8906+ MCQ Questions in english हिन्दी

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Jhansi was annexed by British under which policy?

The sum of the digits of a two-digit number is 11. If the digits are reversed, the number increases by 27. What is the original number?

Let the tens digit = x, units digit = y So the number = 10x + y

A cylinder and a cone have the same base radius and height. If the volume of the cylinder is 150 cm³, what is the volume of the cone?

Volume of a cylinder = πr²h Volume of a cone = (1/3)πr²h = (1/3) × Volume of the cylinder ⇒ (1/3) × 150 = 75 cm³

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If length of arc = 5π & radius = 10, central angle =

(arc = rθ → θ rad = 5π/10 = π/2 rad = 90°)

Tantya Tope fought which battle in MP during 1857 revolt?

If u: twice differentiation of x³ gives

Equation of perpendicular bisector of AB joining (2,3) and (6,7):

x + y = 9

The radius of circumscribed circle about square of side 10 =

5√2

If a + b + c = 0, then a³ + b³ + c³ =

3abc

. Radius of circle inscribed in right triangle (6, 8, 10) is:

r = (a + b – c)/2 = (6+8–10)/2 = 2.

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What is the area of triangle with sides (13, 14, 15)?

s = 21; area = √[21·8·7·6] = 84.

Which queen of Bhopal was known for her administrative skills?

Sum of cubes of first n natural numbers equals 2025. n is:

n(n+1)/2) 2 =2025 → n(n+1)/2 = 45 → n(n+1) = 90 → n = 9.

Bhopal was ruled by a dynasty of:

Which British agency controlled the princely states of MP?

Who defeated Rani Durgavati in battle?

Rani Durgavati belonged to which dynasty?

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A man spends 3/5 of his salary. If he saves ₹8000, what is his salary?

Saving = 2/5 of salary ⇒ 2/5x = 8000 ⇒ x = 8000×5/2 = ₹20,000

Which tribal dynasty ruled over Garha-Katanga region?

Find the value of x: 2x + 5 = 17

Explanation: 2x = 12 ⇒ x = 6

If the area of an equilateral triangle is 49√3 cm², find its side.

Explanatio n: Area= (√3/4)×a² ⇒ 49√3 = (√3/4)×a² ⇒ a² = 196 ⇒ a = 14 cm

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

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