1021 . A mother said to her daughter- " I was as old as you are at present at the time of your birth". If the mother's age is 38 years now, the daughter's is 5 years back was-

A. 19
B. 15
C. 14
D. 33

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Answer: Option C

Explanation:

মনে করি, কন্যার বর্তমান বয়স = x বছর
.:.মাতার বর্তমান বয়স = (x + x)বছর
= 2x বছর
প্রশ্নমতে, 2x = 38
⇒ x = 19
.:. কন্যার বর্তমান বয়স = 19বছর
তাহলে, 5 বছর পূর্বে কন্যার বয়স ছিল = (19 - 5)বছর
= 14 বছর

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সমন্বিত ৪ ব্যাংক - সহকারী প্রোগ্রামার - 25.09.2020

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1022 . A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

A. 4 km/hr
B. 5 km/hr
C. 6 km/hr
D. 10 km/hr

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Answer: Option B

Explanation:

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সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 240 km
B. 270 km
C. 300 km
D. 360 km

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Answer: Option D

Explanation:

Time taken by the the motorcyclist = 5 hours

Speed while covering 1/3rd distance of the distance = 60 km/hr

Speed while covering 2/3rd of the distance = 80 km/h

Formula Used:

Time = Distance/Speed

Calculation:

Let the length of the entire journey = 3a

As per the question;

(3a × 1/3)/60 + (3a × 2/3)/80 = 5

বা,a/60 + 2a/80 = 5

বা, (4a + 6a)/240 = 5

বা, 10a/240 = 5

বা, a = 120

বা, 3a = 3 × 120 = 360.

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 30
B. 32
C. 40
D. None of these

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Answer: Option A

Explanation:

= 180 - (50*3) hrs

= 180 - 150 hrs

= 30 hrs.

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Bangladesh Bank - Officer - 2001

A. 35
B. 37
C. 37.5
D. 40

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Answer: Option C

Explanation:

Total time spent in the whole journy = 150/50 + 150/30 = 3 + 5 = 8 hours

The average speed of the whole journy = total distance/total time = (150 + 150)/8 = 37.5 km/hr

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1026 . A natural number when increased by 12, equals 160 times reciprocal. The number is-

A. 16
B. 8
C. 6
D. 18

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Answer: Option B

Explanation:

Step 1: Construct the equation based on given condition.
let the required natural number be x.
According to the question,
x+12=160x
On multiplying by x on both sides, we get
x^2+12x−160=0,

Step 2: Find roots using factorization.
By splitting the middle term, we get :
⇒x^2+(20x−8x)−160=0
⇒x^2+20x−8x−160=0
⇒x(x+20)−8(x+20)=0
⇒(x+20)(x−8)=0
⇒x=8
[x≠−20 because it is not a natural number]
hence, the required natural number is 8.

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বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 145
B. 253
C. 370
D. 352
E. None of these

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Answer: Option B

Explanation:

The sum of the three digits is 10: A + B + C = 10

The middle digit (B) is equal to the sum of the other two digits (A and C): B = A + C

The number will be increased by 99 if its digits are reversed. This means that if we reverse the order of the digits, we get a new number that is 99 greater than the original number.

Now, let's use this information to solve for the values of A, B, and C.

From equation 1, we know that A + B + C = 10.

From equation 2, we know that B = A + C.

Now, we can substitute the value of B from equation 2 into equation 1:

A + (A + C) + C = 10

Simplify the equation:

2A + 2C = 10

Divide both sides by 2:

A + C = 5

Now, we have two equations:

A + C = 5
B = A + C
Since B = A + C and A + C = 5, we can conclude that B = 5.

Now that we know B is 5, we can use the fact that the number will be increased by 99 if its digits are reversed. This means that the original number is 99 less than the reversed number.

Let's represent the original number as ABC and the reversed number as CBA. The difference between the reversed and original numbers is 99:

CBA - ABC = 99

Now, substitute the values of B (5) and A + C (5) into the equations:

(100C + 10B + A) - (100A + 10B + C) = 99

Now, simplify:

100C + 10B + A - 100A - 10B - C = 99

Combine like terms:

99C - 99A = 99

Now, divide both sides by 99:

C - A = 1

Now, we have two equations:

A + C = 5
C - A = 1
Solve this system of equations:

From equation 2, we can express C in terms of A: C = A + 1.

Now, substitute this into equation 1:

A + (A + 1) = 5

Combine like terms:

2A + 1 = 5

Subtract 1 from both sides:

2A = 4

Divide by 2:

A = 2

Now that we know A is 2, we can find C:

C = A + 1 = 2 + 1 = 3

So, A = 2, B = 5, and C = 3. Therefore, the number is ABC = 253.

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দুর্নীতি দমন কমিশনের সহকারী পরিচালক-১২.০৪.২০১৩

A. 73
B. 82
C. 91
D. 95

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Answer: Option C

Explanation:

Let's use algebra to solve this problem. Let the two-digit number be represented as 10a + b, where 'a' is the tens digit and 'b' is the units digit.

We are given two conditions:

The sum of the digits is 10, so we can write the equation: a + b = 10

When 72 is subtracted from the number, the digits are interchanged. This means that 10a + b - 72 becomes 10b + a. We can write this as another equation: 10a + b - 72 = 10b + a

Now, let's solve this system of equations:

From equation 1, we can express 'b' in terms of 'a': b = 10 - a

Substitute this expression for 'b' into equation 2: 10a + (10 - a) - 72 = 10(10 - a) + a

Now, simplify and solve for 'a': 10a + 10 - a - 72 = 100 - 10a + a

Combine like terms: 9a + 10 - 72 = 100 - 9a

Subtract 10 from both sides: 9a - 62 = 100 - 9a

Add 9a to both sides: 18a - 62 = 100

Add 62 to both sides: 18a = 162

Divide by 18: a = 9

Now that we have found 'a' to be 9, we can find 'b' using the first equation: a + b = 10 9 + b = 10

Subtract 9 from both sides: b = 10 - 9 b = 1

So, the tens digit 'a' is 9, and the units digit 'b' is 1. Therefore, the two-digit number is 91.

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1029 . A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by which of the following?

A. 3
B. 5
C. 5
D. 11
E. None of these

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Answer: Option D

Explanation:

ধরি, দুটি সংখ্যা ১৫ ও ১২।

তাহলে ১৫ কে interchange করে পাই ৫১। অর্থাৎ,১৫+৫১=৬৬

আবার ১২ কে interchange করে পাই ২১। অর্থাৎ,১২+২১=৩৩

৬৬ এবং ৩৩ উভয়েই ১১ দ্বারা বিভাজ্য।

উত্তর: ১১

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1030 . A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number its digits are interchanged. Find the number .

A. 81
B. 72
C. 27
D. 54

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Answer: Option A

Explanation:

Let X and Y be the digits of decimal and unit places respectively. So, the number is 10X + Y. If 63 is subtracted from the number, it becomes 10Y + X.

Now, X + Y = 9 - - - - - - - (i)

Again, 10X + Y - 63 = 10Y + X

or, 10X - X + Y - 10Y = 63

or, 9X - 9Y = 63

or, X - Y = 63/9

or, X - Y = 7 - - - - - - (ii)

[(i) + (ii)]>> X + Y + X - Y = 9 + 7

or, 2X = 16

or, X = 8

So, 8 + Y = 9

or, Y = 9 - 8 = 1

So, the number is 81.

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1031 . A number is 250 percent of another number . If the sum of the numbers is 98 . Find the value of the larger number?

A. 58
B. 60
C. 66
D. 70

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Answer: Option D

Explanation:

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প্রধান প্রশাসনিক কর্মকর্তার কার্যালয় ( প্রতিরক্ষা মন্ত্রণালয়) সহকারী পরিচালক ০৫.০৪.২০১৯

A. 51
B. 61
C. 71
D. 81

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Answer: Option B

Explanation:

Let the number be x

x - 36 = 86 - x

2x = 122

x = 122 ÷ 2 = 61

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1033 . A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number?

A. 3.5
B. 6
C. 8
D. None of these

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Answer: Option C

Explanation:

Hints: ধরি সংখ্যটি, x

তাহলে, 3{2x + 9} = 75

2x + 9 = 25

2x = 25 - 9

x = 8

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1034 . A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

A. None of these
B. 6
C. 8
D. 3.5

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Answer: Option C

Explanation:

ধরি, সংখ্যাটি x

( 2x + 9) × 3 = 75

2x + 9 = 25

2x = 16

x = 8

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পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

A. 8
B. 5
C. 6
D. 7

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Answer: Option D

Explanation:

10>x>6

Here, x must be one from 7,8,9

8>x>3

Here, x must be one from 4,5,6,7

So, the only ans is 7 as per both of the conditions

(ans)

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1021 . A mother said to her daughter- " I was as old as you are at present at the time of your birth". If the mother's age is 38 years now, the daughter's is 5 years back was-

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1022 . A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

1023 . A motorcyclist completes a certain journey in 5 hours. He covers one-third distance at 60 km/hour and the rest 80 km/hour. The length of the journey is-

1024 . A motorist must complete 180-mile trip is 4 hours. If he averages 50 miles an hour for the first three hours of the trip , how fast must ( in terms of mile per hour ) he travel in the last hour ?

1025 . A motorist travels to a place 150 km away at an average speed of 50 km and returns at 30 km per hour. What is his average speed for the whole journey in km per hour?

1026 . A natural number when increased by 12, equals 160 times reciprocal. The number is-

1027 . A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. what is the number?

1028 . A number consists of two digits, the sum of the digit is 10. If 72 is subtracted from the number, the digits are interchanged. Find the number.

1029 . A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by which of the following?

1030 . A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number its digits are interchanged. Find the number .

1031 . A number is 250 percent of another number . If the sum of the numbers is 98 . Find the value of the larger number?

1032 . A number is as much greater than 36 as the less than 86. Find the number.

1033 . A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number?

1034 . A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

1035 . A number is greater than 3 but less than 8. Also, it is greater than 6 but less than 10. The number is -

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