Question : If the number p is 5 more than q and the sum of the square of p and q is 55, then the product of p and q is:
Option 1: 10
Option 2: –10
Option 3: 15
Option 4: –15
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 15
Solution : Given: p = q + 5 ⇒ p – q = 5 Also, p2 + q2 = 55 ⇒ p2 + q2 – 2pq + 2pq = 55 ⇒ (p – q)2 + 2pq = 55 ⇒ 25 + 2pq = 55 ⇒ 2pq = 30 $\therefore$ pq = 15 Hence, the correct answer is 15.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : If the income of R is 30% more than the income of Q and the income of Q is 20% more than the income of P, then the income of R is how much percent more than the income of P?
Option 1: 50%
Option 2: 10%
Option 3: 56%
Option 4: 55%
Question : A sum of Rs. 120 is divided among p, q, and r in such a way that p gets Rs. 9 more than q and q gets Rs. 6 more than r. What is the ratio of shares of p, q, and r respectively?
Option 1: 18 : 15 : 13
Option 2: 15 : 12 : 10
Option 3: 16 : 13 : 11
Option 4: 11 : 8 : 10
Question : If p : q is 5 : 6 and q : r is 2 : 5, then what is p : q : r?
Option 1: 15 : 6 : 5
Option 2: 5 : 6 : 5
Option 3: 5 : 6 : 15
Option 4: 5 : 2 : 6
Question : If $p: q$ is $4: 3$ and $q: r$ is $5 : 2$. Find $p: q: r$.
Option 1: 20 : 15 : 6
Option 2: 10 : 4 : 7
Option 3: 15 : 6 : 20
Option 4: 7 : 4 : 10
Question : Three positive numbers are in the proportion of 2 : 3 : 5. If the sum of their squares is 342, then find the largest number.
Option 1: 35
Option 2: 55
Option 4: 25
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile