Q) Mrs. Gupta arranged some snacks for her child’s birthday party. After the guest left she had some food left over. She did not want to waste food and so she contacted a local NGO. She gave 60 pieces of pastries,168 pieces of cookies, and 330 chocolate bars to the team. Now the NGO workers want […]
Mrs. Gupta arranged some snacks for her child’s birthday party. Read More »
Q) A number consists of two digits. Where the number is divided by the sum of its digits, the quotient is 7. If 27 is subtracted from the number, the digits interchange their places, find the number Ans: Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X
A number consists of two digits. Where the number is divided by the sum of its digits, Read More »
Q) Solve for x and y: = -1; = 3 Ans: Let’s take the equations one by one: = -1 3X + 4 Y = – 6 ………. (i) Similarly, = 3 We can write this as: = 3 3X – Y = 9 ….. (ii) By solving equations (i) and (ii), we get: X =
Solve for x and y : x / 2 + 2y / 3 = − 1; x − y / 3 = 3 Read More »
Q) Prove that 3√2 is an irrational number. Ans: Let us assume that 3√2 is a rational number Then we can represent 3√2 as ; where q ≠ 0 and let p, q are co-primes. 3√2 = ………………. (i) or it can be rearranged as √2 = Since, 3, a and b are integers, is
Prove that 3 root 2 is an irrational number. Read More »
Q) Find the greatest 3-digit number which is divisible by 18, 24 and 36. Ans: Here, this question is slightly tricky one. We need to first find lowest number and then find its largest multiple with 3 digits. Hence, we need to find LCM, not HCF. Let’s start with LCM of 18, 24, 36. By
Find the greatest 3-digit number which is divisible by 18, 24 and 36. Read More »
Q) A 2-digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number. Ans: Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X + Y Also given that Number
Q) Solve :- = 2; = – 1, x, y > o Ans: Let’s consider, = A and = B therefore the given equations will be: Equation = 2 will become: 2 A + 3 B = 2 ………. (i) Similarly, = – 1 will become: 4 A – 9 B = -1
Solve 2 by root x + 3 by root y = 2 ; 4 by root x – 9 by root y = -1, x, y > o Read More »
Q) The sum of a two digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there? Ans: Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X
The sum of a two digit number and the number obtained by reversing the digits is 66. Read More »
Q) National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested
National Art convention got registrations from students from all parts of the country Read More »
Q) Prove that √2 is an irrational number. Ans: Let us assume that √2 is a rational number Let √2 = ; where q ≠ 0 and let p, q are co-primes. 2q2 = p2………………. (i) It means p2 is divisible by 2 p is divisible by 2 Hence, we can write that p = 2a,
Prove that root 2 is an irrational number. Read More »