(a) 1.45 (b) 1.88
(c) 2.9 (d) 3.7
(a) 31 (b) 32
(c) 36 (d) 37
(c) 998 (d) 1002
Q5.If [p] means the greatest positive integer less than or equal to p, then [-1/4]+[4-1/4]+[3] is equal to
(a) 1000 (b) 999
(c) 998 (d) 1002
ANS5(d);
Given [p] greatest positive integer less than or means equal to p,
⇒[p]=p
⇒[-p]=p
⇒[-1/4]+[4-1/4]+[3]
=1+3+3=7
(a) 1 (b) 9
(c) 3 (d) 3^n
(a) 1.0 (b) 0.5
(c) 0.6 (d) 1.1
(c) 9/4 (d) 3/2
Q9. If a=7,b=5 and c=3, then the value of a^2+b^2+c^2-ab-bc-ca is
(a) 12 (b) –12
(c) 0 (d) 8
Q10.If a=4.36,b=2.39 and c=1.97, then the value of a^3-b^3-c^3-3abc is
(a) 3.94 (b) 2.39
(c) 0 (d) 1
Q11.If a≠b, then which of the following statements is true?
(a) (a+b)/2=√ab (b) (a+b)/2<√ab
(c) (a+b)/2>√ab (d) All of the above
ANS11.(c); Given that a≠b
Let a=16,b=4
So, (a+b)/2=(16+4)/2=10
and √ab=√(16×4)=8
∴(a+b)/2>√ab
∴ option (c) is correct
Q13.If for non-zero x,x^2-4x-1=0, the value of x^2+1/x^2 is
(a) 4 (b) 10
(c) 12 (d) 18
Q15.If x is real then the minimum value of (x^2-x-1) is
(a) 3/4 (b) 0
(c) 1 (d) –5/4
