Knowledge Check : Numbers System 1a
Knowledge Check – Number System
Four Fundamental Operations
Q1: A farmer bought 120 saplings for his field and planted 75. How many saplings are left?
A) 45
B) 40
C) 55
D) 50
Q2: A school distributes 48 notebooks equally among 6 students. How many does each student get?
A) 10
B) 6
C) 8
D) 12
Q3: A farmer sold 35 kg of rice daily for 8 days. Total quantity sold is:
A) 240 kg
B) 280 kg
C) 300 kg
D) 260 kg
Q4: A bus travels 275 km in the morning and 320 km in the evening. Total distance is:
A) 575 km
B) 595 km
C) 565 km
D) 600 km
Q5: If 540 rupees are shared equally among 9 children, each child receives:
A) 50
B) 45
C) 60
D) 65
Q6: When 400 is multiplied by 6, the result is:
A) 2400
B) 2000
C) 2200
D) 2600
Q7: If a book costs ₹125, how much do 7 books cost?
A) ₹875
B) ₹750
C) ₹900
D) ₹800
Q8: The result of 900 − 378 is:
A) 522
B) 532
C) 512
D) 520
Q9: If a box contains 48 pencils and there are 15 such boxes, total pencils are:
A) 720
B) 680
C) 700
D) 750
Q10: If 1000 litres of water are divided into tanks of 25 litres each, number of tanks filled are:
A) 35
B) 40
C) 50
D) 45
Q11: If a class collects ₹960 for a tour and each student paid ₹30, how many students are there?
A) 30
B) 24
C) 32
D) 36
Q12: A farmer harvested 375 kg of wheat and sold 286 kg. Remaining wheat is:
A) 89
B) 99
C) 109
D) 79
Q13: The product of 72 and 9 is:
A) 648
B) 652
C) 612
D) 702
Q14: If a teacher distributes 180 chocolates equally among 15 students, each student gets:
A) 10
B) 12
C) 14
D) 16
Q15: When 250 is added to 750, the result is:
A) 900
B) 950
C) 1000
D) 1100
Q16: If a trader buys 48 apples per crate and buys 18 crates, total apples are:
A) 846
B) 864
C) 824
D) 882
Q17: The difference between 1200 and 895 is:
A) 295
B) 305
C) 315
D) 285
Q18: A bus collects ₹4500 as fare from 75 passengers. Average ticket price is:
A) 50
B) 60
C) 55
D) 65
Q19: A library has 96 racks with 45 books each. Total books are:
A) 4320
B) 4200
C) 4400
D) 4600
Q20: If a machine makes 125 units per hour, how many units in 16 hours?
A) 2000
B) 1800
C) 1950
D) 2100
Indian & International System of Numeration
Q21: In the Indian system of numeration, the place value of the digit just left to thousands is called:
A) Tens of thousands
B) Lakhs
C) Hundreds of thousands
D) Crores
Q22: How is the number 58374692 written in the Indian system?
A) 5,83,746,92
B) 58,37,46,92
C) 5,83,74,692
D) 5,83,74,692
Q23: In the International system, 1 billion is equal to:
A) 1,000,000
B) 10,000,000
C) 100,000,000
D) 1,000,000,000
Q24: Write 3 crore 5 lakh 17 thousand 8 in figures.
A) 3,05,17,008
B) 30,51,7008
C) 3,051,7008
D) 3,05,17008
Q25: Which of the following numbers is written correctly in the International system?
A) 12,34,56,789
B) 1,234,567,89
C) 123,456,789
D) 12,3456,789
Q26: In the Indian system, 1 lakh equals how many thousands?
A) 100
B) 10
C) 1000
D) 10000
Q27: The number 7,500,000 in the Indian system is written as:
A) 75,00,000
B) 7,50,000
C) 7,05,000
D) 7,50,00,0
Q28: How many zeros are there in one crore?
A) 5
B) 6
C) 7
D) 8
Q29: In which system are millions and billions used?
A) Indian system
B) French system
C) International system
D) Roman system
Q30: What is the expanded form of 4,05,06,207?
A) 4 × 10⁷ + 5 × 10⁴ + 6 × 10² + 2 × 10 + 7
B) 4,00,00,000 + 5,00,000 + 6,000 + 200 + 7
C) 40,000,000 + 5,000 + 60 + 207
D) 4,05,000 + 6,207
Q31: How is 92,000,000 written in words in the International system?
A) Ninety-two thousand
B) Ninety-two lakh
C) Ninety-two million
D) Nine million two lakh
Q32: The smallest 7-digit number in the Indian system is:
A) 10,00,000
B) 9,99,999
C) 1,00,000
D) 99,99,999
Q33: Which number lies between ninety-nine lakhs and one crore?
A) 9,90,00,000
B) 99,00,000
C) 99,99,999
D) 1,01,00,000
Q34: In the International system, the place value after millions is:
A) Thousands
B) Billions
C) Trillions
D) Hundred millions
Q35: If a village in Andhra Pradesh receives ₹2,50,00,000 for road repairs, this is equal to:
A) 2.5 million
B) 25 million
C) 250 million
D) 2.5 billion
Q36: The number 6,07,08,050 rounded to nearest lakh is:
A) 6,07,00,000
B) 6,08,00,000
C) 6,10,00,000
D) 6,05,00,000
Q37: 9 crore is equal to how many millions?
A) 9 million
B) 90 million
C) 900 million
D) 0.9 million
Q38: How many digits are there in the number 1,00,00,000?
A) 6
B) 7
C) 8
D) 9
Q39: Which number is correctly expressed in Indian place value system?
A) 12,345,678
B) 1,23,45,678
C) 123,45,678
D) 12,34,56,78
Q40: If a digital board shows 45879210, its representation in Indian system is:
A) 4,58,79,210
B) 45,87,92,10
C) 4,58,79210
D) 45,879,210
Place Value & Face Value
Q41: What is the face value of 6 in the number 6,48,392?
A) 6000
B) 6
C) 60,000
D) 6,00,000
Q42: What is the place value of 4 in 4,73,825?
A) 4
B) 40
C) 4,000
D) 4,00,000
Q43: In the number 8,25,409, the place value of 5 is:
A) 50
B) 500
C) 5,000
D) 50,000
Q44: The difference between face value and place value of digit 3 in 3,642 is:
A) 3
B) 30
C) 297
D) 27
Q45: In 9,07,518, what is the place value of 9?
A) 9,00,000
B) 90,000
C) 9,000
D) 900
Q46: Which digit has the greatest place value in 7,54,902?
A) 7
B) 5
C) 4
D) 9
Q47: The place value of 2 in 62,184 is:
A) 2,000
B) 20,000
C) 200
D) 2,00,000
Q48: What will be the number if the digit 5 in 45,682 is shifted one place to left?
A) 4,568.2
B) 456,82
C) 4,56,820
D) 456,820
Q49: If 3 is shifted two places to the right in 3,640, its new value is:
A) 3640
B) 36.40
C) 36.4
D) 364
Q50: How many times greater is the place value of 6 in 6,432 compared to its face value?
A) 6 times
B) 60 times
C) 600 times
D) 1000 times
Q51: What is the value of digit 7 in 7,03,405?
A) 7
B) 70,000
C) 7,00,000
D) 700
Q52: The place value of 9 in 2,19,456 is:
A) 9,000
B) 9,0000
C) 90,000
D) 900
Q53: In 5,86,734, which digit has place value 700?
A) 8
B) 7
C) 6
D) 5
Q54: If the digits of 84,206 are reversed, what is the difference between original and new number?
A) 61,356
B) 63,158
C) 61,148
D) 62,364
Q55: The sum of place values of 3 and 8 in 3,84,205 is:
A) 3,000 + 80,000
B) 30,000 + 8,000
C) 3,000 + 800
D) 30,000 + 8000
Q56: If the digit 4 in 4,18,029 is replaced by 6, the new number becomes:
A) 6,18,029
B) 6,18,290
C) 6,81,029
D) 6,10,029
Q57: What is the place value of zero in 50,204?
A) 0
B) Depends on position
C) Undefined
D) 100
Q58: Which digit in 92,560 has the maximum place value?
A) 2
B) 5
C) 9
D) 6
Q59: What happens to the place value when a digit shifts one place to the right?
A) Multiplies by 10
B) Remains same
C) Divides by 10
D) Multiplies by 100
Q60: In 6,42,000, which digit shows the thousands place?
A) 4
B) 2
C) 0
D) 6
Whole Numbers
Q61: Which of the following is the smallest whole number?
A) 1
B) -1
C) 0
D) 10
Q62: Which of the following is not a whole number?
A) 5
B) 0
C) -3
D) 9
Q63: The successor of 9,999 is:
A) 9,998
B) 10,000
C) 9,990
D) 10,001
Q64: The predecessor of 1,000 is:
A) 998
B) 1001
C) 999
D) 990
Q65: Which of the following statements is true for whole numbers?
A) They include all negative integers
B) They start from 1 only
C) They include 0 and all natural numbers
D) They include fractions and decimals
Q66: The sum of the first 5 whole numbers is:
A) 10
B) 15
C) 14
D) 12
Q67: Which operation always gives a whole number when performed on whole numbers?
A) Division
B) Subtraction
C) Multiplication
D) Fraction conversion
Q68: Which of the following is the additive identity for whole numbers?
A) 1
B) -1
C) 0
D) 10
Q69: Which of the following shows closure property for whole numbers?
A) 7 ÷ 2 = 3.5
B) 6 − 9 = −3
C) 4 + 5 = 9
D) 5 ÷ 4 = 1.25
Q70: The smallest three-digit whole number is:
A) 99
B) 100
C) 101
D) 110
Q71: Whole numbers between 23 and 28 are:
A) 24, 25, 26, 27
B) 23, 24, 25, 28
C) 22, 23, 24, 25
D) 25, 26, 29
Q72: The product of any whole number and zero is:
A) 1
B) The number itself
C) Zero
D) Not defined
Q73: Which of the following is the greatest whole number less than 500?
A) 498
B) 490
C) 499
D) 500
Q74: Which statement is true about whole numbers?
A) They are all negative
B) They include fractions
C) They have a smallest element but no greatest element
D) They have a greatest element
Q75: The result of subtracting a larger whole number from a smaller one may be:
A) Always whole number
B) A negative number
C) Always positive
D) Always zero
Q76: Which of the following is the multiplicative identity for whole numbers?
A) 0
B) 1
C) -1
D) 10
Q77: Which of these whole numbers is a perfect square?
A) 18
B) 25
C) 30
D) 27
Q78: Which property shows that 5 + 0 = 5?
A) Closure property
B) Commutative property
C) Additive identity property
D) Associative property
Q79: Which of the following numbers belongs to the set of whole numbers?
A) -12
B) 0.5
C) 0
D) 3/4
Q80: Which of these is the correct order of whole numbers in ascending order?
A) 5, 3, 0, 7
B) 0, 3, 5, 7
C) 7, 5, 3, 0
D) 3, 7, 0, 5
Factors & Multiples
Q81: Which of the following is a factor of 60?
A) 7
B) 8
C) 10
D) 9
Q82: Which number is a multiple of both 4 and 6?
A) 12
B) 18
C) 20
D) 22
Q83: How many factors does the number 36 have?
A) 6
B) 7
C) 9
D) 12
Q84: Which of the following is a common factor of 24 and 36?
A) 5
B) 6
C) 7
D) 9
Q85: A number divisible by 2, 4, and 8 must have its last three digits divisible by:
A) 2
B) 4
C) 6
D) 8
Q86: The greatest factor of any number is:
A) 0
B) 1
C) The number itself
D) Twice the number
Q87: Which of the following is a multiple of 9?
A) 36
B) 35
C) 34
D) 38
Q88: The smallest factor of any natural number is:
A) 0
B) 1
C) The number itself
D) 2
Q89: Which of the following is NOT a factor of 48?
A) 6
B) 8
C) 12
D) 14
Q90: Which number has the maximum number of factors among the following?
A) 16
B) 18
C) 20
D) 25
Q91: Which is the least common multiple of 6 and 8?
A) 12
B) 16
C) 24
D) 48
Q92: A number has exactly 2 factors. It is called:
A) Composite number
B) Prime number
C) Even number
D) Odd number
Q93: The multiples of a number are:
A) Always less than the number
B) Always greater than the number
C) Can be smaller or equal or larger
D) Equal only
Q94: Which is the smallest composite number?
A) 1
B) 2
C) 3
D) 4
Q95: The product of any number and zero is:
A) 1
B) The number itself
C) Zero
D) Undefined
Q96: Which pair has the greatest common factor?
A) 16 and 24
B) 15 and 25
C) 12 and 18
D) 14 and 21
Q97: A composite number must have at least:
A) 1 factor
B) 2 factors
C) 3 factors
D) 4 factors
Q98: Which is the smallest multiple of any number?
A) 0
B) 1
C) The number itself
D) Its square
Q99: The LCM of two numbers is always:
A) Smaller than both numbers
B) Equal to both numbers
C) Greater than or equal to both numbers
D) Always prime
Q100: Which of the following numbers has exactly two factors?
A) 9
B) 11
C) 15
D) 21
Prime & Composite Numbers
Q101: Which of the following numbers is a prime number?
A) 21
B) 29
C) 35
D) 49
Q102: Which of the following is NOT a composite number?
A) 1
B) 4
C) 6
D) 9
Q103: How many prime numbers are there between 1 and 20?
A) 6
B) 7
C) 8
D) 9
Q104: Which of the following is the smallest prime number?
A) 1
B) 2
C) 3
D) 5
Q105: Which number is composite?
A) 13
B) 17
C) 19
D) 21
Q106: Which of the following statements is true?
A) All odd numbers are prime
B) All prime numbers are odd
C) 2 is the only even prime number
D) Every composite number is even
Q107: Which number has exactly three factors?
A) 4
B) 6
C) 8
D) 9
Q108: A prime number greater than 5 always ends with which digit?
A) 5
B) 0
C) 2
D) 1, 3, 7 or 9
Q109: Which of the following pair contains only prime numbers?
A) (9, 11)
B) (13, 17)
C) (15, 19)
D) (21, 23)
Q110: Which is the smallest composite number?
A) 1
B) 2
C) 3
D) 4
Q111: Which prime number is between 50 and 60?
A) 51
B) 53
C) 55
D) 57
Q112: Which of the following is a composite number?
A) 23
B) 29
C) 31
D) 39
Q113: The number 91 is:
A) Prime
B) Composite
C) Neither prime nor composite
D) An even number
Q114: How many factors does a prime number always have?
A) 1
B) 2
C) 3
D) 4
Q115: Which of the following is NOT a prime number?
A) 7
B) 11
C) 13
D) 15
Q116: Which is the only even composite number?
A) 2
B) 4
C) 6
D) 8
Q117: Which prime number is just before 50?
A) 47
B) 49
C) 43
D) 41
Q118: Which is the greatest two-digit prime number?
A) 89
B) 97
C) 91
D) 93
Q119: Which of the following numbers has exactly two prime factors?
A) 15
B) 16
C) 17
D) 19
Q120: Which statement is false regarding prime numbers?
A) They have exactly two factors
B) They are greater than 1
C) They include even numbers other than 2
D) They are divisible only by 1 and themselves
Divisibility Tests
Q121: A number is divisible by 3 if:
A) Its last digit is divisible by 3
B) The sum of its digits is divisible by 3
C) It ends with 0 or 5
D) It is an even number
Q122: Which of the following numbers is divisible by 9?
A) 127
B) 234
C) 245
D) 502
Q123: A number divisible by 5 must end with:
A) 2 or 4
B) 0 or 5
C) 6 or 8
D) 1 or 9
Q124: Which number is divisible by 11?
A) 121
B) 134
C) 155
D) 143
Q125: A number divisible by 2 is:
A) Always odd
B) Always even
C) Ends with 5 or 0
D) Ends with 3 or 9
Q126: Which of the following is divisible by 6?
A) 42
B) 25
C) 35
D) 49
Q127: Which of the following numbers is divisible by 8?
A) 248
B) 255
C) 302
D) 517
Q128: A number is divisible by 4 if:
A) Its last digit is 4
B) Its last two digits are divisible by 4
C) It is divisible by 2 and 3
D) It ends with 0 or 5
Q129: Which number is divisible by both 2 and 5?
A) 45
B) 50
C) 55
D) 35
Q130: Which of the following is not divisible by 3?
A) 141
B) 222
C) 317
D) 603
Q131: For a number to be divisible by 10, it must end in:
A) 5
B) 2
C) 0
D) 8
Q132: Which of the following is divisible by 7?
A) 203
B) 217
C) 120
D) 281
Q133: Which of the following numbers is divisible by both 3 and 9?
A) 108
B) 144
C) 132
D) 111
Q134: If a number is divisible by 6, then it must be divisible by:
A) 2 only
B) 3 only
C) Both 2 and 3
D) 2 and 9
Q135: Which number is divisible by 4 but not by 8?
A) 16
B) 24
C) 32
D) 40
Q136: Which of the following numbers satisfies divisibility by 9?
A) 532
B) 621
C) 742
D) 815
Q137: A number divisible by 8 must have its:
A) Last digit divisible by 8
B) First two digits divisible by 8
C) Last three digits divisible by 8
D) First three digits divisible by 8
Q138: Which of the following is divisible by both 5 and 10?
A) 25
B) 40
C) 55
D) 65
Q139: Which number is divisible by both 4 and 6?
A) 12
B) 18
C) 20
D) 30
Q140: A number divisible by 11 has the property that:
A) Its last digit is 1 or 3
B) The difference of its alternate digit sums is divisible by 11
C) The product of digits is divisible by 11
D) It ends with 0 or 5
Category 7 – HCF & LCM
HCF & LCM
Q121: What is the HCF of 18 and 24?
A) 2
B) 3
C) 6
D) 12
Q122: The LCM of 12 and 15 is:
A) 30
B) 60
C) 15
D) 90
Q123: HCF of 45 and 60 is:
A) 5
B) 10
C) 15
D) 20
Q124: LCM of 8 and 14 is:
A) 28
B) 56
C) 112
D) 14
Q125: Two numbers are co-prime if their HCF is:
A) 0
B) 1
C) 2
D) A prime number
Q126: If HCF of two numbers is 4 and their product is 800, then their LCM is:
A) 100
B) 200
C) 400
D) 800
Q127: Find the HCF of 16, 24 and 32.
A) 4
B) 6
C) 8
D) 16
Q128: The LCM of two prime numbers 5 and 7 is:
A) 12
B) 25
C) 35
D) 49
Q129: If HCF of two numbers is equal to one of the numbers, then the numbers are:
A) Co-prime
B) One divides the other exactly
C) Both prime
D) Both composite
Q130: LCM of 9, 6 and 3 is:
A) 9
B) 12
C) 18
D) 36
Q131: If two numbers are 18 and 45, their HCF is:
A) 3
B) 6
C) 9
D) 15
Q132: What is the relationship between HCF and LCM of two numbers?
A) HCF + LCM = sum of numbers
B) HCF × LCM = Product of numbers
C) HCF – LCM = difference
D) No relation
Q133: Which pair is co-prime?
A) 12 and 18
B) 14 and 21
C) 15 and 16
D) 20 and 25
Q134: The LCM of two numbers can never be:
A) Less than both numbers
B) Equal to any number
C) More than both numbers
D) A multiple of both
Q135: HCF of 1 and any number is:
A) The number itself
B) 0
C) 1
D) Prime number
Q136: If two numbers are equal, then their HCF and LCM are:
A) Both zero
B) Equal to that number
C) Different
D) Always 1
Q137: Which method is used to find HCF quickly?
A) Long Division Method
B) Factor Tree
C) Euclid’s Division Algorithm
D) Trial and Error
Q138: HCF of 81 and 27 is:
A) 3
B) 6
C) 9
D) 27
Q139: LCM of 10, 15 and 20 is:
A) 30
B) 60
C) 120
D) 90
Q140: If HCF = 6 and LCM = 180, then product of two numbers is:
A) 180
B) 1080
C) 360
D) 900
Integers
Q141: Which of the following is an integer?
A) 5/2
B) -6
C) 3.75
D) √7
Q142: What is the result of (-9) + 4?
A) -13
B) -5
C) 5
D) 13
Q143: The additive identity for integers is:
A) 1
B) -1
C) 0
D) Infinity
Q144: (-7) − (-3) is equal to:
A) -10
B) -4
C) 4
D) 10
Q145: Which integer lies between -6 and -2?
A) -7
B) -5
C) -1
D) 0
Q146: What is the additive inverse of 12?
A) -12
B) 12
C) 0
D) 1
Q147: Which operation is NOT closed for integers?
A) Addition
B) Multiplication
C) Subtraction
D) Division
Q148: The product of two negative integers is:
A) Always negative
B) Always positive
C) Sometimes negative
D) Zero
Q149: Which integer is the smallest?
A) -1
B) -10
C) 0
D) 5
Q150: (-5) × 6 equals:
A) -30
B) 30
C) -20
D) 20
Q151: What is |−9|?
A) -9
B) 0
C) 9
D) 1
Q152: Which integer represents a temperature below freezing?
A) 8°C
B) 0°C
C) -4°C
D) 10°C
Q153: If a = -3 and b = 5, then a + b is:
A) -8
B) 2
C) 8
D) -2
Q154: Which integer lies immediately to the right of -1?
A) -2
B) 0
C) 1
D) -3
Q155: Which of these is greater?
A) -8
B) -3
C) -10
D) -20
Q156: The product of 0 and -15 is:
A) -15
B) 15
C) 0
D) -1
Q157: Which of the following pairs are integers?
A) (3.5, -2)
B) (-4, 0)
C) (7/2, -1)
D) (0.25, -3)
Q158: Which integer is represented as a point left of zero on the number line?
A) 7
B) -6
C) 2
D) 0
Q159: Which property is shown by: (-3) + 5 = 5 + (-3)?
A) Associative property
B) Commutative property
C) Distributive property
D) Identity property
Q160: Value of (-8) ÷ (-2) is:
A) -4
B) 4
C) 16
D) -16
Category 9 – Fractions & Decimals
Fractions & Decimals
Q161: Which of the following is a proper fraction?
A) 5/3
B) 7/7
C) 3/8
D) 9/4
Q162: Which of the following is an improper fraction?
A) 4/9
B) 6/6
C) 11/7
D) 3/10
Q163: Which fraction is equivalent to 2/5?
A) 6/15
B) 4/10
C) 10/15
D) 5/8
Q164: Which decimal represents the fraction 3/4?
A) 0.30
B) 0.50
C) 0.75
D) 0.60
Q165: Which of the following decimals is terminating?
A) 1/3
B) 1/7
C) 3/8
D) 2/9
Q166: Which of the following is a mixed fraction?
A) 7/4
B) 1/2
C) 2 1/3
D) 5/7
Q167: Which fraction is greater?
A) 2/3
B) 3/5
C) 5/6
D) 3/4
Q168: What is 0.5 + 0.25?
A) 0.55
B) 0.75
C) 1.00
D) 0.60
Q169: Which of the following is the decimal form of 1/4?
A) 0.20
B) 0.40
C) 0.25
D) 0.50
Q170: Which fraction lies between 1/2 and 3/4?
A) 1/3
B) 2/3
C) 5/6
D) 7/8
Q171: What is the value of 3/5 in decimal form?
A) 0.4
B) 0.6
C) 0.8
D) 0.3
Q172: Which of the following is a recurring decimal?
A) 1/2
B) 1/4
C) 1/6
D) 1/8
Q173: What is the sum of 1/2 and 1/4?
A) 1/2
B) 3/4
C) 1
D) 5/6
Q174: Which of the following decimals is the smallest?
A) 0.75
B) 0.5
C) 0.25
D) 0.9
Q175: When a fraction’s denominator has only factors 2 and 5, the decimal expansion is:
A) Recurring
B) Infinite
C) Terminating
D) Irrational
Q176: Which is greater: 0.6 or 2/3?
A) 0.6
B) 2/3
C) Both equal
D) Cannot be compared
Q177: How many decimal places does 0.125 have?
A) 1
B) 2
C) 3
D) 4
Q178: Which of the following fractions is the smallest?
A) 1/2
B) 2/5
C) 3/4
D) 5/6
Q179: What is the result of 0.75 − 0.25?
A) 0.25
B) 0.5
C) 1.0
D) 0.2
Q180: Which fraction represents 0.2?
A) 1/2
B) 1/3
C) 1/5
D) 2/5
Rational Numbers
Q181: Which of the following is a rational number?
A) √2
B) π
C) 5/7
D) √5
Q182: Which of the following is NOT a rational number?
A) -3/4
B) 0.25
C) √7
D) 2
Q183: Which property is satisfied by rational numbers?
A) Closure under addition
B) Closure under division by zero
C) No identity element
D) No inverse exists
Q184: Which of the following is the multiplicative identity for rational numbers?
A) 0
B) 1
C) -1
D) 10
Q185: Rational number between 2 and 3 is:
A) 5/2
B) 7/3
C) 9/4
D) 8/3
Q186: The additive inverse of -7/9 is:
A) 7/9
B) -7/9
C) 9/7
D) -9/7
Q187: The multiplicative inverse of 4/5 is:
A) 5/4
B) 4/5
C) -5/4
D) -4/5
Q188: Which of the following is true about rational numbers?
A) They have only terminating decimals
B) They can be terminating or recurring decimals
C) They are always whole numbers
D) They are only negative numbers
Q189: Which of the following lies between 1/3 and 1/2?
A) 2/5
B) 1/4
C) 3/5
D) 5/6
Q190: Which is a rational number between 5 and 6?
A) 11/2
B) 13/2
C) 7
D) √30
Q191: If a = 2/3, then value of a + 1/3 is:
A) 2/3
B) 1
C) 4/3
D) 5/6
Q192: The product of two rational numbers is always:
A) Irrational
B) Rational
C) Whole number only
D) Prime
Q193: The decimal expansion of 1/3 is:
A) 0.25
B) 0.333…
C) 0.5
D) 0.2
Q194: Which rational number is equal to 0.75?
A) 1/4
B) 3/4
C) 7/10
D) 2/3
Q195: If 5/6 is multiplied by 3/5, the result is:
A) 1/2
B) 5/6
C) 3/6
D) 1
Q196: The rational number representation of -3 is:
A) -3/0
B) -3/1
C) 0/-3
D) 1/-3
Q197: How many rational numbers lie between 2 and 3?
A) 1
B) 10
C) Infinitely many
D) None
Q198: If a rational number is multiplied by 0, the result is:
A) 1
B) 0
C) That number
D) Undefined
Q199: Which of the following is a negative rational number?
A) 3/5
B) -7/2
C) 4
D) 0
Q200: Which of the following decimals is a rational number?
A) 0.101001000…
B) π
C) 0.666…
D) √3
Squares & Cubes
Q201: The square of 15 is:
A) 225
B) 150
C) 45
D) 30
Q202: The square root of 144 is:
A) 10
B) 11
C) 12
D) 14
Q203: 8³ is equal to:
A) 256
B) 512
C) 64
D) 128
Q204: The cube root of 216 is:
A) 4
B) 5
C) 6
D) 7
Q205: Which of the following is NOT a perfect square?
A) 121
B) 169
C) 150
D) 196
Q206: Square of 0.5 is:
A) 0.25
B) 0.5
C) 0.75
D) 1
Q207: Which of the following numbers is a perfect cube?
A) 27
B) 45
C) 81
D) 100
Q208: The square root of 0.81 is:
A) 0.7
B) 0.8
C) 0.9
D) 1
Q209: Which of the following is the cube of 5?
A) 25
B) 125
C) 225
D) 625
Q210: The square root of 169 is:
A) 11
B) 12
C) 13
D) 14
Q211: Which of these is a perfect square?
A) 98
B) 121
C) 143
D) 167
Q212: The cube root of 343 is:
A) 5
B) 6
C) 7
D) 8
Q213: (–6)² is equal to:
A) -36
B) 36
C) 6
D) -12
Q214: Which is NOT a perfect cube?
A) 64
B) 125
C) 81
D) 216
Q215: The square of 0.4 is:
A) 0.08
B) 0.16
C) 0.25
D) 0.4
Q216: If x² = 49, the value of x is:
A) Only 7
B) Only –7
C) 7 or –7
D) 0
Q217: The cube of –4 is:
A) -16
B) -32
C) -64
D) 64
Q218: The square root of 400 is:
A) 10
B) 15
C) 20
D) 25
Q219: Which statement is true?
A) Square of an odd number is even
B) Square of an even number is odd
C) Square of an odd number is odd
D) All squares are even
Q220: If the cube of a number is 729, the number is:
A) 7
B) 8
C) 9
D) 10
Sets
Q221: A collection of well-defined objects is called:
A) Group
B) Set
C) Series
D) Class
Q222: Which of the following is a finite set?
A) Set of all natural numbers
B) Set of all stars in the sky
C) Set of days in a week
D) Set of real numbers
Q223: Which set has no elements?
A) Universal set
B) Empty set
C) Finite set
D) Singleton set
Q224: If A = {1,2,3} and B = {3,4,5}, then A ∩ B is:
A) {1,2,3,4,5}
B) {1,2}
C) {3}
D) {4,5}
Q225: The union of two sets A and B contains:
A) Only common elements
B) Elements of A only
C) Elements of B only
D) All elements in A or B or both
Q226: If A = {2,4,6,8}, then A is a subset of:
A) Natural numbers
B) Whole numbers
C) Even numbers
D) Odd numbers
Q227: The cardinal number of the set {a,b,c,d} is:
A) 2
B) 3
C) 4
D) 5
Q228: Which of the following represents a singleton set?
A) {1,2,3}
B) {}
C) {5}
D) {all prime numbers}
Q229: If A ⊂ B, then which is true?
A) A = B
B) All elements of B are in A
C) All elements of A are in B
D) A and B are disjoint
Q230: If A and B have no common elements, they are called:
A) Equal sets
B) Disjoint sets
C) Universal sets
D) Overlapping sets
Q231: Which symbol is used to represent union of sets?
A) ∩
B) ∪
C) ⊂
D) =
Q232: Which symbol represents intersection of sets?
A) ∩
B) ∪
C) ∈
D) ⊃
Q233: Which of the following is a universal set for natural numbers?
A) Rational numbers
B) Whole numbers
C) Integers
D) Real numbers
Q234: If U is the universal set and A is a set, then A ∪ U is:
A) A
B) U
C) Empty set
D) A ∩ U
Q235: In a Venn diagram, overlapping circles show:
A) Disjoint sets
B) Universal sets
C) Related sets
D) Equal sets
Q236: If A = {1,2,3,4,5} and B = {4,5,6}, then A − B is:
A) {1,2,3}
B) {4,5}
C) {6}
D) {1,2,3,4,5,6}
Q237: If two sets contain exactly the same elements, they are called:
A) Subsets
B) Equal sets
C) Universal sets
D) Disjoint sets
Q238: Which of the following is an example of an infinite set?
A) Set of months in a year
B) Set of natural numbers
C) Set of vowels in English
D) Set of days in a week
Q239: If A = {x | x is even}, then which element belongs to A?
A) 3
B) 7
C) 8
D) 9
Q240: Which method is used to represent sets graphically?
A) Number line
B) Flow chart
C) Venn diagram
D) Bar graph