Statewise Prepration
Govt. Examwise MCQ
2717+ MCQ Questions in english हिन्दी
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
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
The sum of the first 20 natural numbers is:
Sum = n(n+1)/2 = 20×21/2 = 210
What is the area of a rectangle with length 10 cm and breadth 4 cm?
Explanation: Area = L × B = 10 × 4 = 40 cm²
A number when divided by 8 leaves a remainder 3. What is the number if quotient is 7?
Explanation: N = 8×7 + 3 = 59
What is the simple interest on ₹1000 at 5% for 2 years?
Explanation: SI = (P×R×T)/100 = (1000×5×2)/100 = 100
If x = 3, find the value of x² + 2x
Explanation: 3² + 2×3 = 9 + 6 = 15
Find the average of 6, 8, 10, 12, 14
Explanation: Sum = 50, Total numbers = 5, Average = 50 ÷ 5 = 10
What is (18 ÷ 3) + (4 × 2)?
Explanation: (18 ÷ 3) = 6; (4 × 2) = 8; Total = 6 + 8 = 14
What is the approximate forest cover in Uttar Pradesh as per recent estimates?
Although forest cover is limited, efforts are ongoing to increase greenery, especially in Bundelkhand and Sonbhadra.
Which is the largest freshwater lake in Uttar Pradesh?
Located in Gorakhpur, Ramgarh Taal is the largest natural freshwater lake and a popular tourism and biodiversity site.
What is the main mineral found in Sonbhadra district?
Sonbhadra is rich in coal reserves and is often called the "Energy Capital of India" due to several power plants.
The Terai region of UP lies along which border?
The Terai belt, a marshy and forested region, lies adjacent to the Nepal border in northern UP.
Which of these is a major tributary of the Yamuna River in UP?
The Betwa River flows through Jhansi and Hamirpur districts before merging with the Yamuna.
Which soil type is most common in Uttar Pradesh?
Due to its location in the Ganga basin, UP has fertile alluvial soils ideal for crop production.
Which major landform divides the Ganga and Yamuna rivers?
The Doab is a fertile alluvial tract between the Ganga and Yamuna rivers and is agriculturally very rich
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