DELHI POLICE MATHS QUIZ-21

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Question 1:

If the 7 digit number $a676 \mathrm{b} 12$ is to be divisible by 72 , the least value of $(2 a+5 b)$ is.

Question 2:

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more , it would have taken 2 hours less for the same journey. What is the speed of the train (in km/h )?

Question 3:

If $x=1.5$, calculate $x^{2}+2 x+\frac{3}{4}$

Question 4:

$\mathrm{A}$ and $\mathrm{B}$ started simultaneously towards each other from places $\mathrm{X}$ and $\mathrm{Y}$, respectively. After meeting at point $M$ on the way, $\mathrm{A}$ and $\mathrm{B}$ took $3.2$ hours and $7.2$ hours, to reach $\mathrm{Y}$ and $\mathrm{X}$, respectively. The time (in hours) taken by them to reach point $M$ was:

Question 5:

In an election, the votes cast for two candidates are in the ratio 3 : 10. If all votes are valid votes and if the successful candidates received 156200 votes, then the total votes polled are:

Question 6:

A metallic sheet is of rectangular shape with dimensions $28 \mathrm{~cm} \times 16 \mathrm{~cm}$. From each of its corners, a square is cut off so as to make an open box. If the length of the square is $3 \mathrm{~cm}$, then the volume of the box (in $\mathrm{cm}^{3}$ ) is:

Question 7:

When the interest is compounded every 8 months, a certain sum of money becomes ₹ 23,958 in 2 years at 15% per annum interest. If the interest is compounded annually, how much will the same amount become at 12% p.a. in the same amount of time? (closest to ₹1)

Question 8:

The average of 14 numbers is $73.5$. If two numbers 60 and 63 are replaced by 58 and 70 and one more number $x$ is included, then the average of the numbers now increases by $1.5$. What is the value of $x$ ?

Question 9:

A sum of ₹ 7,560 is divided between A, B and C such that if their shares are diminished by ₹ 400, ₹ 300 and ₹ 260, respectively, then their shares are in the ratio $4: 2: 5$. What is the original share of $\mathrm{B}$ ?

Question 10:

A boat takes 14 minutes to travel $8.4 \mathrm{~km}$ upstream. If the ratio of the speed of the boat to that of the stream is $6: 1$, then how much time (in minutes) will the boat take to travel $33.6 \mathrm{~km}$ downstream?