Direction : From the given alternatives select the word which can be formed using the letters of the given word.
INFORMATION
Directions: From the given alternatives select the word which cannot be formed using the letters of the given word.
SOCIALISATION

Solution
There is no 'U' letter in the given word.
2 years ago a mother was 4 times as old as her son. 6 years from now her age will become more than double her son’s age by 10 years. What is the present ratio of their ages ?

Solution
Let the ages of the mother and son be x years and y years respectively.
Now, according to the question,
(x  2) = 4 (y  2)
∴ x 2 = 4y  8
∴ x  4y =  6....(1)
and x + 6 = 2(y + 6) + 10
∴ x + 6 = 2y + 12 + 10
∴ x  2y = 16....(2)
From equ. (1) and (2),
∴ x = 38 and y = 11
Five birds are sitting on a tree. The Pigeon is to the right of the Parrot. The Sparrow is above the parrot. The Crow is next to the Pigeon. The Crane is below the Crow. Which bird is at the centre?

Solution
Clearly, pigeon is in the centre.
In a solid cube made up of 27 small cubes, two opposite sides are painted red, two opposite sides yellow and two other sides white. How many small cubes have the colours yellow and white alone in them ?
Rama is standing at a point facing north. He walks 10 km straight, turns left and walks another 15 km straight and fmally turns left and walks 10 km. How far is he from the starting point now?

Solution
Now, he is 15 km far from his starting point.
Sanmitra starts from his house, and walks 3 km towards north. Then he turns right and walks 2 km and then turns right and walks 5 km, then turns right and walks 2 km and then again turns right and walks 2 km. Which direction is he facing now?

Solution
Now, he is facing towards North.
If HONESTY is written as ABCXZDQ, how can TONY be written in that code ?

Solution
H O N E S T Y ⇒ A B C X Z D Q
∴ T O N Y ⇒ D B C Q
If B = 2, MAT= 34, then JOGLEX = ?

Solution
B =2, and MAT= 13 + 1 + 20 = 34
∴ JOG LEX = 10 + 15 + 7 + 12 + 5 + 24 = 73
The sum of the ages of a father and a son presently is 70 years. After 10 years the son’s age is exactly half that of the father’s. What are their ages now ?

Solution
Let the present age of the father be x years
∴ The present age of his son = (70  x) years
∴ x + 10 = (70  x + 10) x 2
∴ x+ 10= 1602x
∴ 3x = 150 ∴ x = 50 years
∴ The present ages of the father and his son are 50 years and 20 years respectively
A train 150 metres long passes a tree in 12 seconds. It will pass a tunnel of 250 metres long in

Solution
∵ Speed of the train =\(frac{150m}{12sec}=frac{25}{2}m/sec\)
\(∴: Reqd.: time =frac{(250+ 150)m}{frac{25}{2}}m/sec\)
\(=frac{400times 2}{25}=32 sec\)
Three medians AD, BE and CF of ΔABC intersect at G. Area of ΔABC is 108 sq cm. The area of ΔAGB is

Solution
AD is the median of ΔABC
∴ Area of ΔABD = Area of ΔABD = ^{1}⁄_{2} × Area of ΔABC
Again, centroid G divides median AD in the
ratio 2 : l
\(ie : AG=frac{2}{(2+1)}AD=frac{2}{3}AD\)∴ Area of ΔAGB = \(left ( frac{2}{3} right )\) area of ΔABD.
(Since corresponding altitudes are same)
Area: of: ΔAGB
\(left ( frac{2}{3} right )left ( frac{1}{2}: area : of : ΔABC right )\)= \(left ( frac{1}{3} right )Area: of : ΔABC\)
\(=frac{1}{3}times 108cm^{2}=36cm^{2}\)
If x + ^{1}⁄_{x} = 5, then the value of \(\frac{2x}{3x^{2}5x+3}\) is

Solution
Given expression
\(=frac{2x}{3x^{2} 5x + 3}=frac{2x}{3xleft ( x+frac{1}{x} right )5x}\)
\(=frac{2x}{3x times 5  5x }=frac{2x}{10x}=frac{1}{5}\)
The numerical values of \(\frac{9}{cosec^{2} \theta }+4cos^{2}\theta+\frac{5}{1+tan^{2}\theta }\) is

Solution
Given expression
\(frac{9}{cosec^{2} theta }+4cos^{2}theta+frac{5}{1+tan^{2}theta }\)
\(= frac{9}{frac{1}{sin^{2theta }}}+4cos^{2}theta +frac{5}{sec^{2}}theta\)
[∵ sec^{2}θtan^{2}θ= 1]
= 9 sin^{2}θ + 4 cos^{2}θ + 5 cos^{2}θ
= (sin^{2}θ + cos^{2}θ) = 9
In a triangle, distances from centroid to vertices are respectively 4 cm, 6 cm and 8 cm. Find medians

Solution
Let the lengths of the medians be M^{1}, M^{2}and
M^{3} respectively. Since the centroid divides a
median in the ratio 2 : 1.
Then, according to the question,\(OA=frac{2}{3}M_{1}= 4 cm\)
\(=M_{1}=frac{3}{2}times 4= 6 cm\)
\(OB =frac{2}{3}M_{2}= 6 CM\)
\(Rightarrow M_{2}=frac{3}{2}times 6=9cm\)
\(OC = frac{2}{3}M_{3}= 8 cm\)
\(Rightarrow M_{3}=frac{2}{3}times 8= 12 cm\)
Hence the lengths of the medians are 6 cm, 9 cm and 12 em respectively.
Which one can imitate human speech?
Which of the following is exclusively marine animals?

Solution
Echinoderms have spiny skin. All the animals in this group are marine. Water ascular system is present. Examples, starfish, sea wichin, brittle stars, sea cucumber etc.
Pedology deals with the scientific study of

Solution
Pedology deals with the scientific study of soils. Indian Council of Agricultural Research (ICAR)divides Indian soils into eight groups
The Biosphere is the zone of Earth where life is found. It includes parts of
1. Hydrosphere 2. Lithosphere
3. Stratosphere 4. Troposphere
Select the correct answer from the following:

Solution
The Biosphere is the global sum of all ecosystems. It can also be called the Zone of life on Earth. The Biosphere is the global ecological system integrating all living beings and their relationships, including their interaction with the elements of the lithosphere, hydrosphere and atmosphere
The sweet taste of fruits is due to