Q1. Mode of the given data 29, 25, 38, 22, 38, 25, 38, 29 is
(a) 29
(b) 38
(c) 25
(d) 22
Q2. The polynomial P (x) = x⁴ – 2x³ + 3x² – ax + 3a – 7 when divided by (x + 1) leaves the remainder 19. The value of a is
(a) 3
(b) 2
(c) 5
(d) 4
(a) 50
(b) 75
(c) 100
(d) 150
Q4. Four traffic lights give red signals after 30 s, 45 s, 60 s and 120 s respectively. If all the traffic lights began at the same time, then all of them will give red signal at the same time in
(a) 180 s
(b) 120 s
(c) 300 s
(d) 360 s
Q5. The abscissa of the point (–2, –5) is
(a) 2
(b) –2
(c) 5
(d) –5
Q6. If the number 23583 ab is completely divisible by 80, then the value of a – b is
(a) 2
(b) 3
(c) 4
(d) 0
Q7. O is the centre of circle in following figure. ∠OCB equals
(a) 10°
(b) 30°
(c) 20°
(d) 40°
Q8. LCM and HCF of two numbers p and q are P and Q respectively. If P – p = q – Q, then
(a) p² + q² = P² + Q²
(b) p² – P² = q² – Q²
(c) P – Q = p – q
(d) pP = qQ
Q9. Vertices of quadrilateral ABCD are on circumference of a circle. If AB is diameter of circle and ∠ADC = 130°, then ∠BAC is
(a) 50°
(b) 40°
(c) 30°
(d) 20°
Q10. OA, OB and OC are edges of a cube meeting at vertex O. If length of each is a cm, then area of ∆ABC will be
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