# CDS Maths(1) Questions and answers

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These are the list of questions asked in the previous year CDS Maths Exams. You can practice these questions as real time exam in this link.

21). If $$a_{n}= 3 - 4n$$, then what is $$a_{1} + a_{2} + a_{3} + ...... + a_{n}$$ equal to $$[ 1 + 2 + 3 + ..... + n = \frac{n(n + 1)}{2}]$$
 A). -n(4n-3) B). -n(2n-1) C). -$$n^{2}$$ D). -n(2n-1)
22). A train travels at a speed of 40km/hr and another train at a speed of 20m/s. what is the ration of speed of the first train to that of the second train?
 A). 2:01 B). 5:09 C). 5:03 D). 9:05
23). $$\left( x+y\right)$$ : $$\left( x-y\right)$$= 3 : 5 and xy = positive imply that
 A). $$x$$ and $$y$$ are both positive B). $$x$$ and $$y$$ are both negative C). One of them is positive and one of them is negative D). No real solutions for $$x$$ and $$y$$ exist
24). How many pairs of $$X$$ and $$Y$$ are possible in the number $$763X4Y2$$, if the number is divisible by 9?
 A). 8 B). 9 C). 10 D). 11
25). What is the remainder when $$4^{1012}$$ is divided by 7?
 A). 1 B). 2 C). 3 D). 4

26). What is the highest common facter of $$2x^{3}$$+$$x^{2}$$-$$x$$-$$2$$ and $$3x^{3}$$-$$2x^{2}$$+$$x$$-$$2$$?
 A). $$x-1$$ B). $$x+1$$ C). $$2x+1$$ D). $$2x-1$$
27). What is the remainder when $$\left( 1235 \times 4523 \times 2451\right)$$ is divided by 12?
 A). 1 B). 3 C). 5 D). 7
28). What is the remainder when $$\left(17^{23} + 23^{23} + 29^{23}\right)$$ is divided by 23?
 A). 0 B). 1 C). 2 D). 3
29). $$p$$,$$q$$ and r are prime numbers. Such that p< q
 A). 1 B). 2 C). 3 D). None of these
30). The LCM of two numbers is 90 times their HCF. The sum of DCM and HCF is 1456. If one of the numbers is 160; then what is the other number?
 A). 120 B). 136 C). 144 D). 184
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