Entrance Exams
Govt. Exams
60% of 1000 = 600. 25% of 600 = 150.
x^2 + 5x + 6 = (x+2)(x+3) = 0. So x = -2 or x = -3.
Differences: 5-2=3, 10-5=5, 17-10=7, 26-17=9. Next difference = 11. So 26+11 = 37. Pattern: n^2 + 1 for n=1,2,3,4,5: 2,5,10,17,26,37.
At 3:00, the minute hand is at 12 and hour hand is at 3. Each hour represents 30° (360°/12). Angle = 3 × 30° = 90°.
From 'all roses are flowers' and 'some flowers are red', we can conclude that some roses might be red, but we cannot definitively say all roses are red. The safest conclusion from the logical overlap is that some roses could be red.
12, 24, 36, 48 are all multiples of 12. 62 is not a multiple of 12.
Rate of filling = 1/6 + 1/8 - 1/12 = (4+3-2)/24 = 5/24. Time = 24/5 = 4.8 hours. Hmm, let me recalculate: (1/6 + 1/8 - 1/12) = (4+3-2)/24 = 5/24. So time = 1/(5/24) = 24/5 = 4.8. But 3.43 is closest to our options, let me verify the calculation once more with LCM 24: 1/6 = 4/24, 1/8 = 3/24, 1/12 = 2/24. Net = (4+3-2)/24 = 5/24. Time = 24/5 = 4.8. None match exactly, but checking: could the answer key have error?
CI = P(1+R/100)^T - P = 10000(1.1)^2 - 10000 = 10000(1.21) - 10000 = 12100 - 10000 = 2100.
24 = 2^3 × 3, 36 = 2^2 × 3^2, 48 = 2^4 × 3. LCM = 2^4 × 3^2 = 16 × 9 = 144.
Work = 5 × 12 = 60 man-days. For 3 days: Men needed = 60/3 = 20 men.