Directions : Which set of letters when sequentially placed at the gaps in the given letter series shall complete it ?
a _ aa bb __ ab _ b_.

Solution
a b / aa bb / a a ab b b / a
Directions : In each of the following questions, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

Solution
In each subsequent figure the cross sign moves in anticlockwise direction whereas the small circle moves in clockwise direction alternately.
Directions : In each of the following questions, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
13,40,122,369,?

Solution
13 × 3 + 1 = 39 + 1 = 40
40 × 3 + 2 = 120 + 2 = 122
122 × 3 + 3 = 366 + 3 = 369
369 × 3 + 4 = 1107 + 4 = 1111
Directions : In each of the following questions, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
N O A B O P B C P Q G D ? ? ? ?

Solution
NO OP PQ QR
AB BC CD DE
A prism has as the base a rightangled triangle whose sides adjacent to the right angles are 10 cm and 12 cm long. The height of the prism is 20 cm. The density of the material of the prism is 6 gm/cubic cm. The weight of the prism is

Solution
Area of the base of prism
= ^{1}⁄_{2} × 10 × 12 = 60 sq cm
∴ Volume of prism = Area of the base × height
= 60 × 20 = 1200 cu cm .
∴ Mass of prism = Volume × density
= (1200 × 6)gm\(=\left ( \frac{1200 \times 6}{1000} \right )kg = 7.2 kg\)
A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is ₹ 70 ?

Solution
Let the marked price be Rs x.
Now, according to the question,
x× \(\frac{85}{100}=\frac{170\times 120}{100}\)
⇒ x×85= 170× 120
⇒\(x=\frac{170\times 120}{85}=Rs 240\)
The marked price is 20% higher than cost price.
A discount of 20% is given on the marked price.
By this type of sale, there is

Solution
Cost price = Rs 100
Marked price = Rs 120
Selling price =\(\frac{120\times 80}{100}\)= Rs 96
∴ Loss = Rs 4 and loss per cent = 4%
A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. A alone can finish the work’ in

Solution
A's 1 day's work =\(\frac{1}{12}\frac{1}{30}=\frac{52}{60}=\frac{3}{60}=\frac{1}{20}\)
Hence, B alone will complete the work in 20 days.
If (1×2×3×4× …×n)= ⌊n then (⌊14 – ⌊13 – ⌊12) is equal to

Solution
1 × 2 × 3 × 4  x........× n = ⌊n
∴ ⌊14  ⌊13  ⌊12.
= 14 × 13⌊12  13 ×⌊12⌊12
= 14 × 13⌊12⌊12(13+1)
= 14 × 13 ⌊12 14⌊12
= 14 × ⌊12(131)
= 14 × 12 × ⌊12
Which state is called the ‘Rice Bawl’ of India?
The headquarters of WTO is at
Money supply is governed by the
National Income is generated from
Economic development depends
The planet nearest to the Sun is
An electric iron has a heating element made of
The height of a geostationary satellite from the Earth’s surface is approximately.
Which type of mirror is used in the head lights of vehicles?
The largest organ of human body is