Question : The total number of prime factors in $4^{10}\times 7^{3}\times 16^{2}\times11\times 10^{2}$ is:
Option 1: 34
Option 2: 35
Option 3: 36
Option 4: 37
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 36
Solution : Given: $4^{10}\times7^{3}\times16^{2}\times11\times10^{2}$ Rewrite this equation with the prime factors. $(2^{2})^{10}\times7^{3}\times(2^{4})^{2}\times11\times2^{2}\times5^{2}$ = $2^{20+8+2}\times7^{3}\times11^{1}\times5^{2}$ = $2^{30}\times7^{3}\times11^{1}\times5^{2}$ Total number of prime factors = 30 + 3 + 1 + 2 = 36 Hence, the correct answer is 36.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Calculate the total number of prime factors in the expression $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$.
Question : Find the sum of the first five terms of the following series: $\frac{1}{1×4} + \frac{1}{4×7}+\frac{1}{7×10}+...$
Question : The total number of workers in a company is 960. If the number of female workers in the company is 420, then the respective ratio of the total number of male workers to the total number of female workers in the company is:
Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:
Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile