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Arrange the shaded fractions of the following figures in ascending order.



As, q, r, p
Bp, r, s, q
Cs, p, q, r
Dp, r, q, s

State 'T' for true and 'F' for fals.
I. An altitude of a triangle is five-third the length of its corresponding base. If the altitude be increased by 4 cm and the base be decreased by 2 cm, the area of the triangle would remain the same. The base and the altitude of the triangle respectively is 12 cm and 20 cm.
II. The perimeter of a rectangle is 140 cm. If the length of the rectangle is increased by 2 cm and its breadth decreased by 2 cm, the area of the rectangle is increased by 66 sq. cm. The length and breadth of the rectangle respectively is 35 cm and 30 cm.
III. The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other number, then one of the numbers will be 1411.

If ‘a’ and ‘b’ are rational numbers and , then (a + b)² = _______.

A121
B171
C116
D198

Study the given statements carefully.

= (a + b) (b + c) (c + a)
Statement-II : a² + b² + c² – ab – bc – ca
= [(a-b²) + (b-c)² + (c-a)²]
Which of the following options holds?

ABoth Statement-I and Statement-II are true.
BStatement-I is true but Statement-II is false.
CStatement-I is false but Statement-II is true.
DBoth Statement-I and Statement-II are false.

Two clocks P and Q are shown here. Clock-P is 20 minutes slow and Clock-Q is 30 minutes fast. Which of the following options is CORRECT?


AAccording to Clock-P, the actual time is 2:40.
BAccording to Clock-Q, the actual time after 10 minutes will be 3:20.
CBoth A and B
DNeither A nor B

What fraction of the given butterflies is NOT red?


A
B
C
D

(4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) is divisible by

A3
B11
C17
DNone of these

Match the following:


AP→ (ii); Q→ (iii); R→ (i); S→ (iv)
BP→ (iii); Q→ (iv); R→ (ii); S→ (i)
CP→ (iii); Q→ (i); R→ (iv); S→ (ii)
DP→ (ii); Q→ (iv); R→ (iii); S→ (i)

Which of the following statements is INCORRECT?


AObject P and object Q are of equal weight.
BObject S is lighter than object R.
CObject X is heavier than object Y.
DObject R is lighter than object S.

The given figure is made up of an equilateral triangle and a square. If the perimeter of the given figure is 40 cm, then find CD.


A5 cm
B8 cm
C6 cm
DNone of these