Dutch-Bangla Bank Ltd - Officer - 2004
মোট প্রশ্ন: ৮৫
পৃষ্ঠা ১ এর ৫পরবর্তী
১
১
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent . The series of successive discount is equivalent to a single discount of -
ক.
20%
খ.✓ সঠিক উত্তর
19%
গ.
18%
ঘ.
11%
ব্যাখ্যা
Shortcut method:
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent . The series of successive discount is equivalent to a single discount of -
ক.
20%
খ.✓ সঠিক উত্তর
19%
গ.
18%
ঘ.
11%
ব্যাখ্যা
Shortcut method:
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
২
২
Total payroll expense of a certain business in year Y was TK. 84,000 ; which was 20% more than in year X . What was the total payroll expense (in Taka) in year X ?
ক.✓ সঠিক উত্তর
70,000
খ.
68.320
গ.
64,000
ঘ.
60,000
ব্যাখ্যা
Let the total payroll expense in year X be X TK.
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
Total payroll expense of a certain business in year Y was TK. 84,000 ; which was 20% more than in year X . What was the total payroll expense (in Taka) in year X ?
ক.✓ সঠিক উত্তর
70,000
খ.
68.320
গ.
64,000
ঘ.
60,000
ব্যাখ্যা
Let the total payroll expense in year X be X TK.
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৩
৩
Reza earns TK.8.50 per hour on days than Sundays and twice that rate on Fridays, Last week he worked a total of 40 hours , including 8 hours on Friday. What was his total earning, in Taka , for that week ?
ক.
272
খ.
340
গ.
398
ঘ.✓ সঠিক উত্তর
408
ব্যাখ্যা
Friday Earning = 8 * 8.50 * 2 = 136
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
Reza earns TK.8.50 per hour on days than Sundays and twice that rate on Fridays, Last week he worked a total of 40 hours , including 8 hours on Friday. What was his total earning, in Taka , for that week ?
ক.
272
খ.
340
গ.
398
ঘ.✓ সঠিক উত্তর
408
ব্যাখ্যা
Friday Earning = 8 * 8.50 * 2 = 136
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৪
৪
In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective ?
ক.
6.5%
খ.✓ সঠিক উত্তর
7.0%
গ.
7.5%
ঘ.
8.0%
ব্যাখ্যা
Defective parts in the shipment of 120
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective ?
ক.
6.5%
খ.✓ সঠিক উত্তর
7.0%
গ.
7.5%
ঘ.
8.0%
ব্যাখ্যা
Defective parts in the shipment of 120
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৫
৫
If 3 is added to both numerator and denominator of a fraction , it becomes 5/7. If 9 is subtracted from both numerator and denominator, it becomes 1/3. What is the fraction ?
ক.
15/21
খ.✓ সঠিক উত্তর
12/18
গ.
18/32
ঘ.
10/17
ব্যাখ্যা
Let, numerator = x, denominator = y
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
If 3 is added to both numerator and denominator of a fraction , it becomes 5/7. If 9 is subtracted from both numerator and denominator, it becomes 1/3. What is the fraction ?
ক.
15/21
খ.✓ সঠিক উত্তর
12/18
গ.
18/32
ঘ.
10/17
ব্যাখ্যা
Let, numerator = x, denominator = y
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৬
৬
If x% of y is 10, then what is y ?
ক.
10/x
খ.
100/x
গ.✓ সঠিক উত্তর
1,000/x
ঘ.
x/100
ব্যাখ্যা
x% of y = 10
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
If x% of y is 10, then what is y ?
ক.
10/x
খ.
100/x
গ.✓ সঠিক উত্তর
1,000/x
ঘ.
x/100
ব্যাখ্যা
x% of y = 10
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৭
৭
If 3x-4>8, then
ক.
x=4
খ.
x=0
গ.
x<4
ঘ.✓ সঠিক উত্তর
x>4
ব্যাখ্যা
3x - 4>8
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
If 3x-4>8, then
ক.
x=4
খ.
x=0
গ.
x<4
ঘ.✓ সঠিক উত্তর
x>4
ব্যাখ্যা
3x - 4>8
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৮
৮
The length of a rectangle is 6 cm , and its perimeter is 16 cm. What is the area of the rectangle is square centimeters ?
ক.✓ সঠিক উত্তর
12
খ.
16
গ.
18
ঘ.
24
ব্যাখ্যা
We know, 2(length + width) = perimeter
বিষয়: গণিতটপিক: চতুর্ভুজ (Quadrilateral)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
The length of a rectangle is 6 cm , and its perimeter is 16 cm. What is the area of the rectangle is square centimeters ?
ক.✓ সঠিক উত্তর
12
খ.
16
গ.
18
ঘ.
24
ব্যাখ্যা
We know, 2(length + width) = perimeter
বিষয়: গণিতটপিক: চতুর্ভুজ (Quadrilateral)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
৯
৯
The receptionist at a veterinary clinic reviewed the office records and found that 3 out of every 8 animals treated at the clinic during the last 4 months were cats. At this rate, how many cats will be treated during the next 12 weeks if a total 288 animals are treated ?
ক.✓ সঠিক উত্তর
108
খ.
96
গ.
36
ঘ.
24
ব্যাখ্যা
Number of cats out of 8 animals is 3
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
The receptionist at a veterinary clinic reviewed the office records and found that 3 out of every 8 animals treated at the clinic during the last 4 months were cats. At this rate, how many cats will be treated during the next 12 weeks if a total 288 animals are treated ?
ক.✓ সঠিক উত্তর
108
খ.
96
গ.
36
ঘ.
24
ব্যাখ্যা
Number of cats out of 8 animals is 3
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১০
১০
The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers ?
ক.
42
খ.
50
গ.
57
ঘ.✓ সঠিক উত্তর
72
ব্যাখ্যা
Let x represent the smallest number. Then the other number are x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest.
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers ?
ক.
42
খ.
50
গ.
57
ঘ.✓ সঠিক উত্তর
72
ব্যাখ্যা
Let x represent the smallest number. Then the other number are x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest.
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১১
১১
A box contains 10 balls, some are red and some are black . Each of the following could be the ratio of the red to black balls except-
ক.
1:1
খ.
3:2
গ.
4:1
ঘ.✓ সঠিক উত্তর
5:1
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
A box contains 10 balls, some are red and some are black . Each of the following could be the ratio of the red to black balls except-
ক.
1:1
খ.
3:2
গ.
4:1
ঘ.✓ সঠিক উত্তর
5:1
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১২
১২
The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man ?
ক.
53
খ.
55
গ.✓ সঠিক উত্তর
57
ঘ.
59
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man ?
ক.
53
খ.
55
গ.✓ সঠিক উত্তর
57
ঘ.
59
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৩
১৩
A cake is made into 18 pieces . If syma takes 1/3 of the cake and Robin 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
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
A cake is made into 18 pieces . If syma takes 1/3 of the cake and Robin 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
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৪
১৪
B and C are points on straight line AD, on which AB=BC=CD. What percent of AC is AD ?
ক.
1.5%
খ.
50%
গ.
66.67%
ঘ.✓ সঠিক উত্তর
150%
ব্যাখ্যা
A-----B-----C-----D
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
B and C are points on straight line AD, on which AB=BC=CD. What percent of AC is AD ?
ক.
1.5%
খ.
50%
গ.
66.67%
ঘ.✓ সঠিক উত্তর
150%
ব্যাখ্যা
A-----B-----C-----D
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৫
১৫
There are 20 members on a football squad. In electing a captain and a vice-captain, how many different outcomes of the election are possible ?
ক.
20
খ.
39
গ.✓ সঠিক উত্তর
190
ঘ.
380
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
There are 20 members on a football squad. In electing a captain and a vice-captain, how many different outcomes of the election are possible ?
ক.
20
খ.
39
গ.✓ সঠিক উত্তর
190
ঘ.
380
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৬
১৬
Out of a group of 80 applicants for a public service examination, 20 persons failed to appear for the first part of the test. What percent of the total applicants appeared for this part of the test ?
ক.
4%
খ.
16%
গ.
25%
ঘ.✓ সঠিক উত্তর
75%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
Out of a group of 80 applicants for a public service examination, 20 persons failed to appear for the first part of the test. What percent of the total applicants appeared for this part of the test ?
ক.
4%
খ.
16%
গ.
25%
ঘ.✓ সঠিক উত্তর
75%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৭
১৭
Mr. Rahim who is 28 years of age has a son who is 4 years old. In how many years will Mr. Rahim be 4 times as old as his son ?
ক.
1
খ.
2
গ.
3
ঘ.✓ সঠিক উত্তর
4
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
Mr. Rahim who is 28 years of age has a son who is 4 years old. In how many years will Mr. Rahim be 4 times as old as his son ?
ক.
1
খ.
2
গ.
3
ঘ.✓ সঠিক উত্তর
4
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৮
১৮
Points A, B, X and Y are in the same line but not necessarily in that order. Given the lengths AB=12, BX=2, XY=8, what is the length AY ?
ক.
2
খ.
6
গ.
18
ঘ.✓ সঠিক উত্তর
Cannot be determined
বিষয়: গণিতটপিক: সরল-সহসমীকরণ (Simultaneous linear equations)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
Points A, B, X and Y are in the same line but not necessarily in that order. Given the lengths AB=12, BX=2, XY=8, what is the length AY ?
ক.
2
খ.
6
গ.
18
ঘ.✓ সঠিক উত্তর
Cannot be determined
বিষয়: গণিতটপিক: সরল-সহসমীকরণ (Simultaneous linear equations)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
১৯
১৯
If N and P are both odd numbers, which of the following numbers must be an even number ?
ক.✓ সঠিক উত্তর
N+P
খ.
NP
গ.
NP+2
ঘ.
N+P+1
ব্যাখ্যা
We know, odd+odd=even
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
If N and P are both odd numbers, which of the following numbers must be an even number ?
ক.✓ সঠিক উত্তর
N+P
খ.
NP
গ.
NP+2
ঘ.
N+P+1
ব্যাখ্যা
We know, odd+odd=even
বিষয়: গণিতরেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
২০
২০
If the area of rectangle R with length 4 feet is equal to the area of square S, which has a perimeter of 24 feet , then the perimeter of rectangle R equals -
ক.
9 Feet
খ.
16 Feet
গ.
24 Feet
ঘ.✓ সঠিক উত্তর
26 Feet
ব্যাখ্যা
Side of the square S = 24/4 = 6
বিষয়: গণিতটপিক: চতুর্ভুজ (Quadrilateral)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004
If the area of rectangle R with length 4 feet is equal to the area of square S, which has a perimeter of 24 feet , then the perimeter of rectangle R equals -
ক.
9 Feet
খ.
16 Feet
গ.
24 Feet
ঘ.✓ সঠিক উত্তর
26 Feet
ব্যাখ্যা
Side of the square S = 24/4 = 6
বিষয়: গণিতটপিক: চতুর্ভুজ (Quadrilateral)রেফারেন্স: Dutch-Bangla Bank Ltd - Officer - 2004