If +, , ×, ÷, =, > and < are represented as δ, •, γ, η, ω, β, α respectively, then which of the following is correct?

Solution
Option A):
3 γ 6 η 2 δ 8 • 4 ω 5
⇒ 3 × 6 ÷ 2 + 8  4 = 5
⇒ 3 × 3 + 8  4 = 5
⇒ 17  4 ≠ 5
Option B):
3 η 6 γ 2 δ 8 • 4 β 5
⇒ 3 ÷ 6 × 2 + 8  4 > 5
⇒ ^{3}⁄_{6} × 2 + 8  4 > 5
⇒ 1 + 8  4 ≯ 5
Option C):
3 γ 6 • 2 δ 8 η 4 ∝ 5
⇒ 3 × 6  2 + 8 ÷ 4 < 5
⇒ 3 × 6  2 + 2 < 5
⇒ 18  2 + 2 ≯ 5
Option D):
3 δ 6 • 2 γ 8 η 4 ω 5
⇒ 3 + 6  2 x 8 ÷ 4 = 5
⇒ 3 + 6  2 x 2 = 5 ⇔ 9  4 = 5
The red colour of ripe tomatoes is due to the presence of
Which of the following is a system software?
Male (Anopheles) mosquito feeds on
Scurvy is caused due to the deficiency of
The gas that is used in the manufacture of vanaspati ghee is
If x, y, z are three sums of money such that y is the simple interest on x and z is the simple interset on y for the same time and at the same rate of interest, then we have

Solution
SI = \(frac{P times R times T}{100}\)
⇒ \(y = frac{x times R times T}{100} Leftrightarrow z = frac{y times R times T}{100}\)
⇒ ^{y}⁄_{z} = ^{x}⁄_{y} ⇔ y^{2} = zx
At the beginning of a partnership business, the capital of B was ^{3}⁄_{2} times that of A. After 8 months B withdrew ^{1}⁄_{2}nd of his capital and after 10 months A withdrew ^{1}⁄_{4}th of his capital. At the end of the year, if the profit incurred is Rs 53,000, find the amount received by A.

Solution
Initially, A's capital = Rs x.
∴ B's capital = Rs ^{3x}⁄_{2}
Ratio of the equivalent capitals of A and B for 1 month
= (x × 10 + ^{3x}⁄_{4} × 2) : (^{3x}⁄_{2} × 8 + ^{3x}⁄_{4} × 4)
= (10x + ^{3x}⁄_{2}) : (12x + 3x) = 23 : 30
∴ A'share = ^{23}⁄_{53} × 53000 = ₹ 23,000
One type of liquid contains 20% water and the second type of liquid contains 35% of water. A glass is filled with 10 parts of first liquid and 4 parts of second liquid. The water in the new mixture in the glass is

Solution
In 10 litres of first type of liquid,
Water = (^{1}⁄_{5} × 10) = 2 litres
In 4 litres of second type of liquid,
Water = (4 × ^{35}⁄_{100}) = ^{7}⁄_{5} litres
Total amount of water = (2 + ^{7}⁄_{5}) = ^{17}⁄_{5}
Required percentage = \(frac{frac{17}{5}}{14} times 100\)
= \(frac{170}{7} = 24frac{2}{7}%\)
A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for Rs 225. The original price of the commodity per kg was

Solution
Let the original price of article be Rs x per kg
∴ New price = Rs ^{9x}⁄_{10} per kg.
Now, according to the question,
\(frac{225}{frac{9x}{10}}  frac{225}{x} = 25\)
⇒ \(frac{225 times 10}{9x}  frac{225}{x} = 25\)
⇒ \(frac{250}{x}  frac{225}{x} = 25\)
⇒ ^{25}⁄_{x} = 25 ⇔ x = Re 1 per kg.
The average age of A and B is 20 years. If A is to be replaced by C, the average would be 19 years. The average age of C and A is 21 years. The ages of A, Band C in order (in years) are

Solution
A + B = 2 × 20 = 40
C + B = 2 × 19 = 38
C + A = 2 × 21 = 42
On adding all the three, we get,
2 (A + B + C) = 40 + 38 + 42 = 120
⇒ A + B + C = 60
∴ A = (A + B + C)  (B + C) = (60  38) = 22 years
B = (A + B + C)  (A + C) = (60  42) = 18 years
C = (A + B + C)  (A + B) = (60  40) = 20 years
Which of the following motions is related with the Union Budget?
The Nobel Prize was instituted by the country
Which is the artificial port of India?
Globalisation means
Taxation is a tool of
Direction: In the following questions, select the missing number from the given responses.

Solution
4 × 2 × 3 × 3 = 75
9 × 4 × 2 × 10 = 720
6 × 20 × 1 × 6 = 720
If ‘MERCURY’is written as ‘FGIECAB’ in a code, how can ‘CURE’ be written in that code?

Solution
Arrange the given words in the sequence in which they occur in the Dictionary and locate the last word.
Some letters are given with numbers from 1 to 7. Select the sequence of numbers which arranges the letters into a meaningful word.
S O U B R C E
1 2 3 4 5 6 7

Solution
0 → 2
B → 4
S → 1
C → 6
U → 3
R → 5
E → 7
The highest waterfall of India is