UP SI MATHS QUIZ-39

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Question 1:

The area of the floor of a cubical room is 192 m2. The length of the longest rod that can be kept in that room is

Question 2:

The difference between the compound interest and the simple interest on a certain sum at 8% per annum for 2 years is ₹ 144. What is the amount (in ₹)?

Question 3:

$\mathrm{A}$ and $\mathrm{B}$ started their journeys from $\mathrm{X}$ to $\mathrm{Y}$ and $\mathrm{Y}$ to $\mathrm{X}$, respectively. After crossing each other, $\mathrm{A}$ and $\mathrm{B}$ completed the remaining parts of their journeys in $2 \frac{2}{7}$ hours and 7 hours, respectively. If the speed of $A$ is $35 \mathrm{~km} / \mathrm{h}$, then the speed, in $\mathrm{km} / \mathrm{h}$, of $\mathrm{B}$ is:

Question 4:

$10 \%$ of a number $\mathrm{A}$ is equal to $30 \%$ of a number $\mathrm{B}$. The number $\mathrm{B}$ is equal to $25 \%$ of the third number $\mathrm{C}$. If the value of $\mathrm{C}$ is 6000, then what is the sum of $60 \%$ of $\mathrm{A}$ and $20 \%$ of $\mathrm{B}$?

Question 5:

The average weight of 15 students in a class increase by $1.5 \mathrm{~kg}$ when one of the students weighting $45 \mathrm{~kg}$ is replaced by a new student. What is the weight (in $\mathrm{kg}$ ) of the new student?

Question 6:

A policeman goes from his home to police station with his bike at a speed of $50 \mathrm{~km} / \mathrm{h}$, he is late by 30 minute. If he goes at $60 \mathrm{~km} / \mathrm{h}$, he is late by only 5 minute. Find the distance between his house and police station. (in $\mathrm{km}$ )

Question 7:

Rakesh got $40 \%$ marks in an examination and failed by 30 marks. Aditya got $45\%$ marks and got 40 marks more than the marks required to pass. What is the percentage of marks required to pass?

Question 8:

How many small solid spheres of radius $5 \mathrm{~mm}$ can be made from a solid metallic cone of base radius $21 \mathrm{~cm}$ and height of $40 \mathrm{~cm}$?

Question 9:

Find the greatest number, which will divide 215,167 and 135 so as to leave the remainder same in each case.

Question 10:

Pradeep sold an article at 8% gain. Had it been sold for ₹ 150 more, the gain would have been 14%. If he had sold it for ₹ 2,650, then gain percent would have been: