All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
7201
A ratio is 5:8. If the antecedent is 40, the consequent is:
Answer:
64
Ratio = Antecedent / Consequent. 5/8 = 40/x. 5x = 320 => x = 64.
7202
If the ratio of the cost price to the selling price is 5:6, the profit percent is:
Answer:
20%
CP = 5x, SP = 6x. Profit = x. Profit % = (Profit/CP)*100 = (x/5x)*100 = 20%.
7203
If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is:
Answer:
3:20
0.4A = 0.06B. A/B = 0.06 / 0.4 = 6 / 40 = 3 / 20. Ratio is 3:20.
7204
Which ratio is greater: 2:3 or 4:5?
Answer:
4:5
Convert to fractions: 2/3 = 0.666..., 4/5 = 0.8. Since 0.8 > 0.666..., the ratio 4:5 is greater.
7205
A sum is divided among X, Y, Z in ratio 4:5:6. If Z gets Rs. 600 more than X, what is Y's share?
Answer:
Rs. 1500
Ratio 4k, 5k, 6k. Z - X = 6k - 4k = 2k = 600 => k = 300. Y's share = 5k = 5 * 300 = Rs. 1500.
7206
Salaries of A, B, and C are in the ratio 2:3:5. If total salary of A and B is Rs. 15000, find the salary of C.
Answer:
Rs. 15000
A = 2x, B = 3x, C = 5x. A + B = 5x = 15000. C's salary is also 5x, which means C's salary is Rs. 15000.
7207
Rs. 600 are divided among A, B, and C so that Rs. 40 more than 2/5th of A's share, Rs. 20 more than 2/7th of B's share, and Rs. 10 more than 9/17th of C's share are all equal. A's share is:
Answer:
Rs. 150
Let 2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = k. A = 5(k-40)/2, B = 7(k-20)/2, C = 17(k-10)/9. A+B+C=600. Let k=100. A=5(60)/2=150. B=7(80)/2=280. C=17(90)/9=170. 150+280+170=600. A's share is 150.
7208
A map is drawn with a scale of 1:500000. If two cities are 4 cm apart on the map, the actual distance between them is:
Answer:
20 km
Actual distance = 4 cm * 500,000 = 2,000,000 cm. Since 100 cm = 1 m and 1000 m = 1 km, 1 km = 100,000 cm. Distance = 2,000,000 / 100,000 = 20 km.
7209
The ratio of present ages of two friends is 2:3 and 6 years ago, the ratio was 1:2. The present age of the older friend is:
Answer:
18 years
Present ages 2x, 3x. 6 years ago: (2x - 6) / (3x - 6) = 1 / 2. 4x - 12 = 3x - 6 => x = 6. Older friend = 3x = 18 years.
7210
If x:y = 2:1, then (x^2 - y^2) : (x^2 + y^2) is:
Answer:
3:5
Substitute x=2, y=1: (2^2 - 1^2) / (2^2 + 1^2) = (4 - 1) / (4 + 1) = 3 / 5. Ratio is 3:5.