MSLA Quiz

If $x^3-1=7$ , then what is x?

• 2

• -2

• 3

• -3

Tags

easy

There are 10 balls in a basket with an equal number of red and blue balls. One ball is taken out of the basket. The probability that it is a red ball is

• 0.1

• 0.3

• 0.5

• 0.7

Tags

easy

Nguyen and Wang are at (0,0). Nguyen goes four units north and five units east. Then the shortest distance between Wang and Nguyen is

• between 6 and 7

• between 7 and 8

• between 8 and 9

• exactly 9

Tags

easy

A shopkeeper gives a discount of 20%, only to raise its price by 20%. Then in the end, the product is

• getting cheaper

• getting costlier

• it's the same either way

• the price of the product is needed

Tags

easy

The numbers in the set [2,4,6,6,10] are changed to [4,8,12,12,20]. Then which of the following is not doubled?

• Mean

• Mode

• Standard deviation

• Variance

Tags

medium

Consider the quadratic $y=x^2+6x+k$ . What is the maximum value of k beyond which y is always positive?

(a)  

Tags

medium

The sum of two numbers is p and their product being q. Then the sum of the reciprocals of the two numbers is closest to

• p/q

• q/p

• pq/(p + q)

• (p + q)/(pq)

Tags

medium

There are 50 toys and you need to pick r of them, and the other does not matter. For which value of r would the number of ways that you could get your toys be maximised? Enter a number from 1 to 100.

(a)  

Tags

medium

Find the value of k in the below equation:- $\frac{1+2+3+4+...+n}{1-2-3-4-...-n}=\frac{n\left(n+1\right)}{k-n\left(n+1\right)}$

• 4

• 2

• 3

• 1

Tags

hard

It can be shown that for $0\le k<\frac{\pi}{2}$ and $n$ being a natural number, that

$\int_0^k\left(\tan^nx-\tan^{n-1}x\right)dx\ >0$ . Then

• $k<\ \frac{\pi}{4}$

• $k>\frac{\pi}{4}$

• $k<\frac{\pi}{3}$

• $k>\frac{7\pi}{16}$

Tags

hard