125 is multiplied by either 10 or 15. The resultant number is again multiplied by either 10 or 15. This process continues. Which of the following CANNOT be a resultant number at any point in time?

The swimming pool in an exclusive club is a circular strip. A water flow is artificially maintained in the strip, along a clockwise direction, at a constant speed of 3km/h (kilometers/hour). One morning, Ayub and Rana start swimming at the same time from two diametrically opposit…

Three categories of candidates appear for an admission test: diligent (10%), lazy (30%) and confused (60%). A diligent candidate is 10 times more likely to clear the admission test compared to a lazy candidate. If 40% of the candidates clearing the admission test are confused, wh…

Consider a seven-digit number 735x6y4, divisible by 44, where the two digits x and y are unknown. Consider the following two additional pieces of information: I. x and y are even numbers II. x and y are equal To determine the values of x and y UNIQUELY, which of the above pieces…

In a multiple-choice examination, there are 20 questions. Each correct answer is worth 4 marks, while 2 marks are to be deducted for every wrong answer. Further, 1 mark is to be deducted for every unattempted question. One student receives a total of 46 marks in the examination.…

From the passage: Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per sq...

If the width of the Aditya's plot is 25 meters, what is the MINIMUM possible length of Binod's plot?

Let f : R² → R be a real-valued function defined as f(0, y) = y + 1 and f(x + 1, y) = f(x, f(x, y)) + x. What is the value of f(2, 2)?

Let a₁ < a₂ < .... < aₙ be the list of all prime numbers less than 25. Define Xᵢ = bᵢ/aᵢ, where bᵢ is the sum of all aₖ where k ranges from 1 to n, k ≠ i. Let B be the set of all integer-valued Xᵢ. What is the Smallest element of B?

Consider two circles, each having radius of 5cm (centimeters), touching each other at a point P. A direct tangent QR is drawn touching one circle at a point Q and the other circle at a point R. Inside the region PQR inscribed by the two circles and the tangent, a square ABCD is i…