UP POLICE CONSTABLE QUANT QUIZ

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Question 1:

A is half as good a workman as B and together they finish a piece of work in 32 days. In how many days will A alone finish the same work?

Question 2:

If $\vec{a}$ and $\vec{b}$ are two vectors of different directions then the points whose position vectors are $x_{1} \vec{a}+y_{1} \vec{b}$,$x_{2} \vec{a}+y_{2} \vec{b}$ and $x_{3} \vec{a}+y_{3} \vec{b}$ are collinear if $\left|\begin{array}{lll}x_{1} & x_{2} & x_{3} \\ y_{1} & y_{2} & y_{3} \\ 1 & 1 & 1\end{array}\right|$ is

Question 3:

Find the remainder :

$\frac{93+92+66+40}{13}$

Question 4:

When the numerator of a fraction is increased by 200% and the denominator is increased by 100%, the value of the fraction becomes 8 : 9, then find the value of the original fraction?

Question 5:

A two-digit number is $\mathrm{K}$ times the sum of its digits. When these numbers are interchanged, it equals $\mathbf{N}$ multiplied by the sum of digits. Which of the following is equal to N?