CGL MAINS SCORE BOOSTER QUANT QUIZ-10

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Question 1:

Amit invested an amount of P rupees in a bank for 2 years which gave $7 \%$ interest in $1^{\text {st }}$ and $11 \%$ interest in $2^{n d}$ year, interest is compounded yearly. The amount received after 2 years is 47508 rupees. What is the principle.

Question 2:

If $x+\frac{1}{x}=\frac{\sqrt{3}+1}{2}$, then what is the value of $x^{4}+\frac{1}{x^{4}}$?

Question 3:

If two lines $2 x+3 y=8,4 x-\mathrm{ky}=16$ has infinite numbers of solution then find $\mathrm{k}$.

Question 4:

Two chords $A B$ and $C D$ meet at $E$. If $\angle A E D$=$90^{\circ}$ and $A E=8 \mathrm{~cm}$ and $B E=4 \mathrm{~cm}, C E: E D=25$ : 32 , then find BC.

Question 5:

Alloy A contains metals $\mathrm{X}$ and $\mathrm{Y}$ only in the ratio $3: 8$ and alloy B contains these metals in the ratio $4: 3 .$ In what ratio alloy $\mathrm{A}$ and alloy B should be mixed to get alloy $\mathrm{C}$ in the ratio of $9: 13$ :

Question 6:

Rs. 3776 is to be distributed among A, B and C such that A's share is 9 times B's share and also 5 times $\mathrm{C}^{\prime}$ s share. How much did B get? (in rupees).

Question 7:

Find the value of:$\left[3.2 \text { of } \frac{25}{2}+\frac{1}{8} \div 3 \times 36-\frac{16.5}{11} \div \frac{1}{3}\right] \% \text { of } 350$

Question 8:

If $a^{2}+b^{2} -c^{2}=0$, then the value of $\frac{2\left(a^{6}+b^{6}-c^{6}\right)}{3 a^{2} b^{2} c^{2}}$

Question 9:

If $\frac{\cos x \cos y-\sin x \sin y}{\cos x \cos y+\sin x \sin y}=\frac{a+b}{a-b}$ then find the value of $\tan x \cdot \tan y$ ?

Question 10:

In an examination, 52% of the candidate failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then the percentage of candidates, who passed in both the subjects was: