Bissoy.com
Doctors Medicines MCQs Q&A

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: A and B are competing in a game called, "Get a six". The first one who gets a six on throwing a dice wins. If A starts, what is the probability of B's winning. Quantity 2: When 1 is added to the numerator of a fraction, the fraction becomes 150% of the previous number. If three is added to denominator, the number becomes 1/4. Find the number. Quantity 3: Increase in average weight of group. Average of 12 people is 12.6 kg, 2 people are added to the group. Average weight of new people is 15.3 kg.

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: A and B are competing in a game called, "Get a six". The first one who gets a six on throwing a dice wins. If A starts, what is the probability of B's winning. Quantity 2: When 1 is added to the numerator of a fraction, the fraction becomes 150% of the previous number. If three is added to denominator, the number becomes 1/4. Find the number. Quantity 3: Increase in average weight of group. Average of 12 people is 12.6 kg, 2 people are added to the group. Average weight of new people is 15.3 kg. Correct Answer Quantity 1 > Quantity 2 > Quantity 3

Quantity 1:

Probability of getting a six = 1/6

Probability of not getting a six = 5/6

For B to win, A must not get a six and B must.

Probability = (5/6) × (1/6) + (5/6) × (5/6) × (5/6) × (1/6) + (5/6) × (5/6) × (5/6) × (5/6) × (5/6) × (1/6) + .......

This becomes a Geometric progression of infinite terms.

a = 5/6 × 1/6 = 5/36

r = 5/6 × 5/6 = 25/36 = 0.69

Sum of infinite terms = a/(1 - r) = (5/36)/(1 - 25/36) = 5/11

Quantity 2:

let the fraction be p/q.

Now, according to condition,

(p + 1)/q = 150% of p/q

On solving, p = 2

Now, 2/(q + 3) = 1/4

q + 3 = 8

q = 5

Fraction is p/q = 2/5 = 0.4

Quantity 3:

Excess weight than the average = (15.3 - 12.6) × 2 = 5.4 kg

Now, this excess weight will be divided in 14 people of the new group.

Increase in weight of every member = 5.4/14 = 0.39 kg.

Hence, Quantity 1 > Quantity 2 > Quantity 3

Related Questions

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture.
Given below are three quantities named A, B and C. Based on the given information, you have to determine the relationships between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among the three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity A: The average of a batsman after 75 innings was 83 runs per innings. If after the 76th inning his average drops by 1 run, then what was his score in the 76th inning? Quantity B: The average marks of a group of 20 students on a test are reduced by 4 when the topper who scored 87 marks is replaced by a new student. How many marks did the new student have? Quantity C: The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife, and a child who was born during the interval, is 20 years now. How old is the child now?
If 1 is added to the both the numerator and the denominator of a fraction, it becomes $$\frac{1}{4}$$ . If 2 is added to both the numerator and the denominator of that fraction it becomes $$\frac{1}{3}$$ . The sum of the numerator and the denominator and the denominator of the fraction is -
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns 20% profit by selling an item at Rs. P. If he increases the selling price by Rs. 90, he can make a profit of 35%. Find the value of P. Quantity 2: A shopkeeper earns x% profit even after allowing a discount of Rs. 126. Find the cost price of the article if the (x + 15)% profit is earned if no discount is offered. Quantity 3: When an article is sold for Rs. 984, the profit percentage is 4 times as much as when it is sold for Rs. 861. Find the cost price of the article. 
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Find the probability. Quantity A: In a class room there are 30 boys and 40 girls, find the probability of selecting 2 boys from the class. Quantity B: A six face dice is thrown what is the probability of an even number.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Find the age of the Ram. Quantity A: Average age of 50 members is 40 but when Ram joins the group the average of group increase by 2. Quantity B: Average age of 40 members is 30 but when Ram joins the group the average of group increase by 5.
Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: There are 4 red, 3 black and 6 blue balls in a bag. Three balls are drawn at random. What is the probability that all the balls are of different colours? Quantity B: Two dice are thrown simultaneously. What is the probability that the sum of the numbers appeared in both the dice is odd?
Given below are three quantities named 1, 2 and 3. Based on the information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. <  B. = C. > D. ≤ E. ≥ Quantity 1: The average age of 36 students is 14 years. When the teacher’s age is included the average increases by 1 year. What is the age of the teacher? Quantity 2: The average salary of the entire staff in an office is Rs. 120 per month. The average salary of officers is Rs.460 and that of non- officers are Rs.110. if the number of officers is 15, then find the number of non-officers in the office. Quantity 3: 25
If 2 is added to the numerator and 3 is subtracted from the denominator of a fraction, the fraction becomes 3 / 2. If 1 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1 / 4. What is the sum of numerator and denominator of that fraction?