Question 1 of 5
Which of the following is a prime number?
Why: To identify a prime number, we need to check if it has any divisors other than 1 and itself. Let's analyze each option: 517 = 11 × 47 (composite), 559 = 13 × 43 (composite), 571 is not divisible by any prime number up to its square root (approximately 23.9), making it prime, and 533 = 13 × 41 (composite). Therefore, 571 is the only prime number among the given options, making option C the correct answer.
Question 2 of 5
Calculate the simple interest on Rs 6000 at 6% per annum for 2 years.
Why: The simple interest formula is SI = (P × R × T) / 100. Here, Principal (P) = Rs 6000, Rate (R) = 6% per annum, and Time (T) = 2 years. Multiplying: 6000 × 6 × 2 = 72000. Dividing by 100 gives 720. The simple interest is Rs 720.
Question 3 of 5
Compare the simple interest on the following amounts and arrange them in descending order: (A) Rs 6000 at 6% per annum for 2 years, (B) Rs 2000 at 5% per annum for 5 years, (C) Rs 8040 at 5% per annum for 4 years, (D) Rs 500 at 12% per annum for 2 years.
A
(C), (A), (B), (D)
B
(A), (C), (B), (D)
C
(C), (B), (A), (D)
D
(A), (B), (C), (D)
Why: Using the simple interest formula SI = (P × R × T) / 100, calculate for each option: (A) SI = (6000 × 6 × 2) / 100 = 720, (B) SI = (2000 × 5 × 5) / 100 = 500, (C) SI = (8040 × 5 × 4) / 100 = 1608, (D) SI = (500 × 12 × 2) / 100 = 120. Arranging in descending order: C (1608) > A (720) > B (500) > D (120). Therefore, the correct order is (C), (A), (B), (D), which is option A.
Question 4 of 5
Simplify the following expression using BODMAS: 50 ÷ 5 + 3 × 4 - 2
Why: BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. In the expression 50 ÷ 5 + 3 × 4 - 2, we first handle division and multiplication: 50 ÷ 5 = 10 and 3 × 4 = 12. This gives us 10 + 12 - 2. Then we perform addition and subtraction from left to right: 10 + 12 = 22, and 22 - 2 = 20.
Question 5 of 5
What is the result of 25 × 4 ÷ 2 + 10 - 5?
Why: Following BODMAS, multiplication and division are performed before addition and subtraction. First: 25 × 4 = 100. Then: 100 ÷ 2 = 50. This gives us 50 + 10 - 5. Adding: 50 + 10 = 60. Finally, subtracting: 60 - 5 = 55.
