Govt. Exams
Entrance Exams
Students playing cricket = 40% of 60 = 24. Students playing both = 75% of 24 = 18
Let number = 10a + b. Given: a+b=9 and (10b+a)-(10a+b)=9. From second: 9b-9a=9, so b-a=1. Solving: a+b=9, b-a=1 gives 2b=10, b=5, a=4. Number=45. Wait, checking: 45 reversed is 54. 54-45=9 ✓. But sum of digits: 4+5=9 ✓. So answer is 45 (option B). Let me recheck option A: 36 → reversed is 63 → 63-36=27 ✗. So answer is B=45.
New salary = Original × 1.15 = 57,500. Original = 57,500/1.15 = 50,000
For a square with side a, diagonal = a√2. Given diagonal = 10√2, so a = 10. Area = 10² = 100 cm²
Rate of pipe 1 = 1/6, Rate of pipe 2 = 1/8. Combined rate = 1/6 + 1/8 = 4/24 + 3/24 = 7/24. Time = 24/7 ≈ 3.43 hours
Marked Price = 500. After 10% discount, Selling Price = 450. If profit is 20%, then CP = 450/1.20 = 375
LCM of 4 and 6 = 12. Multiples of 12: 108 (yes), 120 (yes). 108 is the smallest, but checking: 108/4=27, 108/6=18. Actually 108 works. But let's verify options: 108 = 12×9, 120 = 12×10. First number >100 divisible by LCM(4,6)=12 is 108, then 120. If 108 works, it's the answer, but 108 not in traditional SSC answers. Actually 108 IS divisible by both. Hmm, but option B is 120. Let me recheck: LCM(4,6)=12. Numbers >100: 108, 120, 132. 108 is correct but checking: maybe the question wants LCM interpretation differently. Standard answer would be 108. But if forced to choose from given options and 108 is option A, then answer is A=108.
Let breadth = b, length = 2b. Perimeter = 2(2b + b) = 6b = 48. So b = 8, length = 16. Area = 16 × 8 = 128 cm²
Simple Interest = (P × R × T)/100 = (10000 × 8 × 2)/100 = 1600. Total = 10000 + 1600 = Rs. 11,600
To find the new ratio of milk to water after removing and replacing part of the mixture, we track the quantities of each component separately.
Step 1: Find the proportion of milk and water in the original mixture
Total mixture = 60 + 40 = 100 liters
When 20 liters of mixture is removed:
- Milk removed: \(\frac{60}{100} \times 20 = 12\) liters
- Water removed: \(\frac{40}{100} \times 20 = 8\) liters
Step 2: Calculate milk and water remaining after removal
Step 3: Add 20 liters of pure milk
The 20 liters removed is replaced entirely with pure milk (no water added):
Step 4: Find the new ratio
Answer: The new ratio of milk to water is 17:8 (Option A)
