UKPSC 2016 Paper VII

Of the total of 350 students of a school, 3/7 are girls, and 2/5 of the girls play cricket. How many girls do not play cricket?

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Points to Remember: This is a mathematical word problem requiring a step-by-step solution. The problem involves fractions and calculating a portion of a whole. The final answer will be a whole number representing the number of girls who do not play cricket. Introduction: This question is a mathematical word problem involving fractions. It tests the … Read more Of the total of 350 students of a school, 3/7 are girls, and 2/5 of the girls play cricket. How many girls do not play cricket?

Three coins are tossed. What is the probability of getting neither 3 heads nor 3 tails?

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Points to Remember: Basic probability principles: The probability of an event is the ratio of favorable outcomes to the total number of possible outcomes. Sample space: The set of all possible outcomes of an experiment. Complementary events: Events that together encompass the entire sample space. Introduction: This question pertains to probability, a branch of mathematics … Read more Three coins are tossed. What is the probability of getting neither 3 heads nor 3 tails?

If A is the solution set of 9x + 2 > 7x – 2, where x is a natural number, then find A.

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Points to Remember: Solving linear inequalities. Understanding natural numbers. Expressing the solution set. Introduction: This question requires solving a linear inequality to find the solution set A, where x represents natural numbers (positive integers). A linear inequality is an inequality that involves a linear expression (a variable raised to the power of 1). Solving it … Read more If A is the solution set of 9x + 2 > 7x – 2, where x is a natural number, then find A.

If the coordinates of the centroid of a triangle are (3, 2) and coordinates of the two vertices are (1, 1) and (2, 5), then find the coordinates of the third vertex.

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Points to Remember: Centroid coordinates are the average of the x-coordinates and y-coordinates of the vertices. The formula for the centroid (G) of a triangle with vertices A(x₁, y₁), B(x₂, y₂), and C(x₃, y₃) is: G = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3) Introduction: This question requires a factual and analytical … Read more If the coordinates of the centroid of a triangle are (3, 2) and coordinates of the two vertices are (1, 1) and (2, 5), then find the coordinates of the third vertex.

Anita thinks of a number and subtracts 5/2 from it. She multiplies this result by 8. The resulting number so obtained is 3 times the original thought number. What is the number she thought of?

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Points to Remember: The problem involves a series of arithmetic operations on an unknown number. We need to translate the word problem into an algebraic equation. Solving the equation will reveal the original number Anita thought of. Introduction: This question is a classic example of a word problem in algebra. It tests the ability to … Read more Anita thinks of a number and subtracts 5/2 from it. She multiplies this result by 8. The resulting number so obtained is 3 times the original thought number. What is the number she thought of?

If FINANCE = 39, MARKETING = 52, then PRODUCTION = ?

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Points to Remember: This is a pattern recognition problem involving letter values. We need to identify the numerical pattern connecting the letters in “FINANCE,” “MARKETING,” and infer the value for “PRODUCTION.” The approach is analytical, requiring us to decipher the underlying code. Introduction: This question presents a numerical puzzle where each word is assigned a … Read more If FINANCE = 39, MARKETING = 52, then PRODUCTION = ?

The number 0.01 is what percent of number 0.1?

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Points to Remember: Percentage calculation involves finding a fraction of a whole and expressing it as a part of 100. The formula for calculating percentage is: (Part/Whole) * 100. Introduction: This question requires a factual approach to determine the percentage one decimal number represents of another. Percentage calculations are fundamental in various fields, from finance … Read more The number 0.01 is what percent of number 0.1?