## Uttara Bank Probationary Officer-2017

__Mathematics:__

__Mathematics:__

**51.** Simplify: (87×87×61×61−2×87×61)

A. 660

B. 676

C. 696

D. 706

### View Answer

**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

### View Answer

**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

### View Answer

**Option: A**

43500

**54.** Evaluate: 11.11+111.1+1111.11

A. 1233.32

B. 1236.33

C. 1238.35

D. 1239.36

### View Answer

**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. ÷

### View Answer

**Option: C**

×

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

A. 16

B. 17

C. 18

D. 19

### View Answer

**Option: A**

16

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

A. 3

B. 9

C. 12

D. 15

### View Answer

**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

### View Answer

**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

### View Answer

**Option: B**

8 years

**60.** (1000)^{12}÷ (10)^{30}=?

A. (1000)^{2}

B. 10

C. 100

D. (100)^{2}

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**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

### View Answer

**Option: A**

5.4 m