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34 questions · auto-graded multiple-choice test.

MCQ 61 Mark
Which of the following numbers is divisible by 6?
  • 345672
  • B
    154636
  • C
    236794
  • D
    none of these
Answer
Correct option: A.
345672
A
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MCQ 71 Mark
Which of the following numbers is divisible by 11?
  • A
    3333333
  • B
    66666
  • 999999
  • D
    none of these
Answer
Correct option: C.
999999
C
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MCQ 81 Mark
The LCM of $\frac{1}{3}, \frac{5}{6}, \frac{5}{9}$, and $\frac{10}{27}$ is
  • A
    $\frac{5}{24}$
  • B
    $\frac{5}{27}$
  • C
    $\frac{5}{3}$
  • $\frac{10}{3}$
Answer
Correct option: D.
$\frac{10}{3}$
D
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MCQ 91 Mark
Which of the following numbers is divisible by 9?
  • A
    314526
  • 578142
  • C
    964315
  • D
    876421
Answer
Correct option: B.
578142
B
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MCQ 101 Mark
The HCF of $\frac{3}{16}, \frac{5}{12}$ and $\frac{7}{8}$ is
  • A
    $\frac{1}{4}$
  • $\frac{1}{48}$
  • C
    $\frac{105}{4}$
  • D
    $\frac{105}{48}$
Answer
Correct option: B.
$\frac{1}{48}$
B
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MCQ 111 Mark
$\frac{561}{748}$ when reduced to the lowest terms is
  • $\frac{3}{4}$
  • B
    $\frac{11}{14}$
  • C
    $\frac{13}{14}$
  • D
    $\frac{23}{24}$
Answer
Correct option: A.
$\frac{3}{4}$
A
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MCQ 131 Mark
The least number divisible by each of the numbers 15, 20, 24, 32 and 36 is
  • A
    1660
  • 1440
  • C
    2490
  • D
    2160
Answer
Correct option: B.
1440
B
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MCQ 141 Mark
The smallest 4 -digit number divisible by each one of 4,5 and 6 is
  • A
    1060
  • B
    1040
  • 1020
  • D
    1080
Answer
Correct option: C.
1020
C
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MCQ 151 Mark
The product of two numbers is 2160 and their HCF is 16. Then, the LCM of these numbers is
  • A
    270
  • B
    540
  • 135
  • D
    405
Answer
Correct option: C.
135
C
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MCQ 161 Mark
The HCF of two numbers is 23 and their LCM is 276. If one of the numbers is 92, what is the other number?
  • 69
  • B
    46
  • C
    92
  • D
    none of these
Answer
Correct option: A.
69
A
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MCQ 171 Mark
If $a$ and $b$ are co-primes, then their LCM is
  • A
    $a+b$
  • $a b$
  • C
    $\frac{a}{b}$
  • D
    1
Answer
Correct option: B.
$a b$
B
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MCQ 191 Mark
$\frac{289}{391}$ when reduced to the lowest terms is
  • A
    $\frac{11}{23}$
  • B
    $\frac{13}{31}$
  • C
    $\frac{17}{31}$
  • $\frac{17}{23}$
Answer
Correct option: D.
$\frac{17}{23}$
D
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MCQ 201 Mark
Which of the following numbers is divisible by 8?
  • A
    536146
  • B
    789214
  • C
    955626
  • 813256
Answer
Correct option: D.
813256
D
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MCQ 211 Mark
Statement-1 : A number for which sum of all its factors is equal to twice the number is called a perfect number.
Statement-2 : The product of two prime numbers is always odd.
  • A
    Both the statements are true.
  • Statement-1 is true but statement-2 is false.
  • C
    Statement-1 is false but statement-2 is true.
  • D
    Both the statements are false.
Answer
Correct option: B.
Statement-1 is true but statement-2 is false.
B
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MCQ 221 Mark
Find the value of a + b + c, if 373 a is divisible by 9,473 b is divisible by 11 and 371 c is divisible by 6.
  • A
    7
  • B
    6
  • C
    $0$
  • 9
Answer
Correct option: D.
9
D
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MCQ 231 Mark
The students in a class can be divided into groups of 2, 3, 5 and 6. What is the least number of students this class can have?
  • A
    40
  • 30
  • C
    35
  • D
    42
Answer
Correct option: B.
30
B
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MCQ 251 Mark
$P=$ LCM of 2 nd multiple of 9 and 6 th multiple of 6 .
$Q = H C F$ of 60 and 84.
LCM of $P$ and $Q$ is:
  • A
    18
  • B
    24
  • C
    42
  • 36
Answer
Correct option: D.
36
D
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MCQ 261 Mark
You have to make a 3 -digit number using the digits $0,4,5$.
The number you form will never be:
  • prime
  • B
    composite
  • C
    odd
  • D
    even
Answer
Correct option: A.
prime
A
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MCQ 271 Mark
Which of the following statements is true?
  • A
    1 is the smallest prime number.
  • B
    If two numbers are co-primes, then at least one of them must be a prime number.
  • C
    If a number is prime, it must be odd.
  • Two consecutive odd prime numbers are always twin primes.
Answer
Correct option: D.
Two consecutive odd prime numbers are always twin primes.
D
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MCQ 281 Mark
The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117, the sum of both the numbers is:
  • A
    119
  • 221
  • C
    338
  • D
    439
Answer
Correct option: B.
221
B
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MCQ 291 Mark
The two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7 are :
  • 9660, 10080
  • B
    9320, 10080
  • C
    9660, 10060
  • D
    10340, 10080
Answer
Correct option: A.
9660, 10080
A
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MCQ 301 Mark
If we multiply 2 prime numbers, the product will always be:
  • a composite number
  • B
    an even number
  • C
    an odd number
  • D
    a prime number
Answer
Correct option: A.
a composite number
A
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MCQ 311 Mark
A number $N$ satisfies the following properties.
  • $N$ is a 4 -digit number
  • The sum of its digits equals 18.
  • $N$ is divisible by both 9 and 11.
    Which one of the following is the smallest possible value of N?
  • A
    1980
  • B
    2079
  • C
    3036
  • 1089
Answer
Correct option: D.
1089
D
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MCQ 321 Mark
Assertion (A) : LCM of two or more numbers may be one of the numbers.
Reason (R) : For two given numbers, product of the numbers = product of their HCF and LCM.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: B.
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
B
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MCQ 331 Mark
Assertion (A) : If a number is divisible by both 2 and 3, then it is divisible by 12.
Reason (R) : All the numbers divisible by 6 are even numbers.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct. explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • Assertion (A) is false but Reason (R) is true.
Answer
Correct option: D.
Assertion (A) is false but Reason (R) is true.
D
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MCQ 341 Mark
Assertion (A) : If two numbers are co-primes, then both the numbers may be composite.
Reason (R) : Two natural numbers which do not have a common prime factor are called co-primes.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: A.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
A
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MCQ - MATHS STD 6 Questions - Vidyadip