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CBSE Questions for Class 12 Commerce Applied Mathematics Quantification And Numerical Applications Quiz 10 - MCQExams.com

If x,y,z+R and x2+y2+z2=27, then x3+y3+z3 has
  • Minimum value of 81
  • Maximum value of 81
  • Maximum value of 27
  • Minimum value of 27
If 0<θ<π then the minimum value of sin5θ+cosec5θ is
  • 0
  • 1
  • 2
  • None of the above.
If 10x>3, then x<7.
  • True
  • False
If xyz=abc, then the least value of bcx+cay+abz is
  • 3abc
  • 6abc
  • abc
  • 4abc
Roots of the equation f(x)=x612x5+bx4+cx3+dx2+ex+64=0 are positive. Which of the following has the greatest absolute value?
  • b
  • c
  • d
  • e
For 0<x<π2, (1+4cosecx)(1+8secx), is
  • 81
  • >81
  • 83
  • >83
A motorboat covers a given distance in 6 hours moving downstream on a river. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is:
  • 6.5 hours
  • 8 hours
  • 9 hours
  • 7.5 hours
Solve 4(x1)8
  • (,3)
  • (,3)
  • (,2)
  • None of these
Solve the following inequation
2(x2)<3
  • x<3.5
  • x>3.5
  • x<2.5
  • None of these
Solve the following inequation
3x+148
  • x2
  • x2
  • x2
  • None of these
Solve the following inequation
2(x+7)9
  • x2.5
  • x2.5
  • x2.5
  • None of these
Solve the following inequations.
2x+7>15
  • x>4
  • x>7
  • x<4
  • None of these
The least integer satisfying 3961019x10<37610199x10 is
  • 1
  • 2
  • 3
  • 4
  • 5
The set of points (x,y) satisfying the inequalities x+y1,xy1 lie in the region bounded by the two straight lines passing through the respective pair of points.
  • {(1,0),(0,1)} and {(1,0),(0,1)}
  • {(1,0),(1,1)} and {(1,0),(0,1)}
  • {(1,0),(0,1)} and {(1,0),(1,1)}
  • {(1,0),(0,1)} and {(1,0),(0,1)}
  • {(1,0),(1,1)} and {(1,0),(1,1)}
A boat can go across a lake and return in time T0 at a speed v. On a rough day there is a uniform current at speed v1 to help the onward journey and impede the return journey. If the time taken to go across and return on the same day be T, then T/T0 will be
  • 1(1v21/v2)
  • 1(1+v21/v2)
  • (1v21/v2)
  • (1+v21v2)
Solution of  a for the inequality  (12)log3(22a1)>(12)log3(22a+1)
  • (1,2)
  • (0,1)
  • (1,1)
  • (1,0)
The number of positive integral solutions x2+9<(x+3)2<8x+25, is
  • 2
  • 3
  • 4
  • 5
If |x1|+|x3|8, then the values of x lie in the interval 
  • (,2)
  • [2,6]
  • (3,7)
  • (2,)
  • [6,)
If the ratio of the sum and the difference of two numbers is 7 : 2, then the ratio of these two numbers is 
  • 7 : 5
  • 9 : 5
  • 9 : 7
  • 7 : 4
The house on one side of a road are numbered using consecutive even numbers. The sum of the numbers of all the house in that row is 170.If there are least 6 house in that row and a is the number of the sixth house,then 
  • 2a6
  • 8a12
  • 14a20
  • 22a30
The corner points of the feasible region determined by the following system of linear inequalities :
2x+y10,x+3y15,x,y0 are (0,0),(5,0),(3,4) and (0,5). Let Z=px+qy, where p,q>0. Condition on p and q so that the maximum of Z occurs at both (3,4) and (0,5) is
  • p=q
  • p=2q
  • p=3q
  • q=3p
Choose the correct answer from the alternatives given :
If x:v::1:3:5 then value of x2+7y2+9z2x is
  • 7
  • 17
  • 13
  • 1
Choose the correct answer from the alternatives given:
The ratio of copper and zinc in the mixture is 5 :If 1.25 kg of zinc is added to 17.5 kg of mixture. Find the ratio of copper and Zinc in the new mixture.
  • 1:2
  • 2:1
  • 2:3
  • 3:2
Three pipes A, B,C can fill a cistern in 20 minutes, 15 minutes and 12 minutes respectively. The time in minutes that three pipes together will take to fill the cistern, is
  • 5 minutes
  • 10 minutes
  • 12 minutes
  • 1523 minutes
The solution of the inequation (x2)10000(x+1)253(x12)971(x+8)4x500(x3)75(x+2)930 is
  • (,2)[1,0)(0,12](3,)
  • (,2][1,0)[0,12][3,)
  • (,2][1,0](0,12][3,)
  • (,2)(1,0)(0,12)(3,)
A river flows with a speed more than the maximum speed with which a person can swim in still water. He intends to cross the river by the shortest possible path (i.e., he wants to reach the point on the opposite bank which directly opposite to the starting point). Which of the following is correct?
  • He should start normal to the river bank
  • He should start in such a way that he moves normal to the bank, relative to the bank
  • He should start in a particular (calculated) direction making an obtuse angle with the direction of water current
  • The man cannot cross the river in that way
The solution set of x for the inequations 2x+38 and 3x+112 is 
  • 52<x113
  • 52<x<113
  • 52x113
  • 52x113
A boat os mass 40kg is at rest. A dog of mass 4kg moves in the boat with a velocity of 10m/s. What is the velocity of boat(nearly)?
  • 4 m/s
  • -1 m/s
  • 8 m/s
  • 7 m/s
Find the set of all x for which2x2x2+5x+2>1x+1
  • xϵ(2,1)(23,12)
  • 2x1
  • 2x<1
  • 2<x1
A river is flowing from west to east at a speed of 5 m/min. A man on the south bank of the river, capable of swimming at 10 m/min in still water, wants to swim across the river in the shortest time. Finally he will move in a direction.
  • tan1(2)E of N
  • tan2(2)N of E
  • 30E of N
  • 60E of N
0:0:1


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Practice Class 12 Commerce Applied Mathematics Quiz Questions and Answers