Subjectwise MCQ
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163 Mathematics MCQ Questions in english हिन्दी
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
If length of arc = 5π & radius = 10, central angle =
(arc = rθ → θ rad = 5π/10 = π/2 rad = 90°)
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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.
What is the area of triangle with sides (13, 14, 15)?
s = 21; area = √[21·8·7·6] = 84.
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.
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
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
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
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
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
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
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
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
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