8297+ MCQ Questions in english हिन्दी

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If A:B = 2:3 and B:C = 4:5, what is A:C?

A:B = 2:3, B:C = 4:5 ⇒ LCM of B = 12 ⇒ A:C = 8:15

A cone has a height of 12 cm and radius 5 cm. What is its volume? (π = 3.14)

Explanation: V = (1/3)πr²h = (1/3)×3.14×25×12 = 314

In how many ways can the letters of the word "TALATHI" be arranged?

xplanation: Total letters = 7, but 'T' appears twice ⇒ 7!/2! = 5040/2 = 2520

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Find the median of 4, 7, 9, 15, 21

Explanation: Middle number = 9

What is the angle between the hands of a clock at 3:30?

Angle = |(30×hr − (11/2)×min)| = |(30×3 − 11/2×30)| = |90 − 165| = 75°

The volume of a cube is 512 cm³. What is its side length?

Explanation: Cube root of 512 = 8

A man can do a work in 15 days, and a boy can do the same in 30 days. Working together, how long will they take?

Explanation: 1/15 + 1/30 = 1/10 ⇒ Time = 10 days

A car travels 360 km in 4.5 hours. What is the average speed?

Explanation: Speed = Distance / Time = 360 ÷ 4.5 = 80

A pipe can fill a tank in 6 hours, another can empty it in 9 hours. If both are opened together, in how many hours will the tank be full?

Explanation: Net fill rate = 1/6 − 1/9 = (3−2)/18 = 1/18 ⇒ Time = 18 hours

What is the value of sin²θ + cos²θ?

Explanation: This is a fundamental identity in trigonometry: sin²θ + cos²θ = 1

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If the ratio of boys to girls in a class is 3:2 and there are 30 students, how many are girls?

Explanation: Total parts = 3+2 = 5; Girls = 2/5 × 30 = 12

The tomb of Hoshang Shah in Mandu inspired the architecture of:

If the area of a circle is 154 cm², find its radius. (Use π = 22/7)

Explanation: A = πr² ⇒ 154 = (22/7)×r² ⇒ r² = 49 ⇒ r = 7 cm

Hoshang Shah ruled which kingdom?

A number when increased by 20% gives 72. What is the number?

Explanation: Let number be x ⇒ x + 20%x = 72 ⇒ x(1.2) = 72 ⇒ x = 72/1.2 = 60

Which Muslim ruler captured Mandu and renamed it ‘Shadiabad’?

The compound interest on ₹10,000 at 10% p.a. for 2 years is:

Explanation: CI = P(1 + r/100)ⁿ − P = 10000×(1.1)² − 10000 = ₹12100 − ₹10000 = ₹2100

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A train 150 meters long crosses a pole in 15 seconds. What is its speed?

Explanation: Speed = Distance/Time = 150/15 = 10 m/s = 10 × 18/5 = 54 km/h

The sum of the first 20 natural numbers is:

Sum = n(n+1)/2 = 20×21/2 = 210

The capital of King Bhoja was:

What is the area of a rectangle with length 10 cm and breadth 4 cm?

Explanation: Area = L × B = 10 × 4 = 40 cm²

King Bhoja of Dhar was a great patron of:

A number when divided by 8 leaves a remainder 3. What is the number if quotient is 7?

Explanation: N = 8×7 + 3 = 59

Who was the most famous ruler of the Paramara dynasty?

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What is the simple interest on ₹1000 at 5% for 2 years?

Explanation: SI = (P×R×T)/100 = (1000×5×2)/100 = 100

Which ruler established the Paramara dynasty in Malwa?

Which famous ancient university was located in MP?

If x = 3, find the value of x² + 2x

Explanation: 3² + 2×3 = 9 + 6 = 15

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