Organization Name: Dhaka Bank PLC
Exam type: MCQ + Written
1. Management Trainee Officer
2. Trainee Assistant Officer
3. Trainee Assistant Cash Officer
Exam Time: 10 AM
Written Math: MTO
Question-1: A foot race had 36 teams of a dozen runners each. By noon, 4/9 of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o’clock. How many teams had not finished the race by one o’clock?
Answer: 6
race finished =36*4/9
=16
by o’clock=20*.70
=14
by 1 o clock not finished =20-14=6(Ans)
Question-2: John spent 40 percent of his earnings last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month’s earnings did John have left over?
Answer:32%
let total earnings=100
rent=40
new dishwasher=40-40*.3
=40-12
=28
leftover=100-40-28=32%(Ans)
Question-3: If a + 2b = 6 and ab = 4 what is 2/a + 1/b?
Answer:3/2
2/a+1/b
=a+2b/ab
=6/4
=3/2
Question-4: If a^x=b, b^y=c, c^z=a, what is xyz
Answer:1
Question-5: To fill an art exhibit, the students in an art course are assigned to create one piece of artwork each in the following distribution: 1⁄3 are sculptures, 1⁄8 are oil paintings, 1⁄2 are watercolors and the remaining 10 pieces are mosaics. How many students are in the art class?
1-(1/3+1/2+1/8)
=1-16+24+6/48
=1-46/48
=1/24
1/24—-10
1——–240
Trainee Assistant Cash Officer:
MCQ Math:
1. If logx 32 = 5, the value of x is:
==>
Given, logx 32 = 5
=> x^5 = 32 = 2^5
=> x = 2. ans.
2. A man sold his cow for Tk. 7920 and gained 10%. The buying price of the cow was:
==>
110% of the buying price = 7920
100% of the buying price = 7920×100/110 = 7200. ans.
3. If Sufian’s salary is 25% more than that of Habib, what is the ratio of Habib’s salary of Habib and Sufian?
==>
If Habib’s salary is 100, then Sufian’s salary is 100+25 = 125.
Ratio (Habib : Sufian) = 100 : 125 = 4 : 5 = 4/5 = 0.8. ans.
4. What is 35% of (11/56 × 160)?
==>
35% of (11/56 × 160) = (11/56) × (160) × (35/100) = 11. ans.
5. What is the angle that is half of its own complement?
==>
If the angle is x°, then its complement is (90-x)°
According to the question,
2x = 90-x
=> 3x = 90
=> x = 30. ans.
6. If 5a = 3b = 20, then 45ab =
==>
5a = 20
3b = 20
———–
15ab = 400
3×15ab = 45ab = 400×3 = 1200. ans.
7. How many times does the digit ‘4’ comes to write numbers from 10 to 100?
==>
14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84, 94 => 19 times. ans.
8. Which of the following is the lowest positive integer that is divisible by 8, 9, 10, 11 and 12?
==>
LCM of 8, 9, 10, 11, and 12 = 3960. ans.
9. If a and b are two different prime numbers, which of the following is the smallest possible value of a+b ?
==>
To get the smallest possible value of a+b, we need to take the least two prime numbers fro a and b.
The required sum is = 2+3 = 5. ans.
10. 3xy – 20 + 5x – 12y = ?
==>
3xy -20 + 5x – 12y
= 5x – 20 + 3xy – 12y
= 5(x-4) + 3y(x-4)
= (x-4)(3y+5). ans.
Written Math:
35-A: A triangular plot with sides 25 feet, 40 feet and 55 feet is to surrounded by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?
==>
To fence the 25 feet long side, required number of pillars = (25÷5) + 1 = 6
To fence the 40 feet long side, required number of pillars = (40÷5) + 1 = 9
To fence the 55 feet long side, required number of pillars = (55÷5) + 1 = 12
As the plot is triangular and each of the two sides have a common vertex, total number of pillars needed = (6+9+12) – (1×3) = 24.
Answer: 24 pillars.
35-B: In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are talking both courses. How many students are not enrolled in either course?
==>
In the class of 78 students, there are four groups of students:
i. Taking both French and German = 9 students (given)
ii. Taking only French = 41-9 = 32
iii. Taking only German = 22-9 = 13
iv. Taking neither French nor German = x.
So, x+9+32+13 = 78
=> x + 54 = 78
=> x = 78-54 = 24.
Answer: 24.
35-C: The average age of 12 children is 15 years. If another child comes the average age comes to 14. What is the age of the new child?
==>
The average age of 12 children = 15 years.
So, the total age of 12 children = 15×12 = 180 years.
After the new children comes,
The average age of 12+1 = 13 children = 14 years.
So, the total age of 13 children = 14×13 = 182 year.s
Therefore, the age of the new child is = 182-180 = 2 years.
Answer: 2 years.
35-D: Find the value of n, if 27^(-1/3)n = 243
==>
27^(-1/3)n = 243
=> 27^(-n/3) = 243
=> 3^3(-n/3) = 3^5
=> 3(-n/3) = 5
=> -n = 5
=> n = -5.
Answer: (-5).
35-E: If 16+4x is 10 more than 14, what is the value of 8x?
==>
16+4x is 10 more than 14
=> (16+4x) – 14 = 10
=> 16+4x-14 = 10
=> 4x = 10-2
=> 4x = 8
=> x = 2.
So, 8x = 8×2 = 16
Answer: 16.
Organization Name: Dhaka Bank PLC
Post Name:
1. Management Trainee Officer (MTO)
2. Trainee Officer (TO)
Exam date: 4 May 2018
Exam time: 03:00 PM to 4.20 PM
Post: Trainee Officer (TO)
Exam date: 4 May 2018
Exam time: 03:00 PM to 4.20 PM
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