UP SI MATHS QUIZ-18

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Question 1:

The ratio of the speeds of two trains is $5: 8$. If the second train runs $400 \mathrm{~km}$ in 4 hours, then the speed of the first train (in $\mathrm{km} / \mathrm{h}$ ) is:

Question 2:

$3^{2 a}=81^{2^{3 a}}$, then $x$ is equal to $

Question 3:

A Company undertakes to supply 4000 pieces of a particular equipment at 60 rs per piece. According to its estimates, even if 10% fail to pass the quality test, it will still make a gain of $25 \%$. However, later it is found that $50 \%$ of the equipment has been rejected completely. What is the loss to the company?

Question 4:

In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was

Question 5:

If the 5 -digit number $688 x y$ is divisible by 3,7 and 11 , then what is the value of $(5 x+$ 3y) ?

Question 6:

The average of 18 numbers is 65. The average of the first 10 numbers is 72 and that of the last 9 numbers is 58. If the 10th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?

Question 7:

On what principal will the compound interest for 3 years at 5 p.c.p.a amount to ₹126.10?

Question 8:

Two cars $X$ and $Y$ start running towards each other from two places $216 \mathrm{~km}$ apart. The ratio of the speeds of $X$ and $Y$ is $5: 7$ and the speed of $X$ is $60 \mathrm{~km} / \mathrm{h}$. After how many minutes will $X$ and $Y$ meet each other?

Question 9:

A certain number of persons can complete a piece of work in 46 days. If there were 8 persons more, the work could be finished in 16 days less. How many persons were originally there?

Question 10:

Perimeter of a rectangle is 2 cm more than circumference of a circle and area of circle is 616 cm². If breath of rectangle is equal to radius of circle, then find length of rectangle (in cm)?