He is rarely seen these days. The bold word is a/ an :

Solution
Adverb
Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7’s are there in the following series?
5 , 7, 2, 6, 5, 7, 3, 8, 3, 7, 3, 2,
5, 7, 2, 7, 3, 4, 8, 2, 6, 7, 8

Solution
2
If PLOT= 5321; TAKE= 1790 and PINK= 5469, then PLATE=?

Solution
P = 5, L = 3,0 = 2, T = 1,
A≡ 7, E≡ 0
∴ PLATE = 53710
If you were a cartographer, what would you be studying?

Solution
Maps
If the radius of a sphere is doubled, its surface area will increase by :

Solution
Let initial radius = r
⇒ Afterincreasingradius = 2r
⇒ Initialsurface area (SA)=πr^{2}
AfterIncreasing S.A.=π(2r)^{2}
=4 π^{2}
Increase % =\(\frac{4\pi r^{2}\pi r^{2}}{\pi r^{2}}\times 100\)
= 3 ×100 = 300 %
Who was declared player of the ICC World Twenty20 cricket tournament, 2007 ?

Solution
Shahid Afridi
Find the area of a circular ring whose external and internal diameter are 20 cm and 6 cm respectively.

Solution
External radius of circular
path (R) = 10 cm.
Internal radius, (r)= 3 em
∴ Area of the circular path
= π(R^{2}r^{2})
= π(R+r)(Rr)
= ^{22}⁄_{7} × 13 × 7 cm^{2} = 286 cm^{2}
By increasing the speed of the bus by 10 km/hr, the time of journey for 72 km is reduced by 36 minutes. What was the original speed of the bus?

Solution
Let the original speed of bus be x kmph.
According to the question
\(\frac{72x}{x}\frac{72}{x+10}=\frac{36}{60}=\frac{3}{5}\)\(\Rightarrow 72\left ( \frac{x+10x}{x(x+10)} \right )=\frac{3}{5}\)
\(\Rightarrow \frac{72\times 10}{x(x+10) }=\frac{3}{5}\)
⇒X^{2} + 1Ox = 1200
⇒X^{2} + 10x 1200 = 0
⇒X^{2} + 40x 30x 1200 = 0
⇒x (x + 40)  30 (x + 40) = 0
⇒(x 30) (x+ 40) = 0
⇒x=3040
Since the speed is always expressed as a positive number,
∴ Required speed = 30 kmph
How much per cent more than the cost price should a shopkeeper mark his goods so that after giving a discount of
12.5%,he makes a profit of 5%?
A train travels 200 km at a uniform speed. If the speed had been 10km/hr less, the journey would have taken forty minutes more. Find the speed of the train.