26. In which of the following groups, all figures are quadrilaterals?
(A) octagon, rhombus, rectangle and triangle
(B) rhombus, parallelogram, trapezium and rectangle
(C) triangle, hexagon, pentagon and rectangle
(D) triangle, square, rectangle and rhombus
Answer:
(B) rhombus, parallelogram, trapezium and rectangle
Explanation:
A quadrilateral is strictly defined as a polygon with four edges and four vertices. Rhombus, parallelogram, trapezium, and rectangle are all four-sided geometric figures.
27. The word cent means ____
(A) decimal
(B) fraction
(C) [Missing in source, likely ‘hundred’]
(D) percent
Answer:
(C) [Missing in source, likely ‘hundred’]
Explanation:
The word “cent” derives from the Latin root “centum,” which literally translates to one hundred. This forms the basis for words like century, centimeter, and percent. The official key marks option C.
28. Which of the following measure cannot be of a triangle?
(A) 10 cm, 10 cm, 20 cm
(B) 3 cm, 6 cm, 7 cm
(C) 5 cm, 12 cm, 14 cm
(D) 7 cm, 7 cm, 13 cm
Answer:
(A) 10 cm, 10 cm, 20 cm
Explanation:
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be strictly greater than the length of the third side. Here, is exactly equal to 20, not greater, making it impossible to form a closed triangle.
29. What is the number whose 30% is 90?
(A) 100
(B) 150
(C) 300
(D) 450
Answer:
(C) 300
Explanation:
If 30% of a number is 90, the equation is
Solving for gives 300 .
30. 89.9 x (100.1 x 0 x 1/3) = ………….. .
(A) 0
(B) 89.900
(C) 89.910
(D) 899.100
Answer:
(A) 0
Explanation:
The Zero Property of Multiplication states that the product of any number and zero is zero. Because one of the factors inside the parentheses is 0, the entire expression evaluates to 0.