NDA
Q. If a = 2 and b = 3, what is the value of (a + b)²?
Show solution
Solution
(a + b)² = (2 + 3)² = 5² = 25.
Correct Answer: A — 25
Learn More →
Q. If a = 2 and b = 3, what is the value of a^2 + b^2?
Show solution
Solution
a^2 = 4 and b^2 = 9, so 4 + 9 = 13.
Correct Answer: C — 13
Learn More →
Q. If A = 2i + 3j and B = 4i + 0j, what is the value of A · B? (2022)
Show solution
Solution
A · B = (2)(4) + (3)(0) = 8 + 0 = 8
Correct Answer: B — 8
Learn More →
Q. If a = 4 and b = 5, what is the value of a² + b²?
Show solution
Solution
a² + b² = 4² + 5² = 16 + 25 = 41.
Correct Answer: A — 41
Learn More →
Q. If A = 4i + 3j and B = 0i + 5j, what is A · B? (2019)
Show solution
Solution
A · B = (4)(0) + (3)(5) = 0 + 15 = 15
Correct Answer: B — 15
Learn More →
Q. If A = 5i - 2j and B = -3i + 4j, calculate A · B. (2023)
Show solution
Solution
A · B = (5)(-3) + (-2)(4) = -15 - 8 = -23
Correct Answer: A — -23
Learn More →
Q. If A = 7i + 1j and B = 2i + 3j, what is the scalar product A · B? (2022)
Show solution
Solution
A · B = (7)(2) + (1)(3) = 14 + 3 = 17
Correct Answer: A — 23
Learn More →
Q. If a bill is introduced in the Lok Sabha and it takes 3 readings to pass, and each reading takes 5 days, how many days does it take to pass the bill?
Show solution
Solution
Total days = 3 readings * 5 days per reading = 15 days.
Correct Answer: B — 15
Learn More →
Q. If a bill is introduced in the Lok Sabha and it takes an average of 15 days to pass, how many days will it take to pass 5 such bills?
Show solution
Solution
Total days = 5 bills * 15 days/bill = 75 days.
Correct Answer: A — 60
Learn More →
Q. If a car accelerates uniformly from rest to a speed of 25 m/s in 10 seconds, what is the distance covered during this time? (2023)
A.
125 m
B.
150 m
C.
200 m
D.
250 m
Show solution
Solution
Distance = ut + (1/2)at². Here, u = 0, a = (25-0)/10 = 2.5 m/s². Distance = 0 + (1/2)(2.5)(10²) = 125 m.
Correct Answer: A — 125 m
Learn More →
Q. If a car covers a distance of 240 km in 3 hours, what is its speed in km/h? (2020)
A.
70 km/h
B.
80 km/h
C.
90 km/h
D.
100 km/h
Show solution
Solution
Speed = Distance / Time = 240 km / 3 hours = 80 km/h.
Correct Answer: B — 80 km/h
Learn More →
Q. If a car travels 60 km in 1 hour, how far will it travel in 2.5 hours at the same speed? (2019)
A.
150 km
B.
120 km
C.
180 km
D.
100 km
Show solution
Solution
Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.
Correct Answer: A — 150 km
Learn More →
Q. If a car travels 60 km in 1 hour, how far will it travel in 3 hours at the same speed? (2020)
A.
120 km
B.
180 km
C.
150 km
D.
200 km
Show solution
Solution
Distance = speed × time. Thus, distance = 60 km/h × 3 h = 180 km.
Correct Answer: B — 180 km
Learn More →
Q. If a car travels 60 km in 1 hour, how far will it travel in 3 hours?
A.
120 km
B.
180 km
C.
150 km
D.
200 km
Show solution
Solution
Distance = speed × time = 60 km/h × 3 h = 180 km.
Correct Answer: B — 180 km
Learn More →
Q. If a car travels 60 km in 1 hour, how far will it travel in 3.5 hours? (2022)
A.
180 km
B.
200 km
C.
210 km
D.
220 km
Show solution
Solution
Distance = speed × time = 60 km/h × 3.5 h = 210 km.
Correct Answer: C — 210 km
Learn More →
Q. If a car travels 60 km in 1 hour, how long will it take to travel 180 km at the same speed? (2019)
A.
2 hours
B.
3 hours
C.
4 hours
D.
1.5 hours
Show solution
Solution
Time = Distance/Speed = 180 km / 60 km/h = 3 hours.
Correct Answer: B — 3 hours
Learn More →
Q. If a car travels 60 km in 1 hour, what is its speed in m/s?
A.
10 m/s
B.
15 m/s
C.
20 m/s
D.
25 m/s
Show solution
Solution
Speed in m/s = (distance in km * 1000) / (time in hours * 3600). Here, speed = (60 * 1000) / (1 * 3600) = 16.67 m/s, which rounds to 20 m/s.
Correct Answer: C — 20 m/s
Learn More →
Q. If a car travels 60 km in 1 hour, what is its speed in meters per second?
A.
16.67 m/s
B.
20 m/s
C.
25 m/s
D.
30 m/s
Show solution
Solution
Speed in m/s = (60 km * 1000 m/km) / (3600 s) = 16.67 m/s.
Correct Answer: A — 16.67 m/s
Learn More →
Q. If a car travels at a speed of 80 km/h, how long will it take to cover 200 km? (2019)
A.
2.5 hours
B.
3 hours
C.
2 hours
D.
4 hours
Show solution
Solution
Time = Distance / Speed = 200 km / 80 km/h = 2.5 hours.
Correct Answer: A — 2.5 hours
Learn More →
Q. If a car travels at a speed of 80 km/h, how long will it take to cover 240 km? (2019)
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 240 km / 80 km/h = 3 hours.
Correct Answer: C — 4 hours
Learn More →
Q. If a certain disease affects 1 in every 1000 people, what is the expected number of cases in a population of 50,000? (2020)
A.
50
B.
100
C.
200
D.
500
Show solution
Solution
Expected cases = (1/1000) * 50000 = 50 cases.
Correct Answer: B — 100
Learn More →
Q. If a circle has a radius of 7 cm, what is its circumference?
A.
14π cm
B.
21π cm
C.
28π cm
D.
49π cm
Show solution
Solution
The circumference of a circle is given by 2πr. Here, r = 7 cm, so circumference = 2π * 7 = 14π cm.
Correct Answer: B — 21π cm
Learn More →
Q. If a circle has a radius of 7 cm, what is its circumference? (Use π = 22/7)
A.
44 cm
B.
22 cm
C.
14 cm
D.
28 cm
Show solution
Solution
Circumference = 2πr = 2 × (22/7) × 7 = 44 cm.
Correct Answer: A — 44 cm
Learn More →
Q. If a circle has a radius of 7 cm, what is its circumference? (Use π ≈ 3.14)
A.
21.98 cm
B.
43.96 cm
C.
14 cm
D.
28 cm
Show solution
Solution
Circumference = 2 * π * radius = 2 * 3.14 * 7 ≈ 43.96 cm.
Correct Answer: B — 43.96 cm
Learn More →
Q. If a circle has a radius of 7 units, what is its area?
A.
154
B.
144
C.
100
D.
50
Show solution
Solution
Area = π * r^2 = π * 7^2 = 154 (using π ≈ 22/7).
Correct Answer: A — 154
Learn More →
Q. If a circle's radius is doubled, how does its area change? (2020)
A.
It remains the same
B.
It doubles
C.
It triples
D.
It quadruples
Show solution
Solution
Area = πr². If radius is doubled (2r), new area = π(2r)² = 4πr², which is quadruple the original area.
Correct Answer: D — It quadruples
Learn More →
Q. If a circuit has a resistance of 5 ohms and a current of 2 amperes, what is the voltage across the circuit?
A.
10 V
B.
5 V
C.
2 V
D.
1 V
Show solution
Solution
Using Ohm's Law (V = I * R), V = 2 A * 5 Ω = 10 V.
Correct Answer: A — 10 V
Learn More →
Q. If a cyclist travels at a speed of 15 km/h for 1 hour and then at 20 km/h for 2 hours, what is the average speed for the entire journey? (2022)
A.
17 km/h
B.
18 km/h
C.
19 km/h
D.
20 km/h
Show solution
Solution
Total distance = 15 km + 40 km = 55 km; Total time = 1 h + 2 h = 3 h; Average speed = Total distance / Total time = 55 km / 3 h = 18.33 km/h.
Correct Answer: B — 18 km/h
Learn More →
Q. If a disease has a 15% prevalence in a population and a test has a 95% specificity, what is the probability of a false positive result? (2021)
A.
0.05
B.
0.15
C.
0.20
D.
0.25
Show solution
Solution
The probability of a false positive is equal to 1 - specificity = 1 - 0.95 = 0.05.
Correct Answer: A — 0.05
Learn More →
Q. If a disease has a basic reproduction number (R0) of 2.5, how many people can one infected person potentially infect in 3 generations? (2023)
A.
15.625
B.
10
C.
20
D.
5
Show solution
Solution
Total infections = R0^n = 2.5^3 = 15.625.
Correct Answer: A — 15.625
Learn More →
Showing 181 to 210 of 914 (31 Pages)
