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Question : Directions: Given below are the numbers in the first line and symbols in the second line. Numbers and symbols are codes for each other. Choose the correct code for the given symbols.
Which number can be decoded from the following:
Option 1: 91486
Option 2: 91846
Option 3: 94816
Option 4: 94846
Correct Answer: 91486
Solution : Given:
Now, code the symbols with their respective numbers given in the question –
Thus by decoding the symbols, we will get the respective number 91486. Hence the first option is correct.
Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The human mind seems to have built-in _____ against original thought.
Option 1: ideas
Option 2: interests
Option 3: safeguards
Option 4: prejudices
Correct Answer: prejudices
Solution : The correct choice to fill in the blanks is the fourth option.
Prejudice means opinions that are not experienced by oneself, are preconceived, and go correctly in the sentence, as the sentence implies that the brain has some opinions that may not be experienced in
Question : In a cut motion, when the amount of demand is reduced by Rs.100 it is known as
Option 1: Disapproval of policy cut
Option 2: Economy cut
Option 3: Vote on account
Option 4: Token cut
Correct Answer: Token cut
Solution : The correct answer is Token cut.
Cut motions are the method of accountability with the opposition in Lok Sabha. It is a form of checks and balances in the Indian constitutional setup. In a token-cut-specific issue. It asks for a discussion on a
Question : What is the value of $\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$?
Option 1: $15(\sqrt5–\sqrt3)$
Option 2: $3(5\sqrt5+\sqrt3)$
Option 3: $15(\sqrt5+\sqrt3)$
Option 4: $3(3\sqrt5+\sqrt3)$
Correct Answer: $3(5\sqrt5+\sqrt3)$
Solution : Given: $\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$ = $\frac{12\sqrt5-12\sqrt 3+18\sqrt5+18\sqrt 3}{(\sqrt5+\sqrt3)(\sqrt{5}-\sqrt3)}$ = $\frac{30\sqrt5+6\sqrt3}{5-3}$ = $\frac{6(5\sqrt5+\sqrt3)}{2}$ = $3(5\sqrt5+\sqrt3)$ Hence, the correct answer is $3(5\sqrt5+\sqrt3)$.
Question : Which river originates from the southern part of Devarayanadurga hill in Tumkur district and flows for about 221 km before joining Kaveri?
Option 1: Shimsha River
Option 2: Girna River
Option 3: Ghataprabha River
Option 4: Waghur River
Correct Answer: Shimsha River
Solution : The correct option is Shimsha River.
One of the Kaveri River's tributaries is the Shimsha. The river originates in Tumkur's Devarayanadurga hills. At Chamarajanagar, it enters the Cauvery after flowing for around 221 km from its source. After originating in the Tumkur district,
Question : If $x+y+z=1, \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1,$ and $xyz=-1$, then $x^3+y^3+z^3 $ is equal to:
Option 1: –1
Option 2: 1
Option 3: –2
Option 4: 2
Correct Answer: 1
Solution : Given: $x+y+z=1,\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$, $xyz=-1$ Consider, $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$ ⇒ $xy+yz+zx=xyz=-1$ Now, $x+y+z=1$ ⇒ $(x+y+z)^2=1^2$ ⇒ $x^2+y^2+z^2+2(xy+yz+zx)=1$ ⇒ $x^2+y^2+z^2+2(-1)=1$ ⇒ $x^2+y^2+z^2=3$ We know, $x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx)$ So, putting all the values, we get, ⇒ $x^3+y^3+z^3-3×(-1)=1×[3-(-1)]$ ⇒ $x^3+y^3+z^3=4-3$ $\therefore x^3+y^3+z^3=1$ Hence, the correct answer is 1.
Question : What is the simplified value of $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$?
Option 1: $y$
Option 2: $z$
Option 3: $1$
Option 4: $x$
Correct Answer: $1$
Solution : Given: The expression is $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$. $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$ Substitute the value of $x=y=z=1$, in the given expression, we get, = $\frac{(1+1+1)(1\times1+1\times 1+1\times 1)–1\times1\times1}{(1+1)(1+1)(1+1)}$ = $\frac{3\times 3–1}{2\times 2\times 2}=\frac{9–1}{8}$ = $\frac{8}{8}$ = $1$ Hence, the correct answer is
Question : Directions: In a certain code language, BAG is coded as 71, and VICE is coded as 69. How will LIKE be coded in that code language?
Option 1: 71
Option 2: 76
Option 3: 68
Option 4: 65
Correct Answer: 71
Solution : Given: BAG is coded as 71, and VICE is coded as 69.
Add the place value of opposite letters of BAG, and VICE to obtain the required codes – B→Y→25; A→Z→26; G→T→20 25 + 26 + 20 = 71 Thus, BAG is coded as 71.
Question : Directions: Select the letter cluster that will replace the question mark (?) in the following series. USF, ZXK, ECP, ?
Option 1: JIT
Option 2: JHU
Option 3: IGU
Option 4: JHV
Correct Answer: JHU
Solution : Given: USF, ZXK, ECP, ?
Add 5 to the letters of the previous term to obtain the next term in the series – USF→U + 5 = Z; S + 5 = X; F + 5 = K ZXK→Z + 5 = E; X +
Question : Right to Privacy comes under
Option 1: Article 19
Option 2: Article 20
Option 3: Article 21
Option 4: Article 18
Correct Answer: Article 21
Solution : The correct option is Article 21.
The right to privacy is a basic one that the Indian Supreme Court has regarded as being implicit in the rights to life and personal liberty given by Article 21 of the Constitution. This interpretation was established in
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