1006 . 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

1007 . 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.

1008 . 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:

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

1010 . 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

1011 . 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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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)

1013 . A number is selected at random from 40 to 50 inclusive. What is the probability that the number is prime number?

A. 3/11
B. 3/10
C. 2/11
D. 1/5
E. None of these

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Answer: Option E

Explanation:

Total number of numbers = 59 - 40 + 1 = 20

Prime numbers : 41, 43, 47, 53, 59 = 5 in total

So, the probability = 5/20 = 1/4

1014 . A number when divided by 3 leaves a remainder 1 . When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

A. 2
B. 3
C. 4
D. 5

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Answer: Option C

Explanation:

1015 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

A. 32
B. 43
C. 13
D. 5

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Answer: Option D

Explanation:

Let number be the x.

We know that, dividend = divisor X quotient + remainder When x is divided by 627, the remainder is 43.

x = 627k+ 43, where k is quotient.

Here x is multiple of 627.

Let us consider the factor s of 627, 6273 × 19 × 11

We have to find the remainder when dividing by 19 so expressing the equation in term of 19 is helpful.

As 4319x2+5

Therefore x = 3 × 19 × 11 × k+ (19×2+5)=19(33k+2) +5 x = 19(33k+2) +5

So, on dividing x by 19 the remainder will be 5.

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A. 13
B. 35
C. 37
D. 59

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Answer: Option C

Explanation:

যেহেতু remainder 24 সেহেতু Divisior অবশ্যাই 24 এর চেয়ে বড় হবে।

সুতরাং, নির্ণেয় divisior 37

1017 . A painter has painted 1/3 of a rectangular wall that is 12 feet high. When he will paint another 50 square feet of the wall he will have finished 50% of the job. What is the length of the wall?

A. 25
B. 50
C. 15
D. 20

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Answer: Option A

Explanation:

Let's break down the problem step by step:

The painter has painted 1/3 of a rectangular wall that is 12 feet high. Let's call the length of the wall "L" feet.

When he paints another 50 square feet of the wall, he will have finished 50% of the job.

First, let's find the total area of the wall. The area of a rectangle is given by the formula: Area = Length × Height.

In this case, the height of the wall is given as 12 feet, and we want to find the length (L) of the wall.

So, the total area of the wall is: Total Area = L × 12 square feet.

Next, the painter has already painted 1/3 of the wall, which is (1/3) × Total Area. We can represent this as:

Painted Area = (1/3) × L × 12 square feet.

Now, the painter wants to finish 50% of the job by painting an additional 50 square feet. This means that the Painted Area plus 50 square feet is equal to half of the Total Area:

Painted Area + 50 = (1/2) × Total Area

Substitute the expressions for Painted Area and Total Area:

(1/3) × L × 12 + 50 = (1/2) × L × 12

Now, let's solve for L:

Multiply both sides by 6 to get rid of the fractions:

2L × 12 + 300 = 3L × 12

24L + 300 = 36L

Subtract 24L from both sides:

300 = 12L

Now, divide by 12 to find the length L:

L = 300 / 12 = 25 feet

So, the length of the wall is 25 feet.

1018 . A painter has painted one-third of a rectangular wal which is ten feet high. When he will paint another 75 sq. feet of that wall, he will have finished three-quarters of the job. What is the length of the wall?

A. 10 feet
B. 9 feet
C. 18 feet
D. 12 feet

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Answer: Option C

Explanation:

Given that hight of the wall is 10 m

Let Base of the wall is x m

Area of wall is 10x sq m

Three - quarter = 3/4

ATQ = According to the question

(3/4 - 1/3) part of wall = 75 sq m

So, 1 part of wall = 180 sq m

Rectangular base of the wall is 180/10 = 18 m

Ans. 18 m

1019 . A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

A. 18 feet
B. 12 feet
C. 10 feet
D. 9 feet

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Answer: Option A

Explanation:

Given that hight of the wall is 10 m

Let Base of the wall is x m

Area of wall is 10x sq m

Three - quarter = 3/4

ATQ = According to the question

(3/4 - 1/3) part of wall = 75 sq m

So, 1 part of wall = 180 sq m

Rectangular base of the wall is 180/10 = 18 m

Ans. 18 m

1020 . A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?

A. 15
B. 16
C. 17
D. 18
E. 20

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Answer: Option E

Explanation:

প্রথম মডেল এর জন্য ৫টি অপশন। তাহলে এই মডেল এর জন্য ৫টি difference car type.

দ্বিতীয় মডেল এর জন্য একই নাম্বর এর difference types of car. একইভাবে , বাকি দুই টাইপ এর মডেল

তাহলে, 5 + 5 + 5 + 5 = 20 difference types

1006 . 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?

1007 . 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 .

1008 . A number is 250 percent of another number . If the sum of the numbers is 98 . Find the value of the larger number?

1009 . A number is as much greater than 36 as the less than 86. Find the number.

1010 . A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number?

1011 . A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

1012 . A number is greater than 3 but less than 8. Also, it is greater than 6 but less than 10. The number is -

1013 . A number is selected at random from 40 to 50 inclusive. What is the probability that the number is prime number?

1014 . A number when divided by 3 leaves a remainder 1 . When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

1015 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

1016 . A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?

1017 . A painter has painted 1/3 of a rectangular wall that is 12 feet high. When he will paint another 50 square feet of the wall he will have finished 50% of the job. What is the length of the wall?

1018 . A painter has painted one-third of a rectangular wal which is ten feet high. When he will paint another 75 sq. feet of that wall, he will have finished three-quarters of the job. What is the length of the wall?

1019 . A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

1020 . A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?

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