? 6 – 12 ÷ 4 + 2 = 11

A. +
B. –
C. ×
D. ÷

Option: C

×

text{56. Evaluate: }sqrt (248+ sqrt (52 + sqrt (144)))

A. 16
B. 17
C. 18
D. 19

Option: A

16

57. The average of first five multiple of 3 is –

A. 3
B. 9
C. 12
D. 15

Option: B

9

58. The sum of a number and its reciprocal is one-eight of 34. What is the product of the number and its square root?

A. 8
B. 27
C. 32
D. None of these

Option: A

8

59. The ages of Samina and Suhana are in the ratio 7:3 respectively. After 6 years, the ratio of their ages will be 5:3. What is the difference in their ages?

A. 6 years
B. 8 years
C. 10 years
D. 12 years

Option: B

8 years

60. (1000)12÷ (10)30=?

A. (1000)2
B. 10
C. 100
D. (100)2

Option: A

(1000)2

61. 10% of 5 and 5% of 10 add up to

A. 0.10
B. 0.25
C. 1.0
D. 2.5

Option: C

1.0

62. If 5% is gained by selling an article for tk 350 then selling it for Tk 340, the cost of the article is?

A. TK.50
B. TK.160
C. TK.200
D. TK.500

Option: C

TK.200

63. If 20% of A=30% of B=1/6 of C, then A:B:C is

A. 2:3:16
B. 3:2:16
C. 10:15:18
D. 15:10:18

Option: D

15:10:18

64. Reena and Shaloo are partners in a business. Reena invests Tk. 35000 for 8 months and shaloo invests Tk. 42000 for 10 months. Out of a profit of TK. 31570, Reena’s Share is

A. TK.9,471
B. TK.12,628
C. TK.18,040
D. TK.18,942

Option: B

TK.12,628

65. A group of workers promise to complete a piece of work in 10 days, but five of them do not report for work. If it took the remaining workers 12 days to complete the work, then the number of workers originally hired was

A. 15
B. 25
C. 30
D. 45

Option: C

30

66. A, B, C enter into partnership, A invests 3 times as much as B invests and B invests into two third of what C invests. At the end of the year, profit earned is tk 6600. What is the share of B?

A. 1100
B. 1150
C. 1175
D. 1200

Option: D

1200

67. 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in:

A. 18 days
B. 21 days
C. 24 days
D. 30 days

Option: B

21 days

68. Ronny and Jonny are working on an assignment. Rony takes 6 hours to type 32 page on a computer, while Jhony takes 5 hours to type 40 pages. How much time will they take, working together on two different computer to type an assignment of 110 pages?

A. 7 hours 30 minutes
B. 8 hours
C. 8 hours 15 minutes
D. 8 hours 25 minutes

Option: C

8 hours 15 minutes

69. Which of the following trains is the fastest?

A. 25 m/sec
B. 1500m/sec
C. 90km/hr
D. None of these

Option: D

None of these

70. A 50 metre long train passes over a bridge at the speed of 30 km per hour. If it takes 36 seconds to cross the bridge, what is the length of the bridge?

A. 200 meter
B. 250 meter
C. 300 meters
D. 350 meters

Option: B

250 meter

71. In what ratio must tea at TK. 62 per kg be mixed with tea at TK 72 per kg so that the mixture must be worth tk. 64.50 per kg?

A. 3:1
B. 3:2
C. 4:3
D. 5:3

Option: A

3:1

72. A person borrows tk. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6(1/4)% p.a. for 2 years. Find his gain in the transaction per year.

A. Tk. 112.50
B. Tk. 125
C. Tk. 150
D. Tk. 167.50

Option: A

Tk. 112.50

73. A man saves tk. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?

A. Tk. 565.25
B. Tk. 635
C. Tk. 662.02
D. Tk. 662.02

Option: C

Tk. 662.02

74. If the length of a rectangle is increased by 10% and it s breadth is decreased by 10% the change in its area will be

A. 1% increase
B. 1% decrease
C. 10% increase
D. No change

Option: B

1% decrease

75. In a 100m race, A beats B by 10m and C by 13m. In a race of 180m, B will best C by:

A. 5.4 m
B. 4.5 m
C. 5 m
D. 6m