InterviewSolution
Saved Bookmarks
InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
If `veca and vecb` are two nonzero vectors such that `|vecaxxvecb|=veca.vecb` then find the angle between `veca and vecb.` |
| Answer» Correct Answer - `45^(@)` | |
| 102. |
Given an example to show that the releation `R={(a,b):aleb^(2)}` on the set R of all real numbers is not reflexive. |
| Answer» Correct Answer - `((1)/(2),(1)/(2))!inR` | |
| 103. |
A toy company manufactures two types of doll; a basic version doll; abasic version doll A and a deluxe version doll B. Each doll of type B takestwice as long to produce as one of type. A and the company would have time to,make a maximum of 2, 000 per day if it produces only the basic version. Thesupply of plastic is sufficient to produce 1500 dolls per day (both A and Bcombined). The deluxe version requires a fancy dress of which there are only600 per day available. If the company makes profit Rs. 3 and Rs. 5 per dollrespectively o doll A and doll B; how many of each should be produced per dayin order to maximize profit? |
|
Answer» given that total profit`= 3x+5y` `x+2y <= 2000` eqn(1) `x+y <= 1500` eqn(2) `y<= 600` also given that, `x>=0, y>=0` |
|
| 104. |
A factory makes two types of biscuit `B_(1)andB_(2)` that cost Rs. 145 and Rs. 160 per kg. respectively. The minimum quantities of flour, sugar and butter to be ordered for the for the factory are 600kg, 400 kg and 250 kg respectively to make the biscuits. Variety `B_(1)` requires 700 gms of flour, 200 gms of sugar and 100 gms. of butter to prepare 1 kg of biscuits. The variety `B_(2)` requires 600 gms of flour, 300 gms of sugar and 200 gms of butter to prepare 1 kg of biscuits. Formulate the above LPP to minimize the cost.A. Minimize `z=145x+160y` subject to `0.7x+0.6yge600,0.2x+0.3yge400,0.1x+0.2yge250,xge0,yge0`B. Minimize `z=145x+160y` subject to `0.7x+0.6yge600,0.2x+0.3yge400,0.1x+0.2yle250,xge0,yge0`C. Minimize `z=145x+160y` subject to `0.7x+0.6yge600,0.2x+0.3yle400,0.1x+0.2yge250,xge0,yge0`D. Minimize `z=145x+160y` subject to `0.7x+0.6yle600,0.2x+0.3yge400,0.1x+0.2yge250,xge0,yge0` |
| Answer» Correct Answer - A | |
| 105. |
An aeroplane can carry a maximum of 250 passengers. A profit of Rs. 1500 is made on each executive class ticket and a profit of Rs. 900 made on each economy class ticket. the airline reserves at least 30 seats ofr executive class. However at least 4 times as many passengers perfer to travel by economomy class than by excutive class. Formulate LPP in order to maximize the profit for the airline.A. Minimize `z=1500x+900y` subject to `x+yle250,xle30,yge4x,xge0,yge0`B. Minimize `z=1500x+900y` subject to `x+yle250,xge30,yge4x,xge0,yge0`C. Minimize `z=1500x+900y` subject to `x+yge250,xge30,yge4x,xge0,yge0`D. Minimize `z=1500x+900y` subject to `x+yge250,xge30,yge4x,xge0,yge0` |
| Answer» Correct Answer - B | |
| 106. |
A Man has 1500 to purchase rice and wheat. A bag of rice and a bag of wheat cost 180 and 120 respectively. He has a storage capacity of 10 bags only. He earns a profit or 11 and 8 per bag of rice and wheat respectively. How many bags of each must he buy to make maximum profit? |
| Answer» Correct Answer - 5 bages of each | |
| 107. |
Maximize : `z=3x+5y` Subject to : `x+4y le 24` `3x+y le 21` `x+y le 9` `x ge 0, y ge 0`A. 21B. 37C. 33D. 30 |
| Answer» Correct Answer - B | |