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Arithematic Progressions

The list of numbers – 10, – 6, – 2, 2,… is

(A) an AP with d = – 16

(B) an AP with d =    4

(C) an AP with d = – 4

(D) not an AP

Arithematic Progressions

In an AP, if a = 3.5, d = 0, n = 101, then a_n will be

(A)  0 (B)  3.5 (C)  103.5 (D)  104.5

Arithematic Progressions

In an AP, if d = –4, n = 7, a_n = 4, then a is

(A)   6 (B)  7 (C)  20 (D)  28

Arithematic Progressions

In an AP if a = –7.2, d = 3.6, an = 7.2, then n is

(A) 1 (B) 3 (C) 4 (D) 5

Arithematic Progressions

The 10^th term of the AP: 5, 8, 11, 14, … is

(A) 32 (B) 35 (C) 38 (D) 185

Quadatric Equation

At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than t²/4 minutes. Find t.

Quadatric Equation

In the centre of  a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 [see Fig.]. Find the length and breadth of the pond.

Quadatric Equation

At  present Asha’s  age  (in  years)  is  2  more  than  the  square  of  her  daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

Quadatric Equation

If  Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11  more than five times her actual age. What is her age now? 

Quadatric Equation

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.