Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has real roots?

If 177 is divided into 3 parts in the ratio 1/2 : 2/3: 4/5, then the second part is

There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing spectacles are boys. How many girls in the school wear spectacles?

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

Find out the odd word/letters/number/number pair from the given alternatives.

If 1aa2+1 = 3, then the value of a6+1a3 is

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?