Entrance Exams
Govt. 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
Initial ratio milk:water = 60:40 = 3:2. Removing 20L mixture removes 12L milk and 8L water. New milk = 60-12+20 = 68L, water = 40-8 = 32L. Ratio = 68:32 = 17:8... Let me recalculate: Ratio = 60:40 simplified. After removing 20L (in ratio 3:2): milk 48, water 32. Add 20L milk: milk 68, water 32. Ratio = 68:32 = 17:8. Check options... Actually 68/32 ≈ 2.125, which is closer to 2:1 but let's verify: 68:32 = 17:8 (not matching). Actually should be approximately 3:1 range.