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In the given figure, VSRQ is a square and PUTV is a rectangle. The area of the square VSRQ is 400 cm2 and the perimeter of the complete figure is 150 cm. Find the length of PQ.


A24 cm
B41 cm
C55 cm
D30 cm

ABCD is a square. 5 out of 6 identical rectangles in the smaller square have been shaded. How many more similar rectangles must be shaded so that 3/8 of square ABCD is shaded ?


A3
B4
C9
D24

Match the Column I with Column II and select the correct option.


A(P) → (i); (Q) → (iii); (R) → (iv); (S) → (ii)
B(P) → (iii); (Q) → (iv); (R) → (ii); (S) → (i)
C(P) → (i); (Q) → (ii); (R) → (iii); (S) → (iv)
D(P) → (iv); (Q) → (iii); (R) → (i); (S) → (ii)

The figure below is made up of 12 equilateral triangles. If the length of PQ is 96 cm, find the total perimeter of the figure.


A192 cm
B384 cm
C288 cm
D576 cm

Evaluate :
– 1 + 55 – (– 29) + (– 1) – (– 82) + (– 3)

A161
B– 161
C158
D– 158

Factorize : a²x² + (ax² + 1) x + a.

A (x + a) (ax + 1)
B (x + a)(ax² + 1)
C (ax + 1)(x – a)
D (a + 1)(x + a)

Find the additive inverse of the number obtained by subtracting –9 from the additive inverse of –23.

A32
B–14
C–32
D14

Which of the following statements is CORRECT?

AA square has only 2 equal sides.
BA rectangle has 2 pairs of equal sides.
CA square has 2 lines of symmetry.
DA rectangle has 4 lines of symmetry.

If Arjun is facing the India Gate, then what will he be facing if he turns 135° anticlockwise and then 180° clockwise?


ABus Stop
BTemple
CMarket
DBridge

The cost of a book is ₹ 248. The cost of a bag is same as that of the cost of two books. Find the total cost of two such bags and three such books.

A₹ 1736
B₹ 1850
C₹ 1240
DNone of these