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Q) Prove that 4 – 2 √5 is an irrational number given that √5 is irrational. (Q 23 – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s start by considering (4 – 2 √5) is a rational number (by the method of contradiction) Step 1: ∵ (4 – 2 √5) is a rational number ∴ […]
23. Prove that 4 – 2 √5 is an irrational number given that √5 is irrational. Read More »
Q) The dimensions of a window are 156 cm x 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed. (Q 27 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s understand
Q) Prove that 2 + 3√5 is an irrational number given that √5 is an irrational number. (Q 21 A – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start by considering (2 + 3√5) is a rational number (by the method of contradiction) If (2 + 3√5) is a rational number, then it
Q) If the HCF of 210 and 55 is expressed as 210 × 5 + 55m, then find the value of m. (Q 21 B – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: By prime factorisation: 210 = 2 x 3 x 5 x 7 55 = 5 x 11 ∴ HCF of
Q) A trader has three different types of oils of volume 870 L, 812 L and 638 L. Find the least number of containers of equal size required to store all the oil without getting mixed. (Q 26 – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s examine & understand the question calmly:
Q) Find the length of the plank that can be used to measure the lengths 4 m 20 cm and 5 m 4 cm exactly, in the least time. (Q 24- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s convert the lengths of given planks in single unit: ∵ Length of 1st plank
Q) The sum of the squares of three consecutive even numbers is 596. Find the numbers. ICSE Specimen Question Paper – 2026 Ans: Step 1: Let’s start by considering middle number as XHence, preceding even number will be (X – 2) and succeeding even number will be (X + 2). Step 2: By the given
The sum of the squares of three consecutive even numbers is 596. Find the numbers. Read More »
Q) In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject. Q27 – Sample Question Paper – Set
Q) A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number. PYQ: 32 (a) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Let’s consider the 2-digits of the number are a and
Q)Â State true or false for each of the following statements and justify in each case: (i) 2 x 3 x 5 x 7 + 7 is a composite number. (ii) 2 x 3 x 5 x 7 + 1 is a composite number. PYQ: Q 26(b) – CBSE 2025 – Code 30 – Series 5