Question : Which of the following numbers is not a factor of $5^p7^q,(p\neq 0,q\neq 0)$?
Option 1: 35
Option 2: 175
Option 3: 1225
Option 4: 735
Correct Answer: 735
Solution : Checking the factors of all the options for divisibility by 5 and 7. 35 = 5 × 7 175 = 5 × 5 × 7 1225 = 5 × 5 × 7 × 7 735 = 5 × 7 × 7 × 3 735 has a factor of 3 other than 5 and 7. $\therefore$ 735 is not a factor of $5^p7^q$. Hence, the correct answer is 735.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : If the sum of $\frac{a}{b}$ and its reciprocal is 1 and $a\neq 0,b\neq 0$, then the value of $a^{3}+b^{3}$ is:
Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}(a\neq b\neq c)$, then the value of $abc$ is:
Question : The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q invests for 2 years. What is the ratio of profit of P and Q?
Question : Which one of the following is a factor of the sum of the first twenty-five natural numbers?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile