CDS MATHEMATICS QUIZ

Question 1:

The graphs of the linear equation $5 x-2 y=$ 9 and $x+y=6$ interesect at the point $P(\alpha, \beta)$ then what is the value of $(2 \alpha+3 \beta)$ is.

12

14

15

18

Question 2:

Find the circum - centre, of the triangle whose vertices are $(-2,5)(-3,0),(9,-6)$.

$\left({5}{}, {}{1}\right)$

$\left({4}{}, {}{1}\right)$

$\left({5}{}, {}{3}\right)$

None of these

Question 3:

If $3^{2 x+3}-244 \times 3^{x}=-9$, then which of the following statements is true?

$x$ ' is a positive number

$x$ ' is a negative number

$x$ ' can be either a positive number or a negative number

None of the above

Question 4:

Vivek can complete a piece of work in 4 days 5 Bablu takes double the time taken by Vivek, Prabhu takes double that of bablu, and Durga takes double that of Prabhu to complete the same task. They are paired in groups of two each. One pair takes two thirds the time needed by the second pair to complete the work. Which is the first pair.

Vivek and durga

Bablu and Prabhu

Prabhu and Vivek

Durga and Bablu

Question 5:

Abhishek goes to kanpur from Bareily at $6 \mathrm{~km} / \mathrm{hr}$ and returns to Bareily from kanpur at $x \mathrm{~km} / \mathrm{hr}$. What is the value of $x$, if average speed of Abhishek while going and coming back is $12 \mathrm{~km} / \mathrm{hr}$ ?

$15 \mathrm{~km} / \mathrm{hr} .$

$28 \mathrm{~km} / \mathrm{hr}$

Not possible

$42 \mathrm{~km} / \mathrm{h}$

Question 6:

Amlesh, Bablu, Chandan, Dinesh and kamlesh are five persons. The weight of Amlesh, Bablu and Chandan is $90 \%, 112 \%$ and $94 \%$ respectively of the average weight of all five. The ratio of weight of Dinesh and kamlesh is $5: 12$. The difference between the weight of Dinesh and kamlesh is $168 \mathrm{~kg}$. What is the average weight of all the five persons?

$184 \mathrm{~kg}$

$190 \mathrm{~kg}$

$200 \mathrm{~kg}$

$220 \mathrm{~kg}$

Question 7:

There are two numbers, first number is 24 more than the second number. The average of the two numbers is 38 . If 4 is added in both numbers, find the ratio of the numbers.

$15: 32$

$13: 37$

$32: 15$

$37: 13$

Question 8:

If $5 x+9 y=5$ and $125 x^{3}+729 y^{3}=120$ then the value of the product of $x$ and $y$ is

$\frac{1}{9}$

$\frac{1}{135}$

45

135

Question 9:

Simplify: $36-[18-\{14-(15-4 \div 2 \times 2)\}]$

25

21

23

27

Question 10:

Simplify: $27-[18-\{16-(5-\overline{4-1})\}]$

23

28

31

41