SSC CGL MATHS QUIZ-12

Question 1:

Find the Value of the given expression:

$8 \frac{4}{5}-\left[4 \frac{3}{4} \div\left\{9 \frac{1}{2}-\frac{1}{3}+\frac{1}{6}\right\} \div \frac{6}{8} \times \frac{4}{19}\right]$

$\frac{303}{35}$

$\frac{35}{303}$

$\frac{45}{303}$

$\frac{303}{45}$

Question 2:

A and B Can Complete a work in 15 days and 20 days respectively. A and B decided to work alternately, B Started the work first find in how many days will they complete 60% of the work?

$7 \frac{3}{4}$ days

$9 \frac{1}{2}$ days

$10 \frac{1}{3}$ days

None of these

Question 3:

A loan is to be returned in three equal yearly installments. If the rate of interest is $16.66 \%$ p.a., compounded annually, and each installment is Rs. 5145 , then the total interest charged in this scheme is:

Rs. 11430

Rs. 14,340

Rs.5004

Rs. 4005

Question 4:

In the given figure $B D$ is perpendicular to $A C$, then What will be the measure of angle $A E B$.

$80^{\circ}$

$100^{\circ}$

$95^{\circ}$

$110^{\circ}$

Question 5:

If $\sec \theta-\tan \theta=\frac{4}{5}$ then find the value of $\sin \theta ?$

$\frac{9}{41}$

$\frac{41}{40}$

$\frac{46}{25}$

$\frac{7}{25}$

Question 6:

In given figure, a circle in cribbed in $\triangle P Q R$ with touches its side $P Q, Q R$ and $R T$ at point $S, T$ and $U$. respectively'. If $P Q=12 \mathrm{~cm}, Q R=8 \mathrm{~cm}$, and $R P=16 \mathrm{~cm}$ then find the length of $P S, Q T$ and $R U$.

$P S=10{\mathrm{cm}}, Q T=2{\mathrm{cm}}$ and RU =$8{\mathrm{cm}}$

$P S=12{\mathrm{cm}}, Q T=8{\mathrm{cm}}$ and RU= $10{\mathrm{cm}}$

$P S=10{\mathrm{cm}}, Q T=2{\mathrm{cm}}$ and RU =$6{\mathrm{cm}}$

$P S=6{\mathrm{cm}}, Q T=9{\mathrm{cm}}$ and RU =$10{\mathrm{cm}}$

Question 7:

A man buys two articles for a total o cost of 2720 . He sells on article at loss of $25 \%$ and another at a profit of $33 \frac{1}{3} \%$. He incurs a profit of $712.5$ on the whole transaction. Find the cost price of lower priced article.

Rs 300

Rs 330

Rs 350

Rs 370

Question 8:

L.C.M. of two numbers is 120 and their H.C.F. is 10 . Which of the following can be the sum of those two numbers?

140

80

60

70

Question 9:

A person divided a certain sum between his three friends in the ratio $4: 5: 10$. Had he divided the sum in the ratio $\frac{1}{4}: \frac{1}{5}: \frac{1}{10}$, the friend, who got the least share earlier, would have got Rs. 1173 more. Find out the difference between the two highest shares?

Rs. 1265

Rs.1562

Rs. 2165

Rs. 1256

Question 10:

A cricketer whose bowling average is $12.4$ runs per wicket, takes 5 wickets for 26 runs and thereby decreases his average by $0.4$. The number of wickets taken by him till the last match was

64

72

80

85