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Which of the following statement(s) is/are correct?

AA parallelogram in which two adjacent angles are equal is a rectangle.
BA quadrilateral in which both pairs of opposite angles are equal is a parallelogram.
CIn a parallelogram, the maximum number of acute angles can be two.
DAll of these

In a tally marks, a group of eleven marks is represented as _____.

A
B
C
D

Find the length of the pencil.


A9 cm
B6 cm
C3 cm
D12 cm

The given figure (not drawn to scale) consists of a semicircle and a rectangle. The diameter of the semicircle is 14 cm. The area of the shaded part is 40 cm². What is the area of the whole figure?


A172 cm²
B149 cm²
C190 cm²
DNone of these

Which of the following statements is incorrect?
P : The difference between maximum and minimum value of the observation in a data is called range.
Q : The number of times a particular entry occurs in a set of data is called its frequency.

AOnly P
BOnly Q
CBoth P and Q
DNeither P nor Q

If 42 : 165 :: m : 330, then find the value of

A2
B⁵⁄₆
C³⁄₄
DNone of these

Which of the following options is INCORRECT?

A25 minutes = 1500 seconds
B144 hours = 6 days
C3900 minutes = 65 hours
DNone of these

The length and breadth of a rectangular flower bed are 24 m and 5 m respectively. How many squares can be cut from it if each square has side of 2 m?

A30
B20
C35
DNone of these

Solve the following :
(i) Somesh wants to fence a rectangular field of length 150 m and breadth 80 m with four rounds of rope. What is the total length of rope he need?
(ii) A square of area 100 cm² has the same perimeter as of a regular pentagon. What is the length of the side of the regular pentagon?

A(i) -460 m, (ii) -8 cm
B(i) -920 m, (ii) 6 cm
C(i) -1840 m, (ii) 8 cm
D(i) -1260 m, (ii) 6 cm

The value of is _________.

A40/31
B4/9
C1/8
D31/40