Question: Perimeter of a triangle with integer sides is equal to 15. How many such triangles are possible? 7 6 8 5 4 Approach Solution (1): Concept: If a, b, and c are 3 integers sides of a triangle, “Difference of any 2 sides < Third side < Sum of the 2 sides&rdquo

Question: If x and y are positive integers, which of the following cannot be the greatest common divisor of 35x and 20y? 5 5(x – y) 20x 20y 35x Answer: Approach Solution (1): Greatest common divisor (GCD) of 35x and 20y obviously must be a divisor of both 35x and 20y,

Question:\( 1 + 2x + 3x^2+4x^3+...+nx^{n-1}\): What is the sum of the series? \(\frac{-1}{(1-x)^2}\) \(\frac{1}{(1-x)^2}\) \(\frac{-1}{(1+x)^2}\) \(\frac{1}{(1+x)^2}\) Answer: B Approach Solution (1): S = \( 1 + 2x + 3x^2+4x^3+...+nx^{n-1}\) Multiply by x on both the sides,

Question: Which of the following is equal to the average (arithmetic mean) of (x + 2)^2 and (x - 2)^2? x^2 x^2 + 2 x^2 + 4 x^2 + 2x x^2 + 4x Correct Answer: (C) Approach Solution 1 : The average will be [(x+2)^2 + (x-2)^2] / 2 We can solve this problem by an easy process of

Question: Is \(\sqrt{(x-3)^2}=3-x ?\) X ≠ 3 -x|x|>0 Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALO

New Delhi: Tolani Maritime Institute has begun the application process for BTech and BSc degree for the academic session 2023-24. Aspiring candidates can submit the online application form through the official portal, @https://tmi.tolani.edu/.  Tolani Maritime Institute offers BTech in

New Delhi: The Institute of Chartered Accountants of India (ICAI) has announced that the results for Chartered Accountants (CA) final and intermediate November 2022 examinations will be declared on January 10, 2023.  Candidates who appeared for the ICAI CA 2023 exam will be able to che

Question: \(\frac{x^2+2x-8}{x^2-6x+8} = ?\) 1 -1 \(\frac{1}{3}x\) \(\frac{x+4}{x-4}\) \(\frac{x+8}{x-8}\) Correct Answer: (D) Approach Solution 1 : Let us solve the equation by simplifying and evaluating. => [(x^2) + 2x - 8)] / [(x^2) - 6x + 8)] = [(x - 2)(x + 4)] /

New Delhi: Acharya Nagarjuna University Centre for Distance Education (ANUCDE) has begun online applications for admission under Open and Distance Learning (Distance) mode for the academic session 2023 (Beginning January – February 2023). Aspiring candidates can submit the online application f

Author : Vishal Gowda Vishal Gowda is a current student at IIM Ahmedabad. He is a serial CAT topper and an alumni of RVCE Bangalore. Vishal worked at Intel and GE Healthcare before joining IIM A. He is currently a member of the Quant and Analytics club of IIM Ahmedabad and is very passionate ab

Question: A trader has 400 kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss? (a) 80kg (b) 100kg (c) 175kg (d) 320 kg (e) 400 kg Correct Answer: (D) Approach Solution 1 : Using the cost price

New Delhi: The Uttarakhand Board of Secondary Education (UBSE) has released the date sheets for Class 10 and Class 12 board exams 2023, on its official website @ubse.uk.gov.in. Candidates can download the UK board exam 2023 date sheets by visiting the official website of the Board a