UP SI MATHS QUIZ-55

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Question 1:

If $x^{2}+y^{2}=45$ and $x-y=5$ then what is the value of $x^{3}-y^{3}$ ?

Question 2:

Which of the following options is divisible by $11 ?$

Question 3:

The expenditure on food is $35 \%$ of the income of a particular family. If the income is raised by $30 \%$, then how much percentage (to the nearest whole number) of food expenditure is less than the initial percentage to keep the food expenditure unchanged?

Question 4:

With an average speed of $42 \mathrm{~km} / \mathrm{h}$, a train reaches its destination in time. If it moves with an average speed of $14 \mathrm{~km} / \mathrm{h}$, it is late by 35 minutes. The length of the journey is:

Question 5:

A solid metallic cube of side $4.4 \mathrm{~cm}$ is melted and recast in the form of a wire of radius $2 \mathrm{~mm}$. Find the length (in $\mathrm{cm}$ ) of the wire. $\left(\right.$ Use $\left.\pi=\frac{22}{7}\right)$

Question 6:

How many 25 cm × 11.25 cm × 6 cm bricks will be required to construct an 8 m × 6 m ×22.5 cm wall?(ignoring other material used)

Question 7:

The average runs scored by Sunil in 17 innings is 37. What is his score in the 17th inning, thereby, increasing his average score by 9 runs?

Question 8:

The simple interest on a certain sum for $3 \frac{1}{2}$ years at the rate of $10 \%$ per annum is Rs.2,940. What will be the compound interest in Rs.) on the same sum for $1 \frac{1}{2}$ years at the same rate when interest is compounded half-yearly (nearest to a rupee)?

Question 9:

The marked price of an article is Rs. x After allowing two successive discounts of 20% and 16% on the marked price, it is sold for Rs. 504. What is the value of x?

Question 10:

A man walking at a rate of 4 km/h crossed a tunnel in 18 minutes. What is the length of the tunnel in meters?