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Category: Arithmetic/ Basic Math

The angle of elevation of a ladder leaning against a wall is 60°, and the foot of the ladder is 4.6 m away from the wall. What is the length of the ladder?

August 17, 2025August 17, 2025 Irza Afzad

A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m

Two ships are sailing on opposite sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45°, respectively. If the lighthouse is 100 m high, what is the distance between the two ships?

August 17, 2025August 17, 2025 Irza Afzad

A. 173 m
B. 200 m
C. 273 m
D. 300 m

From a point𝑃P on level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, what is the distance of point𝑃P from the foot of the tower?

August 17, 2025August 17, 2025 Irza Afzad

A. 149 m
B. 156 m
C. 173 m
D. 200 m

An automobile financier claims to lend money at simple interest, but he compounds the interest every six months when calculating the principal. If he charges 10% per annum, what is the effective rate of interest?

August 17, 2025August 17, 2025 Irza Afzad

A. 10%
B. 10.25%
C. 10.50%
D. None of these

What will be the ratio of simple interest earned by a certain sum at the same rate of interest for 6 years to that for 9 years?

August 17, 2025August 17, 2025 Irza Afzad

A. 1 : 3
B. 1 : 4
C. 2 : 3
D. Data inadequate

A sum of money trebles itself in 15 years and 6 months at simple interest. In how many years will it double itself at the same rate?

August 17, 2025August 17, 2025 Irza Afzad

A. 6 years 3 months
B. 7 years 9 months
C. 8 years 3 months
D. 9 years 6 months

A sum of money amounts to Rs. 9,800 after 5 years and Rs. 12,005 after 8 years at the same rate of simple interest. What is the rate of interest per annum?

August 17, 2025August 17, 2025 Irza Afzad

A. 5%
B. 8%
C. 12%
D. 15%

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at simple interest. What is the rate of interest per annum?

August 17, 2025August 17, 2025 Irza Afzad

A. 3%
B. 4%
C. 5%
D. 6%

A man took a loan from a bank at 12% per annum simple interest. After 3 years, he had to pay Rs. 5,400 as interest for the period. What was the principal amount borrowed?

August 17, 2025August 17, 2025 Irza Afzad

A. Rs. 2,000
B. Rs. 10,000
C. Rs. 15,000
D. Rs. 20,000

Nabeela took a loan of Rs. 1,200 at simple interest for a number of years equal to the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest per annum?

August 17, 2025August 17, 2025 Irza Afzad

A. 3.6%
B. 6%
C. 18%
D. Cannot be determined

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