Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
মোট প্রশ্ন: ৫৯
পৃষ্ঠা ১ এর ৩পরবর্তী
১
১
Windows Vista is -
ক.
an Operating system of Google
খ.
a Software runs with MS Office
গ.
a Software runs with Windows Explorer
ঘ.✓ সঠিক উত্তর
an Operating system of Microsoft
ব্যাখ্যা
Windows Vista, an operating system, was first launched by Microsoft in 2009. Notable Microsoft Operating systems are
বিষয়: তথ্য প্রযুক্তিরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Windows Vista is -
ক.
an Operating system of Google
খ.
a Software runs with MS Office
গ.
a Software runs with Windows Explorer
ঘ.✓ সঠিক উত্তর
an Operating system of Microsoft
ব্যাখ্যা
Windows Vista, an operating system, was first launched by Microsoft in 2009. Notable Microsoft Operating systems are
বিষয়: তথ্য প্রযুক্তিরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
২
২
The ratio between the length and breadth of a field is 7:5. The perimeter of the field is 360 meter. What is the area of the field ?
ক.
31000 sq. meter
খ.
31500 sq. meter
গ.✓ সঠিক উত্তর
7875 sq. meter
ঘ.
8775 sq. meter
ব্যাখ্যা
Let the length and breadth be 7x and 5x meters respectively.
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
The ratio between the length and breadth of a field is 7:5. The perimeter of the field is 360 meter. What is the area of the field ?
ক.
31000 sq. meter
খ.
31500 sq. meter
গ.✓ সঠিক উত্তর
7875 sq. meter
ঘ.
8775 sq. meter
ব্যাখ্যা
Let the length and breadth be 7x and 5x meters respectively.
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৩
৩
Roman covers 17 kilometer in 5 hours . How much time does he need to cover 10.2 kilometer ?
ক.
2.5 Hrs
খ.
3.4 Hrs
গ.
3.5 Hrs
ঘ.✓ সঠিক উত্তর
3 Hrs
ব্যাখ্যা
He can cover 17 km in 5 hrs
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Roman covers 17 kilometer in 5 hours . How much time does he need to cover 10.2 kilometer ?
ক.
2.5 Hrs
খ.
3.4 Hrs
গ.
3.5 Hrs
ঘ.✓ সঠিক উত্তর
3 Hrs
ব্যাখ্যা
He can cover 17 km in 5 hrs
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৪
৪
Arif incurred a loss of 25% by selling a used mobile phone set at taka 1500. How much could he gain/lose by selling that 2200 taka ?
ক.
10% loss
খ.
20% gain
গ.✓ সঠিক উত্তর
10% gain
ঘ.
20% loss
ব্যাখ্যা
Let the original price be A.
বিষয়: গণিতটপিক: লাভ-ক্ষতি (Profit and loss)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Arif incurred a loss of 25% by selling a used mobile phone set at taka 1500. How much could he gain/lose by selling that 2200 taka ?
ক.
10% loss
খ.
20% gain
গ.✓ সঠিক উত্তর
10% gain
ঘ.
20% loss
ব্যাখ্যা
Let the original price be A.
বিষয়: গণিতটপিক: লাভ-ক্ষতি (Profit and loss)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৫
৫
Rumi and Rony can finish a task, working together, in 12 days. If Rony alone can finish that in 20 days, how many days will Rumi need to finish the task working alone ?
ক.✓ সঠিক উত্তর
30
খ.
20
গ.
25
ঘ.
33
ব্যাখ্যা
Together the can finish 1/12 of the work in a day.
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Rumi and Rony can finish a task, working together, in 12 days. If Rony alone can finish that in 20 days, how many days will Rumi need to finish the task working alone ?
ক.✓ সঠিক উত্তর
30
খ.
20
গ.
25
ঘ.
33
ব্যাখ্যা
Together the can finish 1/12 of the work in a day.
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৬
৬
The average age of 40 employees in a branch of a bank is 35 years . When a new employee joined the bank the average age increased to 35.5 years. What is the age of the new employee ?
ক.✓ সঠিক উত্তর
55.5
খ.
50
গ.
50.5
ঘ.
20.5
ব্যাখ্যা
Total age of 40 employees = 40×35 = 1400 years
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
The average age of 40 employees in a branch of a bank is 35 years . When a new employee joined the bank the average age increased to 35.5 years. What is the age of the new employee ?
ক.✓ সঠিক উত্তর
55.5
খ.
50
গ.
50.5
ঘ.
20.5
ব্যাখ্যা
Total age of 40 employees = 40×35 = 1400 years
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৭
৭
What should be added with 15480 to make it exactly divisible by 14 ?
ক.
7
খ.
8
গ.✓ সঠিক উত্তর
4
ঘ.
6
ব্যাখ্যা
Here, 15480 ÷ 14 = 1105; remainder = 10
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
What should be added with 15480 to make it exactly divisible by 14 ?
ক.
7
খ.
8
গ.✓ সঠিক উত্তর
4
ঘ.
6
ব্যাখ্যা
Here, 15480 ÷ 14 = 1105; remainder = 10
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৮
৮
Selim deposited a total of taka 120,000 in two savings accounts for one year. One account offered him 8% interest and the other 10% . If he earned taka 10,000 as interest, how much did he deposit at 8% ?
ক.
TK. 10,000
খ.✓ সঠিক উত্তর
TK. 100,000
গ.
TK. 70,000
ঘ.
TK. 20,000
ব্যাখ্যা
Let the amount deposited at 8% and 10% interest be X and (120000 - X) respectively.
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Selim deposited a total of taka 120,000 in two savings accounts for one year. One account offered him 8% interest and the other 10% . If he earned taka 10,000 as interest, how much did he deposit at 8% ?
ক.
TK. 10,000
খ.✓ সঠিক উত্তর
TK. 100,000
গ.
TK. 70,000
ঘ.
TK. 20,000
ব্যাখ্যা
Let the amount deposited at 8% and 10% interest be X and (120000 - X) respectively.
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
৯
৯
If the purchasing price of 15 apples and selling price of 12 apples are the same then how much is the gain in percentage form ?
ক.
33.33%
খ.
15%
গ.
20%
ঘ.✓ সঠিক উত্তর
25%
ব্যাখ্যা
Purchasing price of each apple = 1/15
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
If the purchasing price of 15 apples and selling price of 12 apples are the same then how much is the gain in percentage form ?
ক.
33.33%
খ.
15%
গ.
20%
ঘ.✓ সঠিক উত্তর
25%
ব্যাখ্যা
Purchasing price of each apple = 1/15
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১০
১০
Farhana deposited TK.10,000 in a Bank at 13.25% interest rate compounded annually. At the end of the second year, the total amount including interest will become how much ?
ক.✓ সঠিক উত্তর
TK.12,826
খ.
TK. 11,844
গ.
TK. 13,000
ঘ.
TK. 14,826
ব্যাখ্যা
C = P(1 + r/n)nt [C = principal with interest, P = principal, r = rate of interest, n = number of times interest is compounded per time period, t = number of time periods]
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Farhana deposited TK.10,000 in a Bank at 13.25% interest rate compounded annually. At the end of the second year, the total amount including interest will become how much ?
ক.✓ সঠিক উত্তর
TK.12,826
খ.
TK. 11,844
গ.
TK. 13,000
ঘ.
TK. 14,826
ব্যাখ্যা
C = P(1 + r/n)nt [C = principal with interest, P = principal, r = rate of interest, n = number of times interest is compounded per time period, t = number of time periods]
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১১
১১
A bookseller can gain 6.666% if he offers a 20% commission on the written selling price of a book. If the commission is reduced to 10% , what will be his gain ?
ক.
15%
খ.
10%
গ.✓ সঠিক উত্তর
20%
ঘ.
25%
ব্যাখ্যা
Let the actual and written price be A and S respectively.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
A bookseller can gain 6.666% if he offers a 20% commission on the written selling price of a book. If the commission is reduced to 10% , what will be his gain ?
ক.
15%
খ.
10%
গ.✓ সঠিক উত্তর
20%
ঘ.
25%
ব্যাখ্যা
Let the actual and written price be A and S respectively.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১২
১২
Which of the following fractions is smaller than 8/9 and greater than 2/5 ?
ক.✓ সঠিক উত্তর
3/7
খ.
3/8
গ.
7/18
ঘ.
9/23
ব্যাখ্যা
8/9=0.88
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Which of the following fractions is smaller than 8/9 and greater than 2/5 ?
ক.✓ সঠিক উত্তর
3/7
খ.
3/8
গ.
7/18
ঘ.
9/23
ব্যাখ্যা
8/9=0.88
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৩
১৩
If the sum of (8, 5 and x ) is 21, then the average of (8, 5 and x ) is -
ক.✓ সঠিক উত্তর
7
খ.
9
গ.
2
ঘ.
3.5
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
If the sum of (8, 5 and x ) is 21, then the average of (8, 5 and x ) is -
ক.✓ সঠিক উত্তর
7
খ.
9
গ.
2
ঘ.
3.5
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৪
১৪
Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ?
ক.
30
খ.
40
গ.✓ সঠিক উত্তর
35
ঘ.
45
ব্যাখ্যা
Let the present age of son and his father be S and 5S respectively. Six years from now, their ages will be (S + 6) and (5S + 6) respectively.
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ?
ক.
30
খ.
40
গ.✓ সঠিক উত্তর
35
ঘ.
45
ব্যাখ্যা
Let the present age of son and his father be S and 5S respectively. Six years from now, their ages will be (S + 6) and (5S + 6) respectively.
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৫
১৫
A watermelon is divided into 18 equal pieces. If Naz takes 1/3 of the watermelon and Sarah takes 1/3 of the rest that are left, how many pieces are still left ?
ক.
4
খ.
6
গ.✓ সঠিক উত্তর
8
ঘ.
10
ব্যাখ্যা
Naz takes = 1/3 of 18 = 6 pieces
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
A watermelon is divided into 18 equal pieces. If Naz takes 1/3 of the watermelon and Sarah takes 1/3 of the rest that are left, how many pieces are still left ?
ক.
4
খ.
6
গ.✓ সঠিক উত্তর
8
ঘ.
10
ব্যাখ্যা
Naz takes = 1/3 of 18 = 6 pieces
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৬
১৬
50% of the people in an area read Ittefaq and 60% of the people in that area read Prothom Alo. 20% people read both the newspapers. What percent of people do not read any of the newspapers ?
ক.
20
খ.✓ সঠিক উত্তর
10
গ.
15
ঘ.
25
ব্যাখ্যা
Total = Ittefaq + Prothom Alo - Both + None
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
50% of the people in an area read Ittefaq and 60% of the people in that area read Prothom Alo. 20% people read both the newspapers. What percent of people do not read any of the newspapers ?
ক.
20
খ.✓ সঠিক উত্তর
10
গ.
15
ঘ.
25
ব্যাখ্যা
Total = Ittefaq + Prothom Alo - Both + None
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৭
১৭
A 240-meter long train crosses a pole in a platform in 8 seconds . Determine the speed of the train in km/hr.
ক.
120
খ.
140
গ.
6
ঘ.
3
ব্যাখ্যা
Velocity = Distance / time = 240 m / 8 sec = 30 m/s
বিষয়: গণিতটপিক: ট্রেন ও গতিবেগ (Train & Speed)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
A 240-meter long train crosses a pole in a platform in 8 seconds . Determine the speed of the train in km/hr.
ক.
120
খ.
140
গ.
6
ঘ.
3
ব্যাখ্যা
Velocity = Distance / time = 240 m / 8 sec = 30 m/s
বিষয়: গণিতটপিক: ট্রেন ও গতিবেগ (Train & Speed)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৮
১৮
If 6 workers can complete 1 identical job in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs ?
ক.✓ সঠিক উত্তর
5
খ.
4
গ.
6
ঘ.
3
বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
If 6 workers can complete 1 identical job in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs ?
ক.✓ সঠিক উত্তর
5
খ.
4
গ.
6
ঘ.
3
বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
১৯
১৯
A form sorting machine can sort 12 forms in 10 minutes. How many forms can it sort in one and half hours at this rate ?
ক.
150
খ.
158
গ.
152
ঘ.✓ সঠিক উত্তর
108
ব্যাখ্যা
One and half hours = 90 minutes
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
A form sorting machine can sort 12 forms in 10 minutes. How many forms can it sort in one and half hours at this rate ?
ক.
150
খ.
158
গ.
152
ঘ.✓ সঠিক উত্তর
108
ব্যাখ্যা
One and half hours = 90 minutes
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
২০
২০
The average of 100 observations in a study was calculated as 49.7 . Later it was revealed that one of the observations was misread as 64 instead of 94. What will be the correct average ?
ক.
52.5
খ.
49.8
গ.
55
ঘ.✓ সঠিক উত্তর
50
ব্যাখ্যা
The erroneous total of the obsevations = 49.7 x 100 = 4970
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009
The average of 100 observations in a study was calculated as 49.7 . Later it was revealed that one of the observations was misread as 64 instead of 94. What will be the correct average ?
ক.
52.5
খ.
49.8
গ.
55
ঘ.✓ সঠিক উত্তর
50
ব্যাখ্যা
The erroneous total of the obsevations = 49.7 x 100 = 4970
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Management Trainee Officer - 09.10.2009