90238
If two positive integers a and b are expressible in the form a = pq\(^{2}\) and b = p\(^{2}\)q; p, q being prime numbers, then HCF (a, b) is:
1 )pq
2 )p\(^{3}\)q\(^{3}\)
3 )p\(^{3}\)q\(^{2}\)
4 )p\(^{2}\)q\(^{2}\)
Explanation:
Exp: A pq a = pq\(^{2}\) and b = p\(^{3}\)q where a and b are positive integers and p, q are prime numbers, then HCF = pq. Applying Medium **[Real Numbers]**
REAL NUMBERS
90239
The LCM of x and 18 is 36. The HCF of x and 18 is 2. What is the number x?
1 )2
2 )1
3 )4
4 )3
Explanation:
Exp: C 4 We know that LCM × HCF = First number × Second number HCF (x, 18) × LCM (x, 18) = x × 18 2 × 36 = x × 18
REAL NUMBERS
90241
The least positive integer divisible by 20 and 24 is:
1 )120
2 )480
3 )360
4 )240
Explanation:
Exp: A 120 Least positive integer divisible by 20 and 24 is LCM of (20, 24). 20 = 2\(^{2}\) × 5 24 = 2\(^{3}\) × 3 \(\therefore\) LCM (20, 24) = 2\(^{3}\) × 3 × 5 = 120 Thus 120 is divisible by 20 and 24.
REAL NUMBERS
90242
The sum of the exponents of the prime factors in the prime factorisation of 196, is:
90238
If two positive integers a and b are expressible in the form a = pq\(^{2}\) and b = p\(^{2}\)q; p, q being prime numbers, then HCF (a, b) is:
1 )pq
2 )p\(^{3}\)q\(^{3}\)
3 )p\(^{3}\)q\(^{2}\)
4 )p\(^{2}\)q\(^{2}\)
Explanation:
Exp: A pq a = pq\(^{2}\) and b = p\(^{3}\)q where a and b are positive integers and p, q are prime numbers, then HCF = pq. Applying Medium **[Real Numbers]**
REAL NUMBERS
90239
The LCM of x and 18 is 36. The HCF of x and 18 is 2. What is the number x?
1 )2
2 )1
3 )4
4 )3
Explanation:
Exp: C 4 We know that LCM × HCF = First number × Second number HCF (x, 18) × LCM (x, 18) = x × 18 2 × 36 = x × 18
REAL NUMBERS
90241
The least positive integer divisible by 20 and 24 is:
1 )120
2 )480
3 )360
4 )240
Explanation:
Exp: A 120 Least positive integer divisible by 20 and 24 is LCM of (20, 24). 20 = 2\(^{2}\) × 5 24 = 2\(^{3}\) × 3 \(\therefore\) LCM (20, 24) = 2\(^{3}\) × 3 × 5 = 120 Thus 120 is divisible by 20 and 24.
REAL NUMBERS
90242
The sum of the exponents of the prime factors in the prime factorisation of 196, is:
90238
If two positive integers a and b are expressible in the form a = pq\(^{2}\) and b = p\(^{2}\)q; p, q being prime numbers, then HCF (a, b) is:
1 )pq
2 )p\(^{3}\)q\(^{3}\)
3 )p\(^{3}\)q\(^{2}\)
4 )p\(^{2}\)q\(^{2}\)
Explanation:
Exp: A pq a = pq\(^{2}\) and b = p\(^{3}\)q where a and b are positive integers and p, q are prime numbers, then HCF = pq. Applying Medium **[Real Numbers]**
REAL NUMBERS
90239
The LCM of x and 18 is 36. The HCF of x and 18 is 2. What is the number x?
1 )2
2 )1
3 )4
4 )3
Explanation:
Exp: C 4 We know that LCM × HCF = First number × Second number HCF (x, 18) × LCM (x, 18) = x × 18 2 × 36 = x × 18
REAL NUMBERS
90241
The least positive integer divisible by 20 and 24 is:
1 )120
2 )480
3 )360
4 )240
Explanation:
Exp: A 120 Least positive integer divisible by 20 and 24 is LCM of (20, 24). 20 = 2\(^{2}\) × 5 24 = 2\(^{3}\) × 3 \(\therefore\) LCM (20, 24) = 2\(^{3}\) × 3 × 5 = 120 Thus 120 is divisible by 20 and 24.
REAL NUMBERS
90242
The sum of the exponents of the prime factors in the prime factorisation of 196, is:
90238
If two positive integers a and b are expressible in the form a = pq\(^{2}\) and b = p\(^{2}\)q; p, q being prime numbers, then HCF (a, b) is:
1 )pq
2 )p\(^{3}\)q\(^{3}\)
3 )p\(^{3}\)q\(^{2}\)
4 )p\(^{2}\)q\(^{2}\)
Explanation:
Exp: A pq a = pq\(^{2}\) and b = p\(^{3}\)q where a and b are positive integers and p, q are prime numbers, then HCF = pq. Applying Medium **[Real Numbers]**
REAL NUMBERS
90239
The LCM of x and 18 is 36. The HCF of x and 18 is 2. What is the number x?
1 )2
2 )1
3 )4
4 )3
Explanation:
Exp: C 4 We know that LCM × HCF = First number × Second number HCF (x, 18) × LCM (x, 18) = x × 18 2 × 36 = x × 18
REAL NUMBERS
90241
The least positive integer divisible by 20 and 24 is:
1 )120
2 )480
3 )360
4 )240
Explanation:
Exp: A 120 Least positive integer divisible by 20 and 24 is LCM of (20, 24). 20 = 2\(^{2}\) × 5 24 = 2\(^{3}\) × 3 \(\therefore\) LCM (20, 24) = 2\(^{3}\) × 3 × 5 = 120 Thus 120 is divisible by 20 and 24.
REAL NUMBERS
90242
The sum of the exponents of the prime factors in the prime factorisation of 196, is:
