ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



1 vote

The angles in a quadrilateral PQRS are such that angle S is fourth proportional of angles P, Q and R. If the ratio of angles Q and P is 5 : 4, and angle S is 125°, find the measure of angle R.

Asked on by | Votes 1 | Views: 317 | Tags: ratio and proportion     | quantitative aptitude     | Add Bounty

The angles in a quadrilateral PQRS are such that angle S is fourth proportional of angles P, Q and R. If the ratio of angles Q and P is 5 : 4, and angle S is 125°, find the measure of angle R.
1). 90°
2). 100°
3). 108°
4). 120°


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

0 vote
Answered by on | Votes 0 |

Angle S is fourth proportional of angles P, Q and R.

⇒ P/Q = R/S

Ratio of angles Q and P is 5 : 4, and angle S is 125°.

So, P/Q = 4/5

⇒ 4/5 = R/125

⇒ R = 4 × 25 = 100

∴ Measure of angle R is 100°.

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (4+3)
Submit:

Other Questions

1. An amount of Rs. 107.25 is made up of 100p, 50p and 25p coins, the number of coins being in the ratio 5 : 6 : 7 respectively. How many coins are present in total?

2.  If the liquid soap of a 16 Rs/ litres is diluted and sold at 17 Rs./litres, in what proportion water should be mixed to gain 25% ?

3.  Suman started business investing Rs 40,000. After 6 months Abhinav joined with Rs 25,000. After another 6 months Swati joined with Rs 16,000. find ratio of profit shared between three partners after

4.  A bag contains 50p,Rs.1/- and Rs2/- coins in the ratio of 4:2:1 respectively. If the total money in the bag is Rs.60/-. Find the number of 50p coins in that bag?

5. If \({\rm{x}} = \frac{{\sqrt {{\rm{a\;}} + {\rm{\;}}3{\rm{b}}} {\rm{\;}} + {\rm{\;}}\sqrt {{\rm{a}} - 3{\rm{b}}} }}{{\sqrt {{\rm{a\;}} + {\rm{\;}}3{\rm{b}}} - \sqrt {{\rm{a}} - 3{\rm{b}}} }}\) , then find the value of  \(3{\rm{b}}{{\rm{x}}^2} - {\rm{\;}}2{\rm{ax\;}} + {\rm{\;}}3{\rm{b}} .\)

6.  The ratio of the earnings of A to B is 5 : 8. If the earnings of A increases by 25% and that of B decreases by 25%, what is the new ratio of their earnings ?

7. Sunil and Raju together have Rs. 1890. If five- eighth of Sunil’s amount is equal to half of Raju’s amount. Then find the amount which Sunil holds.

8. Ram is 20 years younger than Shyam. 5 years ago, the ratio of their age was 3:5. The sum of their present age is

9. The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?

10. The ratio of speed of three racers is 3 : 4 : 6. What is the ratio of time taken by the three racers to cover the same distance?