CGL MAINS SCORE BOOSTER QUANT QUIZ-12

Question 1:

First trader calculates profit \% on CP while second trader calculates his profit $\%$ on SP. Both sells their article at same price Rs. 4860 and both claims to gaina profit of $35 \%$. Find the difference of their actual profit?

Rs.496

Rs.590

Rs.441

Rs.402

Question 2:

$\left(x+\frac{1}{x}\right)^{2}=3$, then the value of $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ is:

0

1

84

206

Question 3:

Given $: \sqrt[3]{4}, \sqrt{3}, \sqrt[6]{25}$ and $\sqrt[12]{289}$, the greatest and least of them are respectively

$\sqrt[12]{289}$ and $\sqrt[3]{4}$

$\sqrt{3}$ and $\sqrt[3]{4}$

$\sqrt[6]{25}$ and $\sqrt{3}$

$\sqrt[3]{4}$ and $\sqrt[6]{25}$

Question 4:

Circumcentre of $\Delta \mathrm{ABC}$ is $\mathrm{O}$. If $\angle \mathrm{BAC}=85^{\circ}$ $\angle \mathrm{BCA}=80^{\circ}$, then $\angle \mathrm{OAC}$ is:

$80^{\circ}$

$30^{\circ}$

$60^{\circ}$

$75^{\circ}$

Question 5:

A shopkeeper marks his goods $12.5 \%$ above the cost price. After giving some discount, he still gained $8 \%$ profit. Find the discount percent?

$4 \%$

$5 \%$

$6 \%$

$6.5 \%$

Question 6:

A line segment $A B$ with coordinates $A(6,3)$ is divided by a point $P(0,5)$ in the ratio of $2: 3$ find the coordinates of B?

$(9,8)$

$(-9,8)$

$(-9,-8)$

$(9,-8)$

Question 7:

A, B and C can do a piece of work in 18,12 and 6 days respectively. A starts the work and is assisted by B and C on alternate days starting with B on the first day. In how many days will the work finish?

$5 \frac{7}{13}$ days

$\frac{36}{13}$ days

$5 \frac{5}{8}$ days

$2 \frac{10}{13}$ days

Question 8:

Ruhi purchased mangoes at Rs. $120 / \mathrm{kg} .10 \%$ of the mangoes was damaged. At what price (per kg) should he sell the remaining so that she earns a profit of $26 \%$ ?

156

144

168

180

Question 9:

Jyoti invests Rs.50,000 at $5 \%$ per annum compound interest for two years. The amount standing to her credit at the end of the second year is:

Rs. 52,500

Rs. 55,500

Rs. 55,125

Rs. 55,625

Question 10:

Find the value of $(x + y)$ in the figure below?

$130^{\circ}$

$150^{\circ}$

$140^{\circ}$

$160^{\circ}$