Question 1 of 5
Find out the number missing in the following series: 2, 5, 10, 17, ?, 37, 50, 65.
Why: The series follows the pattern of adding consecutive odd numbers starting from 3: 2+3=5, 5+5=10, 10+7=17, 17+9=26, 26+11=37, 37+13=50, 50+15=65. The missing number is 26, which corresponds to option D.
Question 2 of 5
What is the circumference of a circle measured by?
A
diameter
B
radius
C
sector
D
arc
Why: The circumference of a circle is calculated using the formula \( C = \pi \times d \), where d is the **diameter**. Thus, it is measured by the diameter, which is option A. Radius is half the diameter, sector is a portion, and arc is part of the circumference.
Question 3 of 5
The population of a certain village increases by 5% every year. Its present population is 8000. The population after 3 years will amount to?
A
9261
B
9000
C
8500
D
9500
Why: This is a compound interest problem where population increases by 5% annually. Using the compound growth formula: Final Population = P(1 + r/100)^n, where P = 8000, r = 5%, n = 3 years. Calculation: 8000 × (1.05)^3 = 8000 × 1.157625 = 9261. Therefore, the population after 3 years will be 9261, which corresponds to option A.
Question 4 of 5
Find 15% of 400.
Why: To find 15% of 400, we use the percentage formula: Percentage = (Percentage Value / 100) × Total. Calculation: (15/100) × 400 = 0.15 × 400 = 60. Therefore, 15% of 400 equals 60, which is option C.
Question 5 of 5
Find 5% of 1,20,000 (One lakh twenty thousand).
A
5000
B
6000
C
7000
D
8000
Why: To calculate 5% of 1,20,000, we apply the percentage formula: Percentage = (Percentage Value / 100) × Total. Calculation: (5/100) × 1,20,000 = 0.05 × 1,20,000 = 6,000. Therefore, 5% of 1,20,000 equals 6,000, which is option B. This demonstrates the practical application of percentage calculations in real-life scenarios involving large numbers.
