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Director (1 – 5): In the given questions, two numbers are given as one ‘Number I’ and the other as ‘Quantity II’. You must determine the relationship between the two quantities and select the appropriate option.
Q1. Three numbers A, B and C have a ratio of 25 : 22 : 13 and their average is 300.
Number I – If A increased by 20%, B increased by 15%, then find by what percentage C increased, if their average increased by 16 ⅔%.
Number II – 13%
(a) Quantity I > Quality II
(b) Quantity I < Quality II
(c) Number I ≥ Number II
(d) Number I = Number II or no relation
(e) Number I≤ Number II
Q2. The average current age of Anurag, Bhavesh and Chindi is 35 years. A year ago, Bhavesh is twice Chindi’s age, while five years hence, Anurag is two-thirds of Bhavesh’s age.
Number I – Find Anurag’s age when Chindi was born.
Number II – 6 years
(a) Quantity I > Quality II
(b) Quantity I < Quality II
(c) Number I ≥ Number II
(d) Number I = Number II or no relation
(e) Number I≤ Number II
Q3. Number I:– The square of side 7/2 meters is rolled in a circle. The area of the circle.
Number II: – A cylinder with a height of 7 meters and a radius of the base of 50 centimeters is the thick surface of the cylinder.
(a) Quantity I > Quality II
(b) Quantity I < Quality II
(c) Number I ≥ Number II
(d) Number I = Number II or no relation
(e) Number I≤ Number II
Q4. A train 480 meters long and 420 meters long moves against each other in 12 seconds. The ratio between the speed of the long train and the small train is 7:8 and the faster train crosses a platform in 18 seconds.
Number I – Time taken by the slower train (in seconds) to cross a bridge 120 meters longer than the platform.
Number II – 26 sec
(a) Quantity I > Quality II
(b) Quantity I < Quality II
(c) Number I ≥ Number II
(d) Number I = Number II or no relation
(e) Number I≤ Number II
Q5. A boat can travel 5 km in still water in 30 minutes. The speed of the current is half the speed of the boat in the water.
Number I – If a ship takes 2⅔ hours to row a place and return, then find how far the place is.
Number II – 8750 meters
(a) Quantity I > Quality II
(b) Quantity I < Quality II
(c) Number I ≥ Number II
(d) Number I = Number II or no relation
(e) Number I≤ Number II
Rules (6-10):- Each of the following questions are provided with two numbers I, and II. You must determine the value of the quantities using the information provided and compare the quantities according to the guideline provided below.
(a) Quantity I> Quantity II
(b) Quantity I≥Quantity II
(c) Number I
(d) Quantity I≤Quantity II
(e) Quantity I=Quantity II or no relationship
Q6. What is the number?
Number I: 70% of the number 63.
Number II: 20% is number 40.
Q7. Find the distance covered.
Number I: the speed of the bicycle is 20 km/h during the 2-hour journey.
Number II: It takes 3 hours to cover a road at a uniform speed of 12 km/h.
Q8. Find the population of the city in the previous year.
Number I: The population increases by 10% every year and is now 11,000.
Number II: Last year, the male population was 40% more than the female population, which was 5000.
Q9.
Number I: The average score in physics and chemistry is 75 and that of physics, chemistry and mathematics is 80. Find scores in math.
Number II: 90
Q10.
Number I: Raj spends 30% of his income on rent and the remaining 40% on miscellaneous items. If he saves Rs. 630- See his arrival.
Number II: Simran’s current monthly salary is 500 thousand dollars. 10,000 of which 70% is spent on rent, food and clothing. If he saves Rs. 1500. What is the cost of her trip?
Rules (11-15): The following questions have two statements (I) and (II). You must determine which statement(s) are sufficient/necessary to answer the questions.
(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.
(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.
(c) Both statements taken together are necessary to answer the question, but neither statement alone is sufficient to answer the question.
(d) Either statement I or statement II alone is sufficient to answer the question.
(e) Statements I and II taken together are not sufficient to answer the question.
Q11. What is the marked price of the article?
(I) A shopkeeper marks his article at 60% above the cost price and he allows 6 ¼% discount on the marked price and the ratio of cost price to selling price of the article is 2:3.
(II) The shopkeeper earns Rs.60 from the sale of the article.
Q12. Find in how many days A alone can complete the work.
(I) B and D working together can finish a work in 20 days. A is 25% less efficient than B and A & D working together can complete the same work in 22.5 days.
(II) C can complete a work in 50 days and C’s efficiency is 120% of A’s efficiency.
Q13. Find the ratio of b to c.
(I) Sum of b & c is 8 and difference of squares of a and c is zero.
(II) 
Q14. Find the ratio of the speed of the boat in the water to the speed of the river.
(I) The ratio of the time taken by the boat to travel 40 km upstream and 40 km downstream is 5:1.
(II) The time spent by boat 80 km downstream is 8 hours less than the time spent by boat 48 km upstream.
Q15. What will be the 15th term of AP?
(I) The 6th term of AP is 8 times the first term and the sum of the first 5 terms of AP is 95.
(II) The ratio of 5th to 8th AP is 11:18.
Solutions
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