In which of the following over numbers, the team MUST have scored the least number of runs?

From the passage: A store offers a choice of five different discount coupons to its cust...

Four customers used four different discount coupons for their respective transactions in such a way that they obtained a total discount of Rs. 710. Which coupon was definitely NOT used?

From the passage: The upper hinge of a dataset is the median of all the values to the ri...

While rechecking her original notes to re-enter the smudged values of A and B in the records, the student found that one of the eleven recorded work experience values that did not get smudged was recorded wrongly as half of its correct value. After re-entering the values of A and…

A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels. How many rare jewels does the king have?

Consider a right-angled triangle ABC, right angled at B. Two circles, each of radius r, are drawn inside the triangle in such a way that one of them touches AB and BC, while the other one touches AC and BC. The two circles also touch each other (see the image below). If AB = 18 c…

Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b. Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4-digit number is divisible by a?

Consider the system of two linear equations as follows: 3x + 21y + p = 0; and qx + ry – 7 = 0, where p, q, and r are real numbers. Which of the following statements DEFINITELY CONTRADICTS the fact that the lines represented by the two equations are coinciding?

A local restaurant has 16 vegetarian items and 9 non-vegetarian items in their menu. Some items contain gluten, while the rest are gluten-free. One evening, Rohit and his friends went to the restaurant. They planned to choose two different vegetarian items and three different non…

The roots of the polynomial P(x) = 2x³ − 11x² + 17x + 6 are the radii of three concentric circles. The ratio of their area, when arranged from the largest to the smallest, is: