From the given alternative words, select the word which cannot be formed using the letters of the given word
‘DETERMINATION’

Solution
There is no'S' letter in the keyword.
A saves 20% of his monthly salary. If his monthly expenditure is ₹6,000, then his monthly savings is

Solution
If the monthly income of A is Rs x, then
\(\frac{x\times 80}{100}= 6000\)
\(⇒x=\frac{6000 \times 100}{80}= Rs 7500\)
The Xintercept of the graph of 7x3y = 2 is

Solution
At xaxis, ycoordinate = 0
∴ Putting y=0 in 7x3y=2, 7x3×0=2⇒7x=2 ⇒x=^{2}⁄_{7}
Similarly, putting x = 0 in 7x  3y = 2
y=^{2}⁄_{3}
In a circle of radius 21 cm, an arc subtends an angle of 72° at the centre. The length of the arc is

Solution
θ = 72° = 72 ×^{π}⁄_{180} radians = ^{2π}⁄_{5}radians
∴ θ=^{s}⁄_{r}⇒s=θ.r=^{2π}⁄_{5}×21
=^{2}⁄_{5}×^{22}⁄_{7}×21
=^{132}⁄_{5}= 26.4 cm
The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 18 \(\sqrt{5}\) square units, the third side is

Solution
Sides = 3x, 3x and 4x
Semi perimeter =\(\frac{3x+ 3x+4x}{2}=5x\)
\(∴\Delta =\sqrt{5x(5x3x)(5x3x)(5x4x)}\)
\(=\sqrt{5x \times 2x \times 2x \times x }=2\sqrt{5}x^{2}\)
\(∴\: 2\sqrt{5}x^{2}=18\sqrt{5}\)
\(⇒x^{2}=9Þx=3\)
\(∴\: third side = 4x = (4 \times 3 )= 12 units\)
Three circles of radii 4 cm, 6 em and 8 em touch each other pairwise externally. The area of the triangle formed, by the linesegments joining the centres of the three circles is

Solution
AB = (4 + 6 =) 10 cm
BC = (6 + 8 =) 14 cm
CA = (8 + 4 =) 12 cmSemiperimeter(s) \( ∴ \: \left ( \frac{10+14+12}{2} \right )=18\: cm\)
Area \( ∴ \: \sqrt{s(s  a)(s  b)(s  c)}\)
\(= \sqrt{18(1810)(1814)(1812)}\)
\(=\sqrt{18\times 8\times 4\times 6}= 3 \times 2 \times 2 \times 2\sqrt{6}\)
\(=24\sqrt{6}\: sq\: cm\)
P is the father of T. T is the daughter of M. M is the daughter of K. What is P to K ?

Solution
M is mother of T and wife of P.
Therefore, P is soninlaw of K.
A man walks 7 km towards north before taking left turn and walks further 5 km. Then he takes left turn and walks 15 km. Finally he takes left , turn again and walks 5 km. How much distance is he away from the starting point ?

Solution
Required distance =AF=BF AS = (157 )=8 km
Of the six members of a panel sitting in a row E is to the left of B, but on the right of A. F is on the right of B but is on the left of G who is to the left of C. Find the members sitting right in the middle.

Solution
Directions : In the following question, from the given alternatives select the word which can be formed using the letters given in the word.
OPERATION

Solution
There is no 'C' letter in the given word.
There is only one 'T' in the given word.
There is only one 'N' in the given word.