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For calculation of interest compounded half yearly, keeping the principal same, which of the following statements is true?

ADouble the given annual rate and half the given number of years.
BDouble the given annual rate as well as the given number of years.
CHalf the given annual rate and double the given number of years.
DHalf the given annual rate as well as the given number of years.

A circular piece of paper of radius 20 cm is trimmed into the shape of the biggest possible square. Find the area of the paper cut off.


A
B800 cm²
C
D

The algebraic sum of the deviations of a frequency distribution from its mean is _____.

A Always positive
B Always negative
C 0
D A non-zero number

In the given figure O and O₂ are the centre of the bigger circle of radius 3 cm and the smaller circle of radius 1.5 cm respectively and O₁ is the centre of the semi-circle of radius 1 cm, all lying on diameter AB. Find the area of shaded region.


A92/7 cm²
B88/7 cm²
C89/21 cm²
D18/7 cm²

If 8 containers are needed to fill the drum of capacity 5 L, then how many such containers are needed to fill the drum of capacity 8 L 750 mL?

A20
B14
C15
D18

Which of the following statements is INCORRECT ?
(i) In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.
(ii) A pair of tangents can be constructed to a circle inclined at an angle of 165°.

AOnly (i)
BOnly (ii)
CBoth (i) and (ii)
DNeither (i) nor (ii)

What is the total weight of the teddy bear and the car?


A30 kg
B375 kg
C708 kg
D400 kg

The sum of the digits of the number obtained from the product of 999 and 555 is same as _______.

A5^th multiple of 5
B3^rd multiple of 9
C6^th multiple of 5
D7^th multiple of 9

In the given figure (not drawn to scale), PQRS is a rhombus, RST and PSV are isosceles triangles, STUV is a square and QRT is a straight line. Find ∠PSR + ∠SPV.


A72°
B54°
C108°
D36°

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of Fig. (X) would complete the pattern.


A
B
C
D