UP LEKHPAL QUANT QUIZ

Attempt now to get your rank among 37 students!

Question 1:

How many pairs $(A, B)$ are possible in the number $479865 \mathrm{AB}$ if the number is divisible by 9 and it is given that the last digit of the number is odd?

Question 2:

$\text { The factorisation of } 4 x^{2}+8 x+3 \text { is }$

Question 3:

Kamran and Imran can individually complete a job in 42 min and 77 min respectively. Starting with Kamran, they work alternately for a minute each till the work is completed, only the one working at the end allowed to work for less than a minute in his final turn. How Iong will it take to complete the job?

Question 4:

The simplified from of $\left(16^{\frac{1}{2}}+16^{-\frac{1}{2}}\right)$ is:

Question 5:

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ can do a piece of work in 30,20 and 10 days respectively. $A$ is assisted by $B$ on one day and by $\mathrm{C}$ on the next day, alternately. How long would the work take to finish?

Question 6:

What approximate value will come in place of the question mark (?) in the following question?

$14.98 \%$ of $239.99=19.99 \%$ of ? $-25.02 \%$ of $199.99$

Question 7:

A boat covers $18 \mathrm{~km}$ downstream in 3 hours. If the speed of the current is $\frac{1}{3}$ of its downstream speed, in what time will it cover a distance of $100 \mathrm{~km}$ upstream?

Question 8:

The average age of 3 girls is 24 years and the ratio of their age is $3: 4: 5$. Then the age of youngest girl is:

Question 9:

If $\tan \theta+\cot \theta=2$, then find the value of $\tan ^{2} \theta+\cot ^{2} \theta$?

Question 10:

The base of right prism is an equilateral triangle of side $6 \mathrm{~cm}$. If the volume of the prism is 108 $\sqrt{3} \mathrm{cm}^{3}$, its height is-