SSC CGL MATHS QUIZ-25

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Question 1:

27 Persons are engoged to complete a work in 40 days. After 22 days it is observed that only $42.85 \%$ of the work has been done. The number of more persons to be engaged to complete the remaining work in the said period is?

Question 2:

What is the compound interest on a sum of ₹ 20000 at $10 \%$ p.a. for $2 \frac{1}{2}$ years, interest compounded annually?

Question 3:

Two circles touch each other externally at T. $R S$ is such a direct common tangent that touches the circles at the points $P$ and $Q$. $\angle T P Q=42^{\circ}$ is. What is the measure (in degrees) of $\angle P Q T$?

Question 4:

In a triangle $\mathrm{ABC}, \mathrm{AC}=10 \mathrm{~cm}, \mathrm{BC}=x \mathrm{~cm}$ and $\angle \mathrm{C}=60^{\circ}, \angle \mathrm{B}=45^{\circ}$ then find the value of $x$.

Question 5:

The value of $\frac{4}{5} \times 1 \frac{1}{9}+\frac{8}{15}+\left(5 \frac{1}{4}+\frac{3}{7}\right.$ of $\left.\frac{1}{4} \times \frac{2}{7}\right)+5 \frac{3}{5}-\frac{1}{4} \div \frac{3}{2}$ is:

Question 6:

The cost prices of two articles are in the ratio $4: 5$. While selling these articles, the shopkeeper gains $10 \%$ on one article and $20 \%$ profit on the other article, and the difference in the selling price is Rs. 480 . Find the total cost price of both the article.

Question 7:

The average age of 40 students of a class is 18 years. When 20 new students are admitted to the same class, the average age of the students of the class is increased by 6 months. The average age of newly admitted student is

Question 8:

In an election, the votes cast for two candidates were in the ratio 4:9. If the successful candidate received 984321 votes, then the total votes polled were:

Question 9:

Last year, Mayank's capital investment in a small business venture was ₹$ 20,000$. This year, to serve new clients, it plans to increase the capital funding by $30 \%$ from what was invested last year. How much is he planning to invest this year?

Question 10:

The sides of a triangle $A B C$ are $4 \mathrm{~cm}$, $6 \mathrm{~cm}$ and $8 \mathrm{~cm}$. With the vertices of the triangle as centres, three circles are drawn each touching the other two externally. What is the sum of the radii of the three circles?