Q1: In how many ways can the letters of the word “MINUTE” be arranged such that vowels occupy odd places?
- A) 360
- B) 36
- C) 120
- D) None of these
Correct Answer: Option B
The total ways to arrange the vowels and consonants are 36.
Q2: Two types of rice are mixed and sold at Rs. 40 per kg. If mixed in two different ratios, the profit percentages differ. What is the ratio of their cost prices?
- A) 1:1
- B) 24:19
- C) 19:24
- D) None of these
Correct Answer: Option C
The ratio of the cost prices is 19:24 after solving the equations.
Q3: 1240 apples are distributed among men and women such that each man gets 7 apples and each woman gets 12. How many women were present?
- A) 24
- B) 36
- C) 60
- D) 100
Correct Answer: Option C
The total number of women is 60.
Q4: Three friends score 342 runs. The ratios of their scores are given. How many runs did Romu score?
- A) 96
- B) 64
- C) 72
- D) None of these
Correct Answer: Option C
Romu scored 72 runs.
Q5: The angle of depression of two points from a building are 30° and 75°. What is the height of the building?
- A) \( \frac{500(\sqrt{3} + 1)}{2} \)
- B) \( \frac{500(\sqrt{3} – 1)}{4} \)
- C) \( \frac{500(\sqrt{3} + 1)}{4} \)
- D) None of these
Correct Answer: Option C
The height of the building is \( \frac{500(\sqrt{3} + 1)}{4} \).
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