Question numbers 1 to 10 are multiple choice questions of 1 mark each.
Select the correct option.
1. The sum of exponents of prime factors in the prime-factorisation of 196 is
2. Euclid’s division Lemma states that for two positive integers a and b, there exists unique integer q and r satisfying a = bq + r, and
3. The zeroes of the polynomial x2 – 3x – m (m + 3) are
(a) m, m + 3
(b) –m, m + 3
(c) m, –(m + 3)
(d) –m, –(m + 3)
4. The value of k for which the system of linear equations x + 2y = 3, 5x + ky + 7 = 0 is inconsistent is
(a) –14 / 3
(b) 2 / 5
(c) 5
(d) 10
5. The roots of the quadratic equation x2 – 0.04 = 0 are
(a) ± 0.2
(b) ± 0.02
(c) 0.4
(d) 2
6. The common difference of the A.P. 1 / p, 1 – p /p , 1 – 2p /p , …… is
(a) 1
(b) 1 / p
(c) –1
(d) –1 / p
7. The nth term of the A.P. a, 3a, 5a, …… is
(a) na
(b) (2n – 1) a
(c) (2n + 1) a
(d) 2na
8. The point P on x-axis equidistant from the points A(–1, 0) and B(5, 0) is
(a) (2, 0)
(b) (0, 2)
(c) (3, 0)
(d) (2, 2)
9. The co-ordinates of the point which is reflection of point (–3, 5) in x-axis are
(a) (3, 5)
(b) (3, –5)
(c) (–3, –5)
(d) (–3, 5)
10. If the point P (6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is
(a) 4
(b) 3
(c) 2
(d) 1
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