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A triangle has sides with lengths 13 cm, 14 cm and 15 cm. A circle whose centre lies on the longest side touches the other two sides. The radius of the circle is (in cm) ______


A43/9
B49/9
C56/9
D63/15

Which of the following solids would be formed by the given net?


A Triangular Pyramid
B Square Pyramid
C Hexagonal Pyramid
D Rectangular Pyramid

If 5^{(x - y)} = 125 and 343 = y³, then the value of x is ______.

A3
B10
C7
D5

The given line graph shows the number of questions solved by Mohit in the given consecutive five weeks. Study the given graph carefully and answer the following question.

How many less questions were solved by Mohit in the 3^rd week than in the 1^st and 4^th week together?

A40
B50
C35
D45

The given figure shows two spoons. What is the difference in length of both the spoons?


A1.5 cm
B0.5 cm
C2.5 cm
D2 cm

On which of the following number lines, marked point represents the additive inverse of

A
B
C
D

Study the given numbers carefully and select the correct option.

(i) Both P and R are divisible by 4.
(ii) Q is not divisible by 9.

AOnly (i) is true
BBoth (i) and (ii) are true
COnly (ii) is true
DNeither (i) nor (ii) is true

A Fitness Club advices every person to drink L of water in the morning, L of water in the afternoon and L of water before going to bed. How much water should a person drink during the day according to the Fitness Club?

A6 L
B
C
D

Study the statements carefully and select the correct option.
Statement-1 : The distance between two points (x₁, y₁) and (x₂, y₂) is .
Statement-2 : The point(s) on the x-axis which has its distances from the points (7, 6) and (-3, 4) in the ratio 1 : 2 is or (-9, 0)

A Both the statements are true.
B Statement-1 is true but statement-2 is false.
C Statement-1 is false but statement-2 is true.
D Both the statements are false.

Identify the 3-digit number.


A458
B568
C579
D719