SSC CGL MATHS QUIZ-33

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Question 1:

Find the least multiple of 23, which when divided by 18,21 and 24 leaves the remainder 7, 10 and 13 respectively.

Question 2:

In a 54 litres mixture of milk and water, the ratio of milk to water is $2: 1$. when some quantity of water is added to the mixture this ratio becomes $1: 2$ The quantity of water added is:

Question 3:

If $\operatorname{cosec} \theta-\cot \theta=\frac{7}{2}$, the value of $\operatorname{cosec} \theta$ is:

Question 4:

What is the rate of interest if simple interest earned on a certain sum for the $3^{\text {rd }}$ year is 1840 and compound Interest earned for 2 years is Rs 3956 ?

Question 5:

A solid cylinder has total surface area of 462 sq. $\mathrm{cm}$ Curved surface area is $\frac{1}{3}$ rd of its total surface area. The volume of the cylinder is:

Question 6:

Two circles having radius $16 \mathrm{~cm}$ and $9 \mathrm{~cm}$ touches each other externally, then find the length of common tangent.

Question 7:

In a triangle $\mathrm{ABC}, \mathrm{AC}=8 \mathrm{~cm}, \mathrm{AB}=6 \mathrm{~cm}$, and $\mathrm{BC}=12 \mathrm{~cm}$ then find the value of $\angle \mathrm{ACB}$ $=?$

Question 8:

Two pipe A and B can fill a cistern in 10 and 15 hours respectively. If both the pipes are opened for one-one hour alternatively starting from pipe A, then find the total time required to fill the cistern completely?

Question 9:

Three students $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ play cricket. The runs scored by $\mathrm{A}$ and $\mathrm{B}$ respectively are in the ratio $3: 2 .$ B's runs to C's runs are also in the same ratio. Together they score 342 runs. Then the runs scored by $\mathrm{B}$ are:

Question 10:

The average score in English of 82 students of class IX and class $\mathrm{X}$ was $64.25$. The number of students in class IX were 10 more than those in class $X$.The average score of students in class IX was $33.33 \%$ more than that of students in class $\mathrm{X}$. The average score of students in class IX is: