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AIR Spotlight – Development Works in Aspirational Districts

AIR Spotlight is an insightful program featured daily on the All India Radio Newsonair. In this program, many eminent panellists discuss issues... View Article

05 Oct 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 5th Oct 2021. Important news and views to boost... View Article

IAS Topper 2020 [AIR 35] – Aparna Ramesh

Aparna Ramesh, a daughter of a civil servant, and an architect & urban planner by profession, topped the UPSC CSE Exam 2020 in her second... View Article

IAS Topper 2020 [AIR 51] – Nisha Grewal

Nisha Grewal is from Bhiwani’s Bamla village in Haryana. She cleared UPSC-CSE 2020 and secured AIR 51 in her 1st attempt. Nisha Grewal’s family... View Article

The next two numbers in the number pattern 1, 4, 9, 16, 25 … are (a)35, 48 (b) 36, 49 (c) 36, 48 (d) 35,49

The correct answer is (b) 36, 49 Explanation The numbers given in the question are perfect square numbers. 12 = 1 22 = 4... View Article

The hypotenuse of a right triangle with its legs of lengths 3x × 4x is (a) 5x (b) 7x (c) 16x (d) 25x

The correct answer is (a) 5x Explanation From the concpet of Pythagoras theorem, we know that = a = √(b2 + c2) Where... View Article

Which of the following numbers is a perfect cube? (a) 243 (b) 216 (c) 392 (d) 8640

The correct answer is (b) 216 Explanation A perfect cube can always be expressed as the product of triplets of prime factors. 216 = 6 × 6... View Article

The sum of first n odd natural numbers is (a) 2n + 1 (b) n² (c) n² – 1 (d) n² + 1

The correct answer is (b) n2 Explanation The sum of first n odd natural numbers are given by 1,3,5,7,9…… (2n – 1)... View Article

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is (a) 81 (b) 64 (c) 49 (d) 36

The correct answer is (b) 64 Explanation = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64... View Article

If one member of a Pythagorean triplet is 2m, then the other two members are (a) m, m² + 1 (b) m² + 1, m² – 1 (c) m², m² – 1 (d) m², m + 1

The correct answer is (b) m2 + 1, m2 – 1 Explanation We know that general form of Pythagorean triplet is (2m, m²-1,... View Article

Which letter best represents the location of √25 on a number line? (a) A (b) B (c) C (d) D

The correct answer is (c) C Explanation √25 = 5 × 5 = 52 = 25... View Article

A square board has an area of 144 square units. How long is each side of the board? (a) 11 units (b) 12 units (c) 13 units (d) 14 units

The correct answer is (b) 12 units Explanation We know that area of square = Side × Side side2= 144 side=√144 = 12 units... View Article

Archives

AIR Spotlight – Development Works in Aspirational Districts

05 Oct 2021: The Hindu Analysis

IAS Topper 2020 [AIR 35] – Aparna Ramesh

IAS Topper 2020 [AIR 51] – Nisha Grewal

The next two numbers in the number pattern 1, 4, 9, 16, 25 … are (a)35, 48 (b) 36, 49 (c) 36, 48 (d) 35,49

The hypotenuse of a right triangle with its legs of lengths 3x × 4x is (a) 5x (b) 7x (c) 16x (d) 25x

Which of the following numbers is a perfect cube? (a) 243 (b) 216 (c) 392 (d) 8640

The sum of first n odd natural numbers is (a) 2n + 1 (b) n² (c) n² – 1 (d) n² + 1

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is (a) 81 (b) 64 (c) 49 (d) 36

If one member of a Pythagorean triplet is 2m, then the other two members are (a) m, m² + 1 (b) m² + 1, m² – 1 (c) m², m² – 1 (d) m², m + 1

Which letter best represents the location of √25 on a number line? (a) A (b) B (c) C (d) D

A square board has an area of 144 square units. How long is each side of the board? (a) 11 units (b) 12 units (c) 13 units (d) 14 units

The one’s digit of the cube of 23 is (a) 6 (b) 7 (c) 3 (d) 9

Which of the following cannot be a perfect square? (a) 841 (b) 529 (c) 198 (d) All of the above

How many natural numbers lie between 5² and 6²? (a) 9 (b) 10 (c) 11 (d) 12

Which of the following will have 4 at the units place? (a) 14² (b) 62² (c) 27² (d) 35²

A number ending in 9 will have the units place of its square as (a) 3 (b) 9 (c) 1 (d) 6

Which of the following is a square of an even number? (a) 144 (b) 169 (c) 441 (d) 625

196 is the square of (a) 11 (b) 12 (c) 14 (d) 16

2. What shape is (a) Your instrument box? (b) A brick? (c) A match box? (d) A road-roller? (e) A sweet laddu?

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