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Q) If three times the greater of two numbers is divided by the smaller one, we get 4 as the quotient and 3 as the remainder. Also, if seven times the smaller number is divided by greater one, we get 5 as the quotient and 1 as the remainder. Find the numbers. Ans: STEP BY […]
pair of linear equations
Q) Three consecutive integers are such that sum of the square of second and product of other two is 161. Find the three integers. Ans: STEP BY STEP SOLUTION Let’s consider the three consecutive integers as (X – 1), X and (X + 1) By given condition, X 2 + (X – 1) (X +
Q) If the length of a rectangle is reduced by 5 cm and its breadth is increased by 2 cm, then the area of the rectangle is reduced by 80 cm². However, if we increase the length by 10 cm and decrease the breadth by 5 cm, its area is increased by 50 cm². Find
If the length of a rectangle is reduced by 5 cm and its breadth is increased by 2 cm, Read More »
Q) Can the number (15n), n being a natural number, end with the digit 0 ? Ans:Â For any number to end with the digit 0, it will be divisible by 10 Since 10 = 2 x 5, therefore, a number ending with digit 0 will be divisible by 2 and 5 both. Next, since
Can the number (15n), n being a natural number, end with the digit 0? Give reasons. Read More »
Q) Check whether 6n can end with the digit 0 for any natural number n. Ans: For any number to end with the digit 0, it will be divisible by 10 Since 10 = 2 x 5, therefore, a number ending with digit 0 will be divisible by 2 and 5 both. Next, since factors of
Check whether 6n can end with the digit 0 for any natural number n . Read More »
Q) The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the present age of the father. Ans: Let’s consider Father’ age be X and children’s age be Y and Z
Q) In a 2-digit number, the digit at the unit’s place is 5 less than the digit at the ten’s place. The product of the digits is 36. Find the number. Ans: Let’s consider X is the digit at unit’s place and Y is the digit at ten’s place. The number will be 10 Y +
In a 2-digit number, the digit at the unit’s place is 5 less than the digit Read More »
Q) Tara scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each wrong answer, then Tara would have scored 50 marks. Assuming that Tara attempted all questions, find
Tara scored 40 marks in a test, getting 3 marks for each right answer and losing Read More »
Q) The sum of the digits of a 2-digit number is 14. The number obtained by interchanging its digits exceeds the given number by 18. Find the number. Ans: Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X + Y ∴ the sum of the digits
Q) Solve the following system of linear equations : 2 x + 5 y = – 4 and 4 x – 3 y = 5 Ans: Given equations are: 2 x + 5 y = – 4Â …………………… (i) 4 x – 3 y = 5 …………………..(ii) To get the value of variables, we need to
Solve the following system of linear equations : 2 x + 5 y = – 4 and 4 x – 3 y = 5 Read More »