sin² 60° + cos² 30° + cot² 45° + sec² 60° = ?
💡 Explanation: Values are 3/4, 3/4, 1, 4. Sum = 13/2. मान 3/4, 3/4, 1, 4 हैं। योग 13/2 है। @APNA_QUIZ
Find the value of: 500 + 600% of 100 - 600 + (20 × 5 + 500 - 200)
💡 Explanation: 500 + 600 - 600 + 400 = 900 using BODMAS. BODMAS का उपयोग करके 900. @APNA_QUIZ
A sum becomes 27 times in 3 years, compounded annually. Calculate annual interest rate.
💡 Explanation: 27 = (1+r/100)³ so 3 = 1+r/100. Rate = 200%. दर 200% है। @APNA_QUIZ
What is the value of: √900 + √0.09 - √0.000009
💡 Explanation: 30 + 0.3 - 0.003 = 30.297. @APNA_QUIZ
In a bag, coins of 5ps, 10ps, and 25ps are in ratio 3:2:1. Total is Rs 60. How many 5ps coins?
💡 Explanation: 15x + 20x + 25x = 6000 paise. x=100. 5ps coins = 300. सिक्के 300 हैं। @APNA_QUIZ
If sec²θ + tan²θ = 5/3, then what is the value of tan 2θ?
💡 Explanation: tanθ = 1/√3, so tan 2θ = √3. @APNA_QUIZ
If secθ - cosθ = 14 and 14secθ = x, then find the value of x.
💡 Explanation: sec²θ - 1 = 14secθ. Using identity, x = tan²θ. पहचान का उपयोग करते हुए, x = tan²θ. @APNA_QUIZ
Ratio of milk and water in 240L is 3:2. 40L removed and 9L milk added. Find final ratio.
💡 Explanation: Final milk = 129, water = 80. Ratio = 129:80. दूध 129, पानी 80. अनुपात 129:80. @APNA_QUIZ
Two numbers are in ratio 4:5 and their product is 8820. What is the sum of the numbers?
💡 Explanation: 20x² = 8820 so x=21. Sum = 9 × 21 = 189. योग 189 है। @APNA_QUIZ
If (6/5)^(2x+3) × (6/5)² = (6/5)^(x+4), then find the value of x.
💡 Explanation: 2x + 5 = x + 4, so x = -1. @APNA_QUIZ
If (a+b)² = 36 and ab = 8, then find the value of (a-b)².
💡 Explanation: (a-b)² = (a+b)² - 4ab = 36 - 32 = 4. @APNA_QUIZ
At 60 km/hr, a train passes a 1.5 km tunnel in 2 minutes. What is the length of the train?
💡 Explanation: Total distance = 2000m. Train = 2000 - 1500 = 500m. ट्रेन 500 मीटर लंबी है। @APNA_QUIZ
Arc length of a circle is 4.5π cm and sector area is 27π cm². What is the diameter?
💡 Explanation: Area = 0.5 × r × l. r=12, so Diameter = 24cm. त्रिज्या 12 है, व्यास 24 सेमी है। @APNA_QUIZ
A solid cone CSA is twice its base area and slant height is 6√3 cm. Its height is:
💡 Explanation: l=2r gives r=3√3. h = √(l² - r²) = 9 cm. ऊंचाई 9 सेमी है। @APNA_QUIZ
Successive discounts of 40% and 20% are equal to a discount of Rs 988. Find Marked Price.
💡 Explanation: Net discount = 52%. MP = 988/0.52 = 1900. अंकित मूल्य 1900 है। @APNA_QUIZ
Income 45k, Exp 33k. If Income increases by 20% and Exp by 12%, find % increase in saving.
💡 Explanation: New Saving = 17040. Increase = 5040/12000 = 42%. बचत 42% बढ़ी। @APNA_QUIZ
Simplify: (48 ÷ 8 + 25 - 6 × 4 + 3) - (25 ÷ 5 × 3 - 4 × 3)
💡 Explanation: 10 - 3 = 7 using BODMAS rule. BODMAS नियम से उत्तर 7 है। @APNA_QUIZ
5 women take 8 days and 8 children take 10 days for a work. 2 women and 4 children take?
💡 Explanation: Daily work = 2/40 + 4/80 = 1/10. Days = 10. समय 10 दिन है। @APNA_QUIZ
Fresh fruits have 72% water, dry fruit 20% water. How much dry fruit from 100 kg fresh?
💡 Explanation: Solid matter is 28kg. 80% of x = 28, so x = 35kg. सूखा फल 35 किग्रा है। @APNA_QUIZ
If α, β are roots of x² - x - 1 = 0, find equation whose roots are α/β and β/α.
💡 Explanation: Sum = -3, Product = 1. Eq: x² + 3x + 1 = 0. समीकरण x² + 3x + 1 = 0 है। @APNA_QUIZ
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