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What must be added to the polynomial 3l⁴ + 5l³ - 7l² + 5l + 3 so that the resulting polynomial is exactly divisible by l² + 3l + 1 ?

A - 3l + 1
B - 3l - 1
C3l + 1
D3l - 1

In the given figure, XW is a tangent to the circle with centre O at X and YZW is a straight line. Find the value of y.


A30°
B35°
C40°
D50°

Select the correct match.

------------Figure--------Congruence criteria

A --------S A S

B --------R H S

C --------S S S

D --------A S A

The figure below shows the rectangle ABCD (not drawn to scale). R is thrice the size of P and 1/2 the size of S. Q is twice the size of P. What fraction of the whole figure is the sum of Q and S?



A1/3
B2/3
C4/5
D6/5

If two sides of an isosceles triangle are 3 cm and 8 cm, then the length of the third side is

A 5 cm
B 8 cm
C 3 cm
D Both B and C

The points A, B, C and D lie on a straight line. The ratio of the length of AB to the length of BC is 3 : 4 and the ratio of the length of AC to the length of CD is 2 : 1. Find the ratio of the length of BC to the length of AD.



A21 : 8
B1 : 21
C8 : 21
D5 : 6

Find the missing number, if same rule is followed row-wise or column-wise.



A25
B48
C59
D73



Which statement about the given figures is false?


A Area of figure 2 is more than area of figure 1 

B Perimeter of figure 2 is more than perimeter of figure 1

C Length of figure 1 is less than the length of figure 2 

D None of these





A 1¹⁄₄
B 1³⁄₄
C 2¹⁄₄
D 2³⁄₄

Five squares (labelled A, B, C, D and E) are drawn along a straight line, each touching the next square at a vertex, as shown in the diagram. Square B has an area of 20. Square C has a side length of 4. Square D has double the area of square B. What is the area of square E?

A 20
B 24
C 96
D 120