PYQs Based Test - 13 : General Aptitude

The roots of $a{x}^2+bx+c=0$ are real and positive. $a,bandc$ are real. Then $a{x}^2+b\left|x\right|+c=0$ has

An engineer measures THREE quantities X, Y and Z in an experiment. She finds that they follow a relationship that is represented in the figure below: (the product of X and Y linearly varies with Z)



Then, which of the following statements is FALSE?

In the given figure angle Q is a right angle, PS:QS = 3:1, RT:QT = 5:2 and PU:UR = 1:1. If area of triangle QTS is 20 cm², then the area of triangle PQR in cm² is ______.

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3 ∶ 4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost

(profit % = $\frac{Sellingprice-Cost}{Cost}$ × 100).

The discount on item Q, as a percentage of its marked price, is ______

X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?