UP SI MATHS QUIZ-57

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Question 1:

If the simple interest for 9 years be equal to $45 \%$ of the principal, then the rate interest per annum is equal to:

Question 2:

The average score of 84 students (boys and girls) in a test is 95 . The ratio of the number of boys to that of girls is $10: 11$. The average score of the boys is $20 \%$ less than that of the girls. What is the average score of the boys in the test?

Question 3:

Anil offers his customer a discount of 15% on a T-shirt and he still makes a profit of 25%. What is the actual cost of the T-shirt marked ₹500?

Question 4:

The price of an article increases by 5% every year. If the difference between its price at the end of the second and the third year is Rs.52.50, then what will be its price at the end of the first year.

Question 5:

Ashok completes a journey in 7 hours. He travels the first half of the journey at the speed of 24 km/h and the second half of it at the speed of 32 km/h. The total distance of the journey is:

Question 6:

The radius of a solid metallic sphere is equal to $15 \mathrm{~cm}$. It is melted and drawn into a long wire of radius $15 \mathrm{~mm}$ having uniform cross-section. Find the length of the wire.

Question 7:

Simplify the following expression.

$\left(3 \frac{2}{3} \text { of } \frac{3}{4}-\frac{1}{4} \text { of } \frac{4}{3}\right) \div\left(\frac{1}{4} \div \frac{3}{2}\right)+1 \frac{1}{2}$

Question 8:

If a person travels at a speed of $48 \mathrm{~km} / \mathrm{h}$, he will reach his destination on time. He covers two-thirds of his journey in five-sixths of time. At what speed (in $\mathrm{km} / \mathrm{h}$ ) should he travel to cover the remaining distance to reach his destination on time?

Question 9:

The perimetèr of a rhombus is $52 \mathrm{~m}$ and its shorter diagonal is $10 \mathrm{~m}$. The lēngth of the longer diagonal is

Question 10:

What is the least number of square tiles required to pave the ceiling of a room $15\mathrm{m}~17 \mathrm{cm}$ long and $9 \mathrm{m}~ 2 \mathrm{cm}$ broad?