SSC CPO QUANT QUIZ-7

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Question 1:

If $a+\frac{1}{a}=8$, then $a^{3}+\frac{1}{a^{3}}=$ ?

Question 2:

A bag contains notes of Rs. 10, Rs. 20, and Rs 50 in the ratio of 1: 3: 5. If the total value of money in the bag is Rs.1920. Find the number of Rs. 20 notes.

Question 3:

The average age of Shyam and his two children is 19 years and the average age of Shyam's wife and the same children is 18 years. If the age of Shyam is 35 years the age of his wife is:

Question 4:

The ratio of acid to water in solutions $A$ and $B$ is $7: 2$ and $4: 5$, respectively. These solutions are mixed in the ratio of 2 : 3. What is the ratio of acid to water in the resulting solution?

Question 5:

If the length and breadth of a rectangle are increased by $8 \%$ and $12 \%$ respectively, then by what percent will the area of that rectangle increase?

Question 6:

In the examination Rajesh got 25% marks and failed by 64 marks. If he had got 40% marks he would have secured 32 marks more than the pass marks. Find the maximum marks in the examination.

Question 7:

A vertical building casts a shadow of 20 metre long on the ground. At the same time 60 meter casts a shadow of length 50 metre. Find the height of building?

Question 8:

Direction : What should come in place of question mark (?) in following questions?

$\frac{\sqrt[3]{1331}}{11}+\sqrt{81}+?=27$

Question 9:

The HCF of $\frac{2}{3}, \frac{8}{9}, \frac{10}{27}, \frac{32}{81}$ is:

Question 10:

The HCF of two numbers is 6 and the LCM is 108, if one number is 12 then find the other number.