DELHI POLICE MATHS QUIZ -16

What is the smallest four-digit number which when divided by $2,3,4$ and $6$ leaves remainder 1 in each case?

The greatest number that will divide 397,435 and 5420 leaving 6,10 and 14 as remainders, respectively, is:

The amount obtained by investing a certain sum at $r \%$ p.a. for 4 years at simple interest is equal to the simple interest on the same sum at the same rate for 14 years. What is the value of $r$ ?

The product of two numbers is 9216. When the larger number is divided by the smaller number, the quotient is 16 leaving no remainder. What is the difference between the numbers?

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 $x$ ?

A train covers some part of a distance of $560 \text{ km}$ at $40 \text{ km/h}$ and the rest at $160 \text{ km/h}$ in $9$ hours and $30$ minutes. What is the total distance (in km) covered by the train at $40 \text{ km/h}$?

Arun spends $30 \%$ of his monthly income on groceries, $20 \%$ of the remaining on rent, and $45 \%$ of the remaining on children's education and others. If he saves ₹ 5,544 a month, then how much (in ₹) does he spend on rent?

During a rainy day, $4 \mathrm{~cm}$ of rain falls. The volume (in $\mathrm{m}^{3}$ ) of water that falls on $1.5$ hectares of ground is:

A certain sum amounts to ₹ 5,808 after 2 years and to ₹ 7,320 after 5 years at the same rate per cent per annum at simple interest. What will be the simple interest on a sum of ₹ 8,500 for $4 \frac{2}{3}$ years at the same rate?

An article is sold at a discount of $28\%$ on its marked price. If the cost price of the article is ₹ 1,080, and there is a profit of $20 \%$, then what is the marked price of the article?