Explore topic-wise MCQs in Mathematics.

This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is Rs. 30,000. The cost price of A and B are Rs. 400 and Rs. 900 respectively. If all the products have sold and per unit profit is Rs. 100 and Rs. 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and iso-profit line are respectively 

A. \[x+y=100;\ 4x+9y=300,\ 100x+120y=c\]
B. \[x+y\le 100;\ 4x+9y\le 300,\ x+2y=c\]
C. \[x+y\le 100;\ 4x+9y\le 300,\ 100x+120y=c\]
D. \[x+y\le 100;\ 9x+4y\le 300,\ x+2y=c\]
Answer» D. \[x+y\le 100;\ 9x+4y\le 300,\ x+2y=c\]
Discussion
2.

For the L.P. problem Min\[z=2{{x}_{1}}+3{{x}_{2}}\] such that \[-{{x}_{1}}+2{{x}_{2}}\le 4,\] \[{{x}_{1}}+{{x}_{2}}\le 6,\ \ {{x}_{1}}+3{{x}_{2}}\ge 9\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\]

A. \[{{x}_{1}}=1.2\]
B. \[{{x}_{2}}=2.6\]
C. \[z=10.2\]
D. All the above
Answer» E.
Discussion
3.

A Firm makes pents and shirts. A shirt takes 2 hour on machine and 3 hour of man labour while a pent takes 3 hour on machine and 2 hour of man labour. In a week there are 70 hour machine and 75 hour of man labour available. If the firm determine to make x shirts and y pents per week, then for this the linear constraints are 

A. \[x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\ge 75\]
B. \[x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\ge 75\]
C. \[x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\le 75\]
D. \[x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\le 75\]
Answer» E.
Discussion