ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স

ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স · তারিখ অনির্ধারিত · ২৩ প্রশ্ন

১.

The ages of Rima and Bina are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages?

ক
10 years
খ
7 years
গ
3 years
ঘ
5 years

সঠিক উত্তর: ঘ

5 years

উত্তর

সঠিক উত্তর: ঘ

5 years

ঘ

ব্যাখ্যা

Question: The ages of Rima and Bina are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages?

Solution:
Let Rima’s age be = 9x years.
Then Bina’s age = 8x years

According to the question,
(9x + 5)/(8x + 5) = 10/9
⇒ 9(9x + 5) = 10(8x + 5)
⇒ 81x + 45 = 80x + 40
⇒ 81x - 80x = 40 - 45
⇒ - x = - 5
∴ x = 5

∴ The difference in their ages = 9x - 8x = x = 5 years.

২.

The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is:

ক
12 years
খ
10 years
গ
9 years
ঘ
8 years

সঠিক উত্তর: গ

9 years

উত্তর

সঠিক উত্তর: গ

9 years

গ

ব্যাখ্যা

Question: The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is:

Solution:

The sum of the ages of three boys = 45 years

Now, (3x + 5x + 7x) = 45

⇒ 15x = 45

⇒ x = 3

So, the age of the youngest boy = 3x

= (3 × 3) years

= 9 years

৩.

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age six years back was:

ক
13 years
খ
24 years
গ
34 years
ঘ
None of these

সঠিক উত্তর: ক

13 years

উত্তর

সঠিক উত্তর: ক

13 years

ক

ব্যাখ্যা

Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

Solution:

Let, at present son is x years old

so, at the time of his birth, the father was x years old

∴ at present the age of the father is = (x + x) year

= 2x years

Now,

2x = 38

⇒ x = 38/2

∴ x = 19 years

∴ The son's age five years back was = 19 - 6

= 13 years

৪.

The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?

ক
2
খ
3
গ
4
ঘ
5

সঠিক উত্তর: গ

উত্তর

সঠিক উত্তর: গ

গ

ব্যাখ্যা

Question: The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?

Solution:

Let N be the no. of persons in the group.

Required number of person is given by;

Member in group × aged increased = difference of replacement

N × 5 = 38 - 18

Or, 5N = 20

Or, N = 4

৫.

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, then how old is B?

ক
5 years
খ
7 years
গ
22 years
ঘ
14 years

সঠিক উত্তর: ঘ

14 years

উত্তর

সঠিক উত্তর: ঘ

14 years

ঘ

ব্যাখ্যা

Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, then how old is B?

Solution:

Let, C's age be x years.

Then, B's age = 2x years.

A's age = (2x + 2) years.

According to the question,

(2x + 2) + 2x + x = 37

⇒ 5x = 37 - 2
⇒ 5x = 35

∴ x = 7

Hence, B's age = 2x = 14 years.

৬.

The average salary of all the workers in a workshop is Tk. 8,000. The average salary of 7 technicians is Tk. 12,000 and the average salary of the rest is Tk. 6,000. The total number of workers in the workshop is:

ক
17
খ
20
গ
21
ঘ
27

সঠিক উত্তর: গ

উত্তর

সঠিক উত্তর: গ

গ

ব্যাখ্যা

Question: The average salary of all the workers in a workshop is Tk. 8,000. The average salary of 7 technicians is Tk. 12,000 and the average salary of the rest is Tk. 6,000. The total number of workers in the workshop is:

Solution:
Let the number of rest workers = x

Now, According to the question,
(7 + x) × 8000 = 12000 × 7 + 6000x
⇒ 56000 + 8000x = 84000 + 6000x
⇒ 2000x = 28000
⇒ x = 14

So the total number of worker
= 14 + 7
= 21

৭.

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

ক
6 years
খ
4 years
গ
8 years
ঘ
12 years

সঠিক উত্তর: ক

6 years

উত্তর

সঠিক উত্তর: ক

6 years

ক

ব্যাখ্যা

Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

Solution:
Ayesha's brother is 4 years younger than her.

Ayesha's mother was 36 years old when her brother was born.

So, the age of Ayesha's mother when she was born = 36 - 4 years = 32 years.

And when Ayesha was born her father's age = 38 years

∴ The difference between the ages of her parents = 38 - 32 years

= 6 years

৮.

The present ages of the three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

ক
16, 20, 28
খ
14, 24, 36
গ
16, 28, 36
ঘ
20, 36, 48

সঠিক উত্তর: গ

16, 28, 36

উত্তর

সঠিক উত্তর: গ

16, 28, 36

গ

ব্যাখ্যা

Question: The present ages of the three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

Solution:

Let their present ages be 4x, 7x and 9x years respectively.

Then, (4x - 8) + (7x - 8) + (9x - 8) = 56

⇒ 20x = 80

⇒ x = 4

∴ Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.

৯.

The average weight of 47 balls is 4 g. If the weight of the bag (in which the balls are kept) be included; the calculated average weight per ball increases by 0.3 g. What is the weight of the bag?

ক
14.1 g
খ
16.1 g
গ
18.1 g
ঘ
30 g

সঠিক উত্তর: ক

14.1 g

উত্তর

সঠিক উত্তর: ক

14.1 g

ক

ব্যাখ্যা

Question: The average weight of 47 balls is 4 g. If the weight of the bag (in which the balls are kept) be included; the calculated average weight per ball increases by 0.3 g. What is the weight of the bag?

Solution:

Total increased weight

= 0.3 × 47

= 14.1 g

১০.

The age of a mother today is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter. The present age of the daughter is = ?

ক
24 Years
খ
20 Years
গ
16 Years
ঘ
12 Years

সঠিক উত্তর: ঘ

12 Years

উত্তর

সঠিক উত্তর: ঘ

12 Years

ঘ

ব্যাখ্যা

Question: The age of a mother today is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter. The present age of the daughter is = ?

Solution:
Let, the daughter's age be x years
Then, mother's age = 3x years

According to the question,
3x + 12 = 2 (x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
∴ x = 12

১১.

A pupil's marks were wrongly entered as 83 instead of 63. Due to that, the average marks for the class got increased by half. The number of pupils in the class is:

ক
40
খ
30
গ
25
ঘ
17

সঠিক উত্তর: ক

উত্তর

সঠিক উত্তর: ক

ক

ব্যাখ্যা

Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that, the average marks for the class got increased by half. The number of pupils in the class is:

Solution:
Let there be 'p' pupils in the class.

Total increase in marks = p × 1/2= p/2
∴ p/2 = (83 - 63)
⇒ p/2 = 20
⇒ p = 40

Hence, The number of pupils in the class is = 40

১২.

Ten years ago, a man was seven times as old as his son. Two years hence, twice his age will be equal to five times the age of his son. What is the present age of the son?

ক
8 years
খ
10 years
গ
12 years
ঘ
14 years

সঠিক উত্তর: ঘ

14 years

উত্তর

সঠিক উত্তর: ঘ

14 years

ঘ

ব্যাখ্যা

Question: Ten years ago, a man was seven times as old as his son. Two years hence, twice his age will be equal to five times the age of his son. What is the present age of the son?

Solution:

Let the son's age 10 years ago be x years

Then, man's age 10 years ago = 7x years

Son's present age = (x + 10) years,

Man's present age = (7x + 10) years

According to the question,
2[(7x + 10) + 2] = 5[(x + 10) + 2]

⇒ 2(7x + 12) = 5(x + 12)

⇒ 14x + 24 = 5x + 60

⇒ 9x = 36

⇒ x = 4

Son's present age = (x + 10) years

= (4 + 10) years

= 14 years

১৩.

The average of runs of a cricket player of 10 innings was 32. How many runs must be made in his next innings so as to increase his average of runs by 4?

ক
20
খ
76
গ
86
ঘ
29

সঠিক উত্তর: খ

উত্তর

সঠিক উত্তর: খ

খ

ব্যাখ্যা

Question: The average of runs of a cricket player of 10 innings was 32. How many runs must be made in his next innings so as to increase his average of runs by 4?

Solution:

Average after 11 innings = 36

Required number of runs,

= ( 36 × 11) - (32 × 10)

= 396 - 320

= 76

১৪.

The present age of the daughter is half of the present age of her mother. Ten years ago, her mother's age was thrice the age of her daughter. What is the present age of the daughter?

ক
35 years
খ
30 years
গ
25 years
ঘ
20 years

সঠিক উত্তর: ঘ

20 years

উত্তর

সঠিক উত্তর: ঘ

20 years

ঘ

ব্যাখ্যা

Question: The present age of the daughter is half of the present age of her mother. Ten years ago, her mother's age was thrice the age of her daughter. What is the present age of the daughter?

Solution:

Let the mother's age be 2x years
Then, the daughter's age = x years

According to the question,

2x - 10 = 3(x - 10)

⇒ 2x - 10 = 3x - 30

⇒ x = 20

∴ The present age of the daughter is 20 years.

১৫.

A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentage of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school.

ক
72%
খ
78%
গ
66%
ঘ
62%

সঠিক উত্তর: গ

66%

উত্তর

সঠিক উত্তর: গ

66%

গ

ব্যাখ্যা

Question: A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentage of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school.

Solution:
Here,
10 of 20% = 2
20 of 30% = 6
30 of 60% = 18
40 of 100% = 40

The number of pass candidates are 2 + 6 + 18 + 40 = 66 out of total 100.

Hence, Pass percentage = 66%

১৬.

The average of the first five multiples of 3 is:

ক
12
খ
15
গ
9
ঘ
3

সঠিক উত্তর: গ

উত্তর

সঠিক উত্তর: গ

গ

ব্যাখ্যা

Question: The average of the first five multiples of 3 is:

Solution:
The first five multiples of 3 are:
3, 6, 9, 12, 15.

∴ Average = (3 + 6 + 9 + 12 + 15)/5
= 45/5
= 9

১৭.

Asma's age is 1/6th of her father's age. Asma's father's age will be twice of Bahar's age after 10 years. If Bahar's 8th birthday was celebrated 2 years ago, then what is Asma's present age?

ক
5 years
খ
7 years
গ
10 years
ঘ
None of these

সঠিক উত্তর: ক

5 years

উত্তর

সঠিক উত্তর: ক

5 years

ক

ব্যাখ্যা

Question: Asma's age is 1/6th of her father's age. Asma's father's age will be twice of Bahar's age after 10 years. If Bahar's 8th birthday was celebrated 2 years ago, then what is Asma's present age?

Solution:
Bahar's age after 10 years = (8 + 2 + 10) years = 20 years.

Asma's father's age after 10 years = 40 years.

Asma's father's present age = 30 years.

∴ Asma's present age = 30/6 = 5 years.

১৮.

The average temperature on Wednesday, Thursday and Friday was 25°. The average temperature on Thursday, Friday and Saturday was 24°. If the temperature on Saturday was 27°, what was the temperature on Wednesday?

ক
21°
খ
27°
গ
30°
ঘ
32°

সঠিক উত্তর: গ

30°

উত্তর

সঠিক উত্তর: গ

30°

গ

ব্যাখ্যা

Question: The average temperature on Wednesday, Thursday and Friday was 25°. The average temperature on Thursday, Friday and Saturday was 24°. If the temperature on Saturday was 27°, what was the temperature on Wednesday?

Solution:

The total temperature on Wednesday, Thursday and Friday was 25° × 3 = 75°
The total temperature on Thursday, Friday and Saturday was 24° × 3 = 72°

Hence, the difference between the temperature on Wednesday and Saturday = 3°

If Saturday temperature =27°,
Then Wednesday's temperature = 27 + 3 = 30°

১৯.

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

ক
12 years
খ
22 years
গ
6 years
ঘ
4 years

সঠিক উত্তর: ঘ

4 years

উত্তর

সঠিক উত্তর: ঘ

4 years

ঘ

ব্যাখ্যা

Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

Solution:
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
⇒ 5x + 30 = 50
⇒ 5x = 50 - 30

⇒ 5x = 20

⇒ x = 4

∴ Age of the youngest child = x = 4 years.

২০.

The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:

ক
19.68
খ
20
গ
29.68
ঘ
23

সঠিক উত্তর: গ

29.68

উত্তর

সঠিক উত্তর: গ

29.68

গ

ব্যাখ্যা

Question: The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:

Solution:

The total sum of 48 numbers,

= (50 × 30) - (35 +40)

= 1500 - 75

= 1425

Average = 1425/48 = 29.68

২১.

A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

ক
24 years
খ
22 years
গ
20 years
ঘ
30 years

সঠিক উত্তর: ক

24 years

উত্তর

সঠিক উত্তর: ক

24 years

ক

ব্যাখ্যা

Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

Solution:
Let the son's present age be x years.
Then, the man's present age = (x + 26) years.

∴ (x + 26) + 2 = 2(x + 2)

⇒ x + 28 = 2x + 4

⇒ x = 24

∴ The present age of his son = 24 years.

২২.

A passenger travels from Dhaka to Cumilla at a speed of 30 kmph and return with a speed of 60 kmph. What is the average speed?

ক
17 kmph
খ
20 kmph
গ
30 kmph
ঘ
40 kmph

সঠিক উত্তর: ঘ

40 kmph

উত্তর

সঠিক উত্তর: ঘ

40 kmph

ঘ

ব্যাখ্যা

Question: A passenger travels from Dhaka to Cumilla at a speed of 30 kmph and return with a speed of 60 kmph. What is the average speed?

Solution:
Let the total distance be 60 km [L.C.M. of 30 kmph and 60 kmph]

Time to cover 60 km distance at the speed of 30 km/hr = 60/30 = 2 hrs
Time to cover 60 km distance at the speed of 60 km/hr = 60/60 = 1 hr

Total distance = 60 + 60 = 120 km

Total time = 2 hrs + 1 hrs = 3 hrs

∴ Average speed = 120/3 = 40 km/hr

২৩.

Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E?

ক
55 years
খ
65 years
গ
95 years
ঘ
45 years

সঠিক উত্তর: ঘ

45 years

উত্তর

সঠিক উত্তর: ঘ

45 years

ঘ

ব্যাখ্যা

Question: Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E?

Solution:

Total present age of A, B, C and D

= (45 × 4) + (4 × 5) years

= 200 years

Total age present age of A, B, C, D and E

= (49 × 5) years

= 245 years

So, Age of E = 45 years