Number System

Find the least number exactly divisible by 12, 15, 20 and 27.

• ক. 540
• খ. 430
• গ. 320
• ঘ. 300

The least number by which 294 must be multiplied to make it a perfect square, is:

• ক. 2
• খ. 3
• গ. 6
• ঘ. 24

The average of five numbers is 27. If one number is excluded, the average becomes 24. The excluded numbers is:

• ক. 25
• খ. 27
• গ. 30
• ঘ. 35

The sum of two numbers is 25 and their difference is 13. Find their product.

• ক. 104
• খ. 114
• গ. 315
• ঘ. 325

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

• ক. 3.5
• খ. 6
• গ. 8
• ঘ. None of these

What number should be devided by √0.25 to give the result as 25?

• ক. 12.5
• খ. 2.5
• গ. 50
• ঘ. 125

The number of girls in a class is 5 times the number of boys. Which of the following can not be the total number of children in the class?

• ক. 24
• খ. 30
• গ. 35
• ঘ. 126

The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are:

• ক. 12, 5
• খ. 13, 4
• গ. 14, 3
• ঘ. 24, 10

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

• ক. 35
• খ. 36
• গ. 45
• ঘ. 54

The average of 7 consecutive number is 20. The largest of these number is:

• ক. 20
• খ. 22
• গ. 23
• ঘ. 24

The least number of 4 digits which is a perfect square, is:

• ক. 1000
• খ. 1016
• গ. 1024
• ঘ. 1036

A third of Karim’s marks is Mathematics exceeds a half of his marks in Social Studies by 30, if Karim got 240 marks in two subjects together, how many marks did he get in Social Studies?

• ক. 88
• খ. 98
• গ. 60
• ঘ. 122

If product of two sequential positive odd numbers is 255, what are those numbers?

• ক. 11, 13
• খ. 13, 15
• গ. 13, 17
• ঘ. 15, 17

Which set of numbers is like the given set [48, 24, 12]?

• ক. [46, 22, 11]
• খ. [44, 22, 10]
• গ. [42, 20, 10]
• ঘ. [40, 20, 10]

Find the probability of selecting a prime number from a set numbers 1 to 15 (both inclusive).

• ক. 1/15
• খ. 3/5
• গ. 2/5
• ঘ. 7/15

The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller is 74. If a is the sum of the smaller number, which equation below determines the correct value of a?

• ক. 5(2a + 9) + 2a = 74
• খ. 5(2a - 9) + 2a = 74
• গ. (4a + 9) + 5a = 74
• ঘ. 2(2a + 9) + 5a = 74

The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

• ক. 57
• খ. 72
• গ. 42
• ঘ. 50

Every sunday Akbar jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does Akbar jog in 2 weeks?

• ক. 80
• খ. 84
• গ. 98
• ঘ. 42

Average of 17 even consecutive iintegers is 42. What is the 3rd number from the begining of the series when the integers are arranged in an increasing sequence?

• ক. 32
• খ. 34
• গ. 36
• ঘ. 28

What is the next number in the series 1, 11, 27, 57, ...

• ক. 93
• খ. 63
• গ. 123
• ঘ. 113

The average of 15 consecutive integers is 15. What is the smallest of the 15 integers?

• ক. 8
• খ. 9
• গ. 15
• ঘ. 6

Sum of 3 consucutive integers is 18. What is the smallest integer less 3?

• ক. 4
• খ. 5
• গ. 2
• ঘ. 3

The next number in the geometric progression 5, 10, 20 is:

• ক. 45
• খ. 40
• গ. 50
• ঘ. 25

The first 5 numbers in a regular esquence are 4, 10, 22, 46 and 94. What is the next number in the sequence?

• ক. 190
• খ. 182
• গ. 176
• ঘ. 154

8, 14, 24, 42, ......, 142

• ক. 76
• খ. 84
• গ. 100
• ঘ. 112

2, 9, 6, 7, 18, 5, ....

• ক. 25
• খ. 40
• গ. 54
• ঘ. 90

1, 2, 3, 5, 7, ......

• ক. 9
• খ. 11
• গ. 14
• ঘ. 16

3, 9, 5, 11, 7, ...

• ক. 9
• খ. 10
• গ. 13
• ঘ. 15

What is the next number in the series? 8, 11, 17, 24, 29, 53, 78, ....

• ক. 102
• খ. 101
• গ. 75
• ঘ. 83

Find the next number in the series: 3, 6, 4, 9, 5, 12, 6, ...

• ক. 7
• খ. 9
• গ. 12
• ঘ. 15

Which of the next number in the series? 2, 5, 7, 8, 8, ......

• ক. 6
• খ. 7
• গ. 10
• ঘ. 11

What is the next number in the series? 5, 3, 1, 7, 3, 2, 9, 5, ...

• ক. 1
• খ. 5
• গ. 4
• ঘ. 3

1 + 2 + 3 + ........ + 100 =?

• ক. 5000
• খ. 5055
• গ. 5550
• ঘ. 5050

What is the next number in the series 1, 4, 9, 16, ....?

• ক. 18
• খ. 21
• গ. 23
• ঘ. 25

Fill in the blank in the series: 000, 001, 011, ---

• ক. 111
• খ. 101
• গ. 010
• ঘ. 110

In the following series, what comes next? 1, A, 9, I, 17, --

• ক. E
• খ. Q
• গ. U
• ঘ. T

Find the next number of the series 7, 10, 14, 16, 21, 22, ---

• ক. 20
• খ. 22
• গ. 26
• ঘ. 28

Six consecutive whole numbers are given; the sum of the first three numbers is 27. What is the sum of the last three numbers?

• ক. 36
• খ. 33
• গ. 32
• ঘ. 30

Find the missing number of the series 1/16, 1/4, -- , 4

• ক. 16
• খ. 4
• গ. 1/2
• ঘ. 1

The product of two numbers is 900 and their sum exceeds their difference by 30. The greater of these two numbers is:

• ক. 60
• খ. 15
• গ. 75
• ঘ. 90

Which of the following is not an integer?

• ক. 9.98
• খ. 2
• গ. -3
• ঘ. 0

What is the number of primes that are divisible by 3?

• ক. 2
• খ. infinite
• গ. 1
• ঘ. 0

If 1.4 is halfway between two points x and y what sre the possible values of x and y?

• ক. -1.4 and 2.4
• খ. -1 and 2
• গ. 0.3 and 3.1
• ঘ. 0.15 and 1.55

If the 1st number ina deries of consecutive odd numbers is 8 less than the last number in the series, how many numbers are there in the series?

• ক. 7
• খ. 8
• গ. 4
• ঘ. 5

If 2 < x < 4 and 3 < y < 7, what is the largest integer value of x + y?

• ক. 9
• খ. 10
• গ. 7
• ঘ. 8

Which of the following must be odd? I. The product of two even numbers II. The product of two odd numbers III. The sum of an odd and an even number

• ক. I only
• খ. II and III only
• গ. I and III only
• ঘ. I, II and III

If m is an even integer and n is an odd integer and both are positive numbers then which of the following must be even?

• ক. m2 + n2
• খ. mn + n2
• গ. m3 + n2
• ঘ. mn + m2

The average of four consecutive odd positive integers is always--

• ক. an even number
• খ. an odd number
• গ. divisible by 4
• ঘ. Both a and c

How many prime numbers are there between 56 and 100?

• ক. 10
• খ. 11
• গ. 9
• ঘ. 8

The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

• ক. 1 or -1
• খ. -2
• গ. 1
• ঘ. -1

The difference between √150 and √54 is--

• ক. 2√6
• খ. 16√6
• গ. 9√6
• ঘ. 6√2

What is the product of the odd integers between - 8 and 8?

• ক. 11025
• খ. 5005
• গ. 0
• ঘ. 10050

If n is an even integer which of the following must be an odd integer?

• ক. 7n - 2
• খ. 5(n - 2)
• গ. (16n + 24)/8
• ঘ. (6n + 12)/3

Which of the following is a prime number?

• ক. 2
• খ. 0
• গ. 1
• ঘ. 143

If x and y are prime numbers, which of the following cannot be the sum of x and y?

• ক. 5
• খ. 9
• গ. 13
• ঘ. 23

How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

• ক. two
• খ. three
• গ. four
• ঘ. six

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

• ক. 3/11
• খ. 3/10
• গ. 2/11
• ঘ. 1/5

If - 1 < x ≤ 1 and x is an integer, then value of x is--

• ক. 0 only
• খ. 1 only
• গ. 0 and 1
• ঘ. one value more than 1

Which one of the following is greater than 2/3?

• ক. 33/50
• খ. 8/11
• গ. 3/5
• ঘ. 13/27

Which of the following franctions has the smallest value?

• ক. 34.7/163
• খ. 125/501
• গ. 173/700
• ঘ. 10.9/42.7

If 18 is 15 percent of 30 percent of a certain number, what is the number?

• ক. 9
• খ. 36
• গ. 40
• ঘ. 81

If k is an integer and .0010101×10k is greater than 1000, what is the least possible value of k?

• ক. 2
• খ. 3
• গ. 4
• ঘ. 5

A number consists of two digits. The sum of the digits is 10. If 72 is subtracted from the number, it's digits are interchanged. Find the number.

• ক. 82
• খ. 37
• গ. 55
• ঘ. 73

How many pupils can be seated in a room with N single chairs and B double seated benches?

• ক. nb
• খ. 2nb
• গ. 2(b + n)
• ঘ. 2b + n

What are all values of x that satisfy the equation x2 + 4x + 3 = 0?

• ক. - 3
• খ. - 1
• গ. - 3 and - 1
• ঘ. 3 and 4

The value of - 3 - (- 10) is how much greater than the value of - 10 - (- 3)?

• ক. 0
• খ. 6
• গ. 7
• ঘ. 14

The average of 3 numbers is 7. If 2 of the numbers are zero, then what is the 3rd number?

• ক. 15
• খ. 17
• গ. 19
• ঘ. 21

What is the difference between the 6 digit largest and the smallest numbers?

• ক. 888889
• খ. 899999
• গ. 999888
• ঘ. 988888

If N and P are odd numbers then which of the following must be even number?

• ক. NP
• খ. 2N + P
• গ. N + P
• ঘ. NP + 2

If the sum of four consicutive even integer is s, what is the greatest of the integers in terms of s?

• ক. (s + 12)/4
• খ. (s - 12)/4
• গ. (s + 6)/4
• ঘ. (s - 6)/4

If n and p are both even number, which of the following number must be an odd number?

• ক. n +2p
• খ. np + 1
• গ. n + p
• ঘ. 2n + p

If x and (x + 11)/2 are integers, which of the following must be true? i. x is odd ii. x is a multiple of 9 iii. (x + 9)/2 is an integer

• ক. i only
• খ. ii only
• গ. iii only
• ঘ. i and ii

If x = 12, which of the following has the maximum value?

• ক. x - 3
• খ. (x - 7)(x - 9)
• গ. (x - 5)(x - 3)
• ঘ. (x - 8)(x - 7)

A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?

• ক. 73
• খ. 63
• গ. 53
• ঘ. 50

A student first reduced a number by 20 percent and then increased it again by 20 percent. If the difference between the two new numbers was 8, then what is the original number?

• ক. 40
• খ. 50
• গ. 96
• ঘ. 75

How many prime numbers are there between 45 and 72?

• ক. 5
• খ. 6
• গ. 8
• ঘ. 7

Sum of three different positive integeris the same as their product. Find the smallest of these three integers?

• ক. 5
• খ. 2
• গ. 3
• ঘ. 1

What is the least integer that is a sum of three different primes each greater than 20?

• ক. 69
• খ. 73
• গ. 75
• ঘ. 83

If n and p are both odd numbers, which of the following must be an even number?

• ক. np + 2
• খ. n + p
• গ. n + p + 1
• ঘ. np

If n is a positive integer and k + 2 = 3n, which of the following could be a value of k?

• ক. 1
• খ. 4
• গ. 7
• ঘ. 25

If both x and y are integers and x = 24y + 12, then which of the following must be true?

• ক. x/12 is even
• খ. x/6 is even
• গ. (x + 4)/8 is odd
• ঘ. (x + 4)/8 is even

If m and n are positive integers, which of the following must be an even integer?

• ক. n(m - 1)
• খ. (n - 1)m
• গ. (m - 1)(n - 2)
• ঘ. n(n - 1)(m - 1)

If the product of 3 consecutive integers is 120, then the sum of the integers is----

• ক. 9
• খ. 15
• গ. 12
• ঘ. 14

If x is an odd integer and y is an even integer which of the statements is(are) always true? I. x + y is odd II. xy is odd III. 2x + y is even.

• ক. I only
• খ. II and III only
• গ. I and III only
• ঘ. III only

Which of the following is the greatest?

• ক. 40% of 30
• খ. 3/5 of 25
• গ. 6.5% of 200
• ঘ. (1/2)-4

If X is an odd integer and Y is an even integer, which of the following statements is(are) always true? I. X + Y is odd II. XY is odd III. X + 2Y is even

• ক. I only
• খ. II and III only
• গ. I and III only
• ঘ. III only

If the sum of 3 consecutive integers is 150, then the sum of the two smaller integers is:

• ক. 99
• খ. 139
• গ. 110
• ঘ. none of these

If n is an even integer which of the following must be an odd integer?

• ক. 3(n + 1)
• খ. n - 2
• গ. 3n + 5
• ঘ. n3

If the sum of five consecutive positive integers is A, then the sum of the next five consecutive integer in terms of A is:

• ক. A + 1
• খ. A + 5
• গ. A + 25
• ঘ. 2A

If x is negative, which of the following must also be negative?

• ক. (-x3)2
• খ. (-1)x
• গ. 1 - x
• ঘ. x3 - x2

If an integer y is subtracted from an integer x, and the result is greater than x, then y must be :

• ক. Equal to x
• খ. Less than 0
• গ. Less than x
• ঘ. Greater than 0

If the product of three consecutive integers is 210, then the sum of the two smaller integers is----

• ক. 5
• খ. 11
• গ. 20
• ঘ. 13

The positive difference between the squares of any two consecutive integers is always---

• ক. an even integer
• খ. an odd number
• গ. a prime number
• ঘ. the square of an integer

If n is a positive integer then what is the remainder when {3(8n + 3) + 2} is devided by 5?

• ক. 4
• খ. 1
• গ. 0.4
• ঘ. 0

If x is an integer, then which of the following is must be odd?

• ক. 2x + 2
• খ. 13x
• গ. x
• ঘ. 2x + 3

When a positive integer x is divided by a positive integer y the remainder is 9. If x = 96.12 then what is the value of y?

• ক. 96
• খ. 25
• গ. 48
• ঘ. 75

If you add up the digits of a three-digit number you get 18. the ten's digit is twice the hundred's digit and the hundred's digit is 1/3 the unit's digit. What is the number?

• ক. 246
• খ. 369
• গ. 531
• ঘ. 855

If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following is the number?

• ক. 24
• খ. 36
• গ. 48
• ঘ. 96

Find the missing number in the series 3, 6, 18, 72, 360, --

• ক. 720
• খ. 1440
• গ. 2160
• ঘ. None of the above

0.1 is how many times greater than 0.001?

• ক. 1
• খ. 10
• গ. 100
• ঘ. 1000

If x is an integer, then which of the following is always an even integer?

• ক. x - 1
• খ. x + 1
• গ. x + 2
• ঘ. 2x + 2

If x = -1, then - (x4 + x3 + x2 + x) =

• ক. - 10
• খ. - 4
• গ. 0
• ঘ. 4

If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is:

• ক. 79
• খ. 159
• গ. 169
• ঘ. 161

Which of the following fractions has the smallest value?

• ক. 8/7
• খ. 10/9
• গ. 21/20
• ঘ. 41/40

x = 2y + 3 and y = - 2; Quantity A = x and Quantity B = - 1

• ক. Quantity in A is greater
• খ. Quantity in B is greater
• গ. The two quantities are equal
• ঘ. The relationship cannot be determine from the information given

r>s>0; Quantity A = rs/r and Quantity B = rs/s

• ক. Quantity in A is greater
• খ. Quantity in B is greater
• গ. The two quantities are equal
• ঘ. The relationship indetermine

In a class composed of x girls and y boys what part of the class is composed of girls?

• ক. y / (x + y)
• খ. x / xy
• গ. x / (x + y)
• ঘ. y / xy

A farmer had 20 hens. All but 2 died. How many hens are still alive?

• ক. 2
• খ. 10
• গ. 15
• ঘ. 18

Find the value of (0.1 × 0.01 × 0.001) ÷ (0.2 × 0.02 × 0.002)

• ক. 14
• খ. 18
• গ. 21
• ঘ. 28