UPSC previous year question papers mathematics

here I am giving you question paper for elementary mathematics subject of Combined Defense Services examination organizes by Union public service commission

some questions are given below ..
When a natural number n is divided by 4,
the remainder is 3. What is the remainder
when 2n is divided by 4 ?
(a) 1
(b) 2
(c) 3
(a 6

What is the last digit in the expansion of
(2457)754 ?
(a) 3
(b) 7
(4 8
( 4 9

If log 6 = m and log, 3 = n, then what is
log (d2) equal to ?
(a) m - n + 1
(b) m + n - 1
(c) I - m - n
(d) I - m + n

Consider the following statements :
A number a,a,a3a,a, is divisible by 9 if
1. a, + 4 + % + a4 + ai is divisible by 9.
2. a, -a, + a,, -a4 +a, is divisible by 9.

Which of the above statements idlare mmct ?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

If the remainder of the polynomial
a, + a,x + %x2 + ........ + anxn when divided
by (x - 1) is 1, then which one of the

following is correct ?
(a) a, + a, + .......... = a , + % + ..........
(b) %+%+ .......... = 1 +a, +a,+ ..........
(c) I+%+%+ .......... =-(a, +a, + ..........)
(d) 1 - a 0 - 4 + .......... =a, +a,+ ..........
When (x3 - 2x2 + px - q) is divided by
(xZ - 2x - 3), the remainder is (x - 6).
What are the values of p, q respectively ?
(a) -2, 4
(b) 2, -4
(c) -2, 6
(dl 2, 6

What are the values of c when the HCF
0 f ~ ~ + ~ ~ ~ - ~ + 2 c a n d ~ ~ + the rationals is a linear polynomial ?
(a) 321
(b) k2
(4 f3
(4 A4
If (x -+ 2) is the WCF of xZ +, ax + b and
xZ -t- cx t d (a # c and b d), then which
one of the following is correct ?
(a) a + c = b + d
(b) 2a + b = 2c + d
(c) b + 2c = 2a + d
(d) b - 2c = 2a – d

UPSC CDS elementary mathematics exam paper







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Answered By StudyChaCha Member