Question
Directions: In each of the questions, a sentence has
been divided into four parts, one of which may contain an error. Identify that fragment and mark it as your answer. Mark (E) if the sentence contains no error. Most children liked to rest in the (A)/ afternoon after they return (B)/ from school but my son seems (C)/ to have an inexhaustible source of energy. (D)/ No error (E)Solution
The word "liked" should be "like" to match the present tense of the sentence
If  x = a(b - c), y = b(c – a) and z = c(a - b) , find the value of (x/a)3 + (y/b)3 + (z/c)3?
If a + b + c = 12 and ab + bc + ca = 30, then find the value of a² + b² + c².
If [x + (1/x)] = 3, find [x2 + (1/x2)].

If 'x' is the lowest positive integer divisible by 8, 12 and 20, then find the second smallest positive integer which is divisible by all the three giv...
If x + y = 10 and xy = 21, find value of x³ + y³.
Solve the inequality for real x:
3 − 2x ≤ (x + 1)/2 < 5
The speed of a car is 25% more than that of a bike. Both of them start from a same point. After travelling for 4 hours, the speed of the bike is increas...
If (a2 + 1/a2) = 27, then find the value of (a3 - 1/a3).