SUPER TET MATHEMATICS QUIZ 17

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Question 1:

Simplify and find the value of $x$ in the following question:

$16 \frac{3}{5}-11 \frac{7}{10}+3 \frac{1}{2}=1 \frac{7}{9}+x$

Question 2:

A train travelling at $48 \mathrm{kmph}$ crosses another train having half of its length and travelling in the opposite direction at $42 \mathrm{kmph}$, in 12 seconds. It also passes a railway platform in 45 seconds. The length of railway platform is:-

Question 3:

Two trains Vivek express and Vande Bharat start simultaneously in the opposite direction from two points Lucknow and Delhi respectively and meet at Etah after  $\mathrm{T}$ minutes and arrive at their destinations in 3 hour 45 minutes and 5 hours 24 minutes respectively. After their meeting each other Find out the value of  $\mathrm{T}$.

Question 4:

Direction: In This question, two equations numbered I and II are given. You have to solve both the equations and mark an appropriate answer?

I. $x^{2}+20 x+96=0$ 

II. $y^{2}+10 y+16=0$

Question 5:

The amount of Rs.5183 is divided among Amit, Sumit and Jagat in such a way that if Rs.27, Rs.38 and Rs. 18 be deducted from their respective shares, they have money in the ratio $3: 6: 8 .$ Find Amit's share. (in Rs.)

Question 6:

Find the unit digit of $(53)^{2003}$.

Question 7:

$\left(\frac{a^{x}}{b^{y}}\right)^{z} \times\left(\frac{a^{y}}{a^{z}}\right)^{x} \times\left(\frac{a^{z}}{a^{x}}\right)^{y}$

Question 8:

What will come in the place of the question mark ‘?’ in the following question?

$\left[\left(25^{2}-6^{3}\right) \times 3-2\right]^{1 / 2}=?$

Question 9:

A number $\mathrm{N}$ is a positive three digit number. If $\mathrm{x}$ is in its hundred's place and $\mathrm{y}$ is in its unit's place, then the number $\mathrm{N}-100 \mathrm{x}-\mathrm{y}$ is always divisible by -

Question 10:

A shopkeeper increases the price of an object by 20% and then sells it at 10% discount on the marked price. If the selling of such an object be Rs.5400 ,its cost price for the shopkeeper was ?