1.
Enter the average of 10, 30, and 50.
#Numerical answer type
Answer and explanation
Answer: 30
Average = .
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Enter the average of 10, 30, and 50.
Average = .
Which of the following numbers are perfect squares?
16
20
49
50
16 = 4² and 49 = 7² are perfect squares. 20 and 50 are not.
What is the compound interest on ₹10000 at 10% per annum for 2 years, compounded annually?
₹2000
₹2100
₹1900
₹2200
A = P(1 + R/100)^T = 10000 × (1.1)² = 10000 × 1.21 = ₹12100. CI = 12100 – 10000 = ₹2100.
What is the simple interest on ₹5000 at 8% per annum for 3 years?
₹1000
₹1200
₹1500
₹800
SI = (P × R × T) / 100 = (5000 × 8 × 3) / 100 = ₹1200.
The sum of two numbers is 50 and their difference is 10. What is the product of the two numbers?
600
575
525
650
Let numbers be x and y. x + y = 50, x – y = 10. Solving: x = 30, y = 20. Product = 30 × 20 = 600.
A shopkeeper buys an article for ₹800 and sells it for ₹1000. What is the profit percentage?
20%
25%
15%
10%
Profit = 1000 – 800 = ₹200. Profit% = (200/800) × 100 = 25%.
The total surface area of a cylinder with radius 7 cm and height 10 cm is:
748 cm²
374 cm²
440 cm²
880 cm²
TSA = 2πr(h + r) = 2 × (22/7) × 7 × (10 + 7) = 44 × 17 = 748 cm².
A train travels 360 km in 4 hours. What is its speed in km/h?
80
90
100
72
Speed = Distance / Time = 360 / 4 = 90 km/h.
What is the LCM of 12 and 18?
36
6
72
24
Prime factors: 12 = 2² × 3, 18 = 2 × 3². LCM = 2² × 3² = 36.
What are the roots of the equation x² – 5x + 6 = 0?
2 and 3
1 and 6
–2 and –3
3 and 4
Factorising: (x – 2)(x – 3) = 0. So x = 2 or x = 3.
If A : B = 3 : 5 and B : C = 4 : 7, what is A : C?
12 : 35
3 : 7
4 : 5
15 : 28
A : B = 3 : 5, B : C = 4 : 7. Make B common: A : B = 12 : 20, B : C = 20 : 35. So A : C = 12 : 35.
What is 15% of 240?
30
36
40
32
15% of 240 = (15/100) × 240 = 36.
What is the area of a triangle with base 10 cm and height 6 cm?
30 cm²
60 cm²
20 cm²
15 cm²
Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm².