1. If x% of x + y% of y = 2% of xy, then what percent of x is y?
यदि x का x% + y का y% = xy का 2%, तो x, y का कितना प्रतिशत है?
Option “A” is correct. x% of x + y% of y = 2% of xy It can be written as; 0.01x2 + 0.01y2 = 0.02 × xy ⇒ x2 + y2 = 2xy ⇒ x2 + y2 – 2xy = 0 ⇒ (x – y)2 = 0 ⇒ x = y ∴ x is 100% of y.
2. There are three friends P, Q and R. The income of Q is 25% more than the income of P and the income of R is 20% more than the incomes of Q. Income of R is what percent more than the income of P?
तीन दोस्त P, Q और R हैं। Q की आय P की आय से 25% अधिक है और R की आय Q की आय से 20% अधिक है, तो R की आय P की आय से कितने प्रतिशत अधिक है?
Option “B” is correct.
माना कि P, 4x है।
Q की आय = 4x × [5 / 4] = 5x
R की आय = 5x × [6 / 5] = 6x
∴ आवश्यक प्रतिशत = [(6x – 4x) / 4x] × 100 = 50%
3. A is 20% more than the B if A is increased by 10% and B increased by 20%, then by what percent A is more than B?
A, B से 20% अधिक है, यदि A में 10% और B में 20% की वृद्धि की जाती है, तब A, B से कितने प्रतिशत अधिक है?
Option “D” is correct.
Let the value of B be 100x.
Value of A = 100x × [6/5] = 120x
Value of A after increment = 120x × [11/10] = 132x
4. If the income of A is 24% less than income of B, then what percentage is B’s income is more than that of A?
यदि A की आय, B की आय से 24% कम है, तो B की आय, A की आय से कितने प्रतिशत अधिक है?
Option “C” is correct.
Let the income of B be 100x
Income of A = 100x × (76/100) = 76x
Income of B more than the income of A by = 100x – 76x = 24x
Required percentage = (24x/76x) × 100 = 600/19%
5. If B exceed A by 25%, then A is less than B by
यदि B, A से 25% अधिक है, तो A, B से कितना प्रतिशत कम है?
Option “C” is correct.
Given:
B exceed A by 25%
Calculation:
[(100 + 25)/100] × A = B
5A = 4B
A/B = 4/5
Let A = 4x and B = 5x
B – A = 5x – 4x = x
Required percentage = (x/5x) × 100 = 20%
∴ A is less than B by 20%
6. The price of oil is increased by 20%. However, its consumption decreased by 8 1/3%. What is the percentage increase or decrease in the expenditure on it?
तेल के मूल्य में 20% की वृद्धि होती है। हालाँकि, इसकी खपत में 8 1/3 की कमी आती है। इसके व्यय में प्रतिशत वृद्धि या कमी क्या है?
Option “D” is correct.
Let the price of the oil be Rs. x
According to the question = x × (120/100) × (11/12) = 1.1x
Percentage of expenditure increased by = [(1.1x – x)/x] × 100 = 10%
7. 60% of a number is 168, then what is the number?
Phile istra Appalachian rahta to kab ka selection ho jata
Reasoning ka section hindi me karao jaldi
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