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If (–2, 1), (a, 0), (4, b) and (1, 2) are the vertices of a parallelogram, then
(i) Find a
(ii) Find b
(iii) Area of the parallelogram.

Karuna buys 2 boxes of chocolates and 3 baskets of fruits. How much total weight did she buy?


A21 kg
B27 kg
C31 kg
D30 kg

Kunal purchased a notebook for ₹ 19.75, a pencil for ₹ 3.85 and a pen for ₹ 8.35 from a bookshop. He gave a 50-rupee note to the shopkeeper. What amount did he get back?

A₹ 20.50
B₹ 18.12
C₹ 17.50
D₹ 18.05

Which of the following is correct statements?
(i) 3(sinθ – cosθ)⁴+ 6(sinθ + cosθ)² + 4(sin⁶θ + cos⁶θ) is independent of θ.
(ii) If cosecθ – sinθ = a³, secθ – cosθ = b³, then a²b²(a² + b²) = 2

A Only (i)
B Only (ii)
C Both (i) and (ii)
D Neither (i) nor (ii)

The graph of sale of shoes in a showroom during first five months of the year is shown below.


Fill in the blanks according to the information given in the graph.
In month of __P__ and __Q__ respectively, the maximum and minimum number of shoes were sold.__R__ shoes were sold in May. The difference between the number of shoes sold in March and April is __S__.

---------P------------Q-------R-----S
AJanuary-----May---160---180
BJanuary-----May---120---60
CFebruary---April---120---240
DFebruary---April---120---60

Which of the following figures do not have any line of symmetry?

A

B

C

D

If the code of CIRCULAR is RALCURIC, then what is the code for PENTAGON ?

ANOGTAPEN
BGONTANEP
CGONTNEPA
DNOGTANEP

The least number which when divided by 12, 16, 24 and 48 leaves a remainder of 3, 7, 15 and 39 respectively, is _____ .

A16
B48
C57
D39

Priya used four similar rectangular carpets and a square carpet for the flooring in her study room as shown below.

If it cost her ₹ 6 per square metre for the rectangular carpets and ₹ 8 per square metre for the square carpet, how much did she pay in all?

A ₹ 512
B ₹ 600
C ₹ 417
D ₹ 416

Rational number lies between consecutive integers ______.

A –2 and –3
B
C –4 and –5
D –5 and –6