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Latest Exam Question (Objective Questions), MCQ in English

Subjects : Reasoning, Aptitude, English, General Knowledge

Question Bank Animal Husbandry Department, Maharashtra (AHDM) Livestock Supervisor Exam
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Reasoning

Question 1Single Answer
Passage :
A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminum of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square.
                      
The proportion of the sheet area that remains after punching is: 
  1. A
    0
  2. B
  3. C
  4. D
  5. E
Question 2Single Answer
Passage :
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs 1200 and Rs 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400.
What is the weight of Praja’s luggage?
    
  1. A
    20 kg    
  2. B
    25 kg    
  3. C
    30 kg      
  4. D
    35 kg      
  5. E
    40 kg
Question 3Single Answer
Passage :
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs 1200 and Rs 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400.
What is the free luggage allowance?
  1. A
    10 kg 
  2. B
    15 kg   
  3. C
    20 kg   
  4. D
    25 kg         
  5. E
    30 kg
Question 4Single Answer
Passage :
Direction : Answer the following question based on the information given below:
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
               — Male (M) Vegetarian (V)
Class 12 0.6  
Class 11 0.55 0.5
Secondary Section   0.55
Total 0.475 0.53
What is the percentage of vegetarian students in Class 12?
 
  1. A
    40
  2. B
    45
  3. C
    50
  4. D
    55
  5. E
    60
Question 5Single Answer
Passage :
Direction : Answer the following question based on the information given below:
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
               — Male (M) Vegetarian (V)
Class 12 0.6  
Class 11 0.55 0.5
Secondary Section   0.55
Total 0.475 0.53
In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male non-vegetarians?
 
  1. A
    less than 8 
  2. B
    10             
  3. C
    12         
  4. D
    14         
  5. E
    16
Question 6Single Answer
Passage :
Direction : Answer the following question based on the information given below:
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
               — Male (M) Vegetarian (V)
Class 12 0.6  
Class 11 0.55 0.5
Secondary Section   0.55
Total 0.475 0.53
What is the percentage of male students in the secondary section?
 
  1. A
    40
  2. B
    45
  3. C
    50
  4. D
    55
  5. E
    60
Question 7Single Answer
Passage :
Direction: Answer the following question based on the information given below:
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
               — Male (M) Vegetarian (V)
Class 12 0.6  
Class 11 0.55 0.5
Secondary Section   0.55
Total 0.475 0.53
In the Secondary Section, 50% of the students are vegetarian males. Which of the following state­ments is correct?
      
  1. A
    Except vegetarian males, all other groups have same number of students.
         
  2. B
    Except non-vegetarian males, all other groups have same number of students.
         
  3. C
    Except vegetarian females, all other groups have same number of students.
          
  4. D
    Except non-vegetarian females, all other groups have same number of students.
         
  5. E
    All of the above groups have same number of students
Question 8Single Answer
Passage :
Direction  : Answer the following question based on the information given below.
The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product. The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions.
 
  Year 2002 Year 2003 Year 2004 Year 2005 Year 2006
Volume of production 1000 900 1100 1200 1200
Cost (?)
Material 50,000 45,100 55,200 59,900 60,000
Labour 20,000 18,000 22,100 24,150 24,000
Consumables 2,000 2,200 1,800 1,600 1,400
Rent of building 1,000 1,000 1,100 1,100 1,200
Rates and taxes 400 400 400 400 400
Repair and maintenance expenses 800 820 780 790 800
Operating cost of machines 30,000 27,000 33,500 36,020 36,000
Selling and marketing expenses 5,750 5,800 5,800 5,750 5,800
What is the approximate cost per unit in rupees, if the company produces and sells 1400 units in the year 2007?
 
  1. A
    104        
  2. B
    107          
  3. C
    110        
  4. D
    115        
  5. E
    116
Question 9Single Answer
Passage :
Direction : Answer the following question based on the information given below.
The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product. The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions.
 
  Year 2002 Year 2003 Year 2004 Year 2005 Year 2006
Volume of production 1000 900 1100 1200 1200
Cost (?)
Material 50,000 45,100 55,200 59,900 60,000
Labour 20,000 18,000 22,100 24,150 24,000
Consumables 2,000 2,200 1,800 1,600 1,400
Rent of building 1,000 1,000 1,100 1,100 1,200
Rates and taxes 400 400 400 400 400
Repair and maintenance expenses 800 820 780 790 800
Operating cost of machines 30,000 27,000 33,500 36,020 36,000
Selling and marketing expenses 5,750 5,800 5,800 5,750 5,800
What is the minimum number of units that the company needs to produce and sell to avoid any loss?
 
  1. A
    313        
  2. B
    350         
  3. C
    384            
  4. D
    747                
  5. E
    928
Question 10Single Answer
Passage :
Direction : Answer the following question based on the information given below.
The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product. The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions.
 
  Year 2002 Year 2003 Year 2004 Year 2005 Year 2006
Volume of production 1000 900 1100 1200 1200
Cost (?)
Material 50,000 45,100 55,200 59,900 60,000
Labour 20,000 18,000 22,100 24,150 24,000
Consumables 2,000 2,200 1,800 1,600 1,400
Rent of building 1,000 1,000 1,100 1,100 1,200
Rates and taxes 400 400 400 400 400
Repair and maintenance expenses 800 820 780 790 800
Operating cost of machines 30,000 27,000 33,500 36,020 36,000
Selling and marketing expenses 5,750 5,800 5,800 5,750 5,800
Given that the company cannot sell more than 1700 units, and it will have to reduce the price by Rs 5 for all units, if it wants to sell more than 1400 units, what is the maximum profit, in rupees, that the company can earn?
 
  1. A
    25,400      
  2. B
    24,400     
  3. C
    31,400   
  4. D
    32,900   
  5. E
    32,000
Question 11Single Answer
Passage :
Direction : Answer the following question based on the information given below.
The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product. The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions.
 
  Year 2002 Year 2003 Year 2004 Year 2005 Year 2006
Volume of production 1000 900 1100 1200 1200
Cost (?)
Material 50,000 45,100 55,200 59,900 60,000
Labour 20,000 18,000 22,100 24,150 24,000
Consumables 2,000 2,200 1,800 1,600 1,400
Rent of building 1,000 1,000 1,100 1,100 1,200
Rates and taxes 400 400 400 400 400
Repair and maintenance expenses 800 820 780 790 800
Operating cost of machines 30,000 27,000 33,500 36,020 36,000
Selling and marketing expenses 5,750 5,800 5,800 5,750 5,800
If the company reduces the price by 5%, it can produce and sell as many units as it desires. How many units the company should produce to maximize its profit?
 
  1. A
    1400           
  2. B
    1600   
  3. C
    1800         
  4. D
    1900   
  5. E
    2000
Question 12Single Answer
Passage :
Direction : Answer the following question based on the information given be­low. The table below shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.
Procedure                               Comparative costs in USA and some Asian Countries (in US Dollars)
  USA India Thailand Singapore Malaysia
Heart Bypass 130000 10000 11000 18500 9000
Heart Valve Replacement 160000 9000 10000 12500 9000
Angioplasty 57000 11000 13000 13000 11000
Hip Replacement 43000 9000 12000 12000 10000
Hysterectomy 20000 3000 4500 6000 3000
Knee Replacement 40000 8500 10000 13000 8000
Spinal Fusion 62000 5500 7000 9000 6000
 
The equivalent of one US Dollar in the local currencies is given below.
1 US Dollar Equivalent
India 40.928 Rupees
Malaysia 3.51 Ringits
Thailand 32.89 Bahts
Singapore 1.53 $ Dollars
A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in the table below.
Procedure               Comparative costs of poor quality in USA and some Asian countries
(in US Dollars)
 
  USA India Thailand Singapore Malaysia
Heart Bypass 0 3 3 2 4
Heart Valve Replacement 0 5 4 5 5
Angioplasty 0 5 5 4 6
 
Procedure               Comparative costs of poor quality in USA and some Asian countries
                                                                                              (in US Dollars)
  USA India Thailand Singapore Malaysia
Hip Replacement 0 7 5 5 8
Hysterectomy 0 5 6 5 4
Knee Replacement 0 9 6 4 4
Spinal Fusion 0 5 6 5 6
The rupee value increases to Rs 35 for a US Dollar, and other things including quality, remain the same. What is the approximate difference in cost, in US Dollars, between Singapore and India for a Spinal Fusion, taking this change into account?
 
  1. A
    700          
  2. B
    2500      
  3. C
    4500           
  4. D
    8000      
  5. E
    No difference
Question 13Single Answer
Passage :
Direction : Answer the following question based on the information given be­low. The table below shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.
Procedure                               Comparative costs in USA and some Asian Countries (in US Dollars)
  USA India Thailand Singapore Malaysia
Heart Bypass 130000 10000 11000 18500 9000
Heart Valve Replacement 160000 9000 10000 12500 9000
Angioplasty 57000 11000 13000 13000 11000
Hip Replacement 43000 9000 12000 12000 10000
Hysterectomy 20000 3000 4500 6000 3000
Knee Replacement 40000 8500 10000 13000 8000
Spinal Fusion 62000 5500 7000 9000 6000
 
The equivalent of one US Dollar in the local currencies is given below.
1 US Dollar Equivalent
India 40.928 Rupees
Malaysia 3.51 Ringits
Thailand 32.89 Bahts
Singapore 1.53 $ Dollars
A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in the table below.
Procedure               Comparative costs of poor quality in USA and some Asian countries
(in US Dollars)
 
  USA India Thailand Singapore Malaysia
Heart Bypass 0 3 3 2 4
Heart Valve Replacement 0 5 4 5 5
Angioplasty 0 5 5 4 6
 
Procedure               Comparative costs of poor quality in USA and some Asian countries
                                                                                              (in US Dollars)
  USA India Thailand Singapore Malaysia
Hip Replacement 0 7 5 5 8
Hysterectomy 0 5 6 5 4
Knee Replacement 0 9 6 4 4
Spinal Fusion 0 5 6 5 6
Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a hysterectomy done in India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for one-way travel between Thailand and India.
 
  1. A
    23500           
  2. B
    40500     
  3. C
    57500          
  4. D
    67500      
  5. E
    75000
Question 14Single Answer
Passage :
Direction : Answer the following question based on the information given be­low. The table below shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.
Procedure                               Comparative costs in USA and some Asian Countries (in US Dollars)
  USA India Thailand Singapore Malaysia
Heart Bypass 130000 10000 11000 18500 9000
Heart Valve Replacement 160000 9000 10000 12500 9000
Angioplasty 57000 11000 13000 13000 11000
Hip Replacement 43000 9000 12000 12000 10000
Hysterectomy 20000 3000 4500 6000 3000
Knee Replacement 40000 8500 10000 13000 8000
Spinal Fusion 62000 5500 7000 9000 6000
 
The equivalent of one US Dollar in the local currencies is given below.
1 US Dollar Equivalent
India 40.928 Rupees
Malaysia 3.51 Ringits
Thailand 32.89 Bahts
Singapore 1.53 $ Dollars
A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in the table below.
Procedure               Comparative costs of poor quality in USA and some Asian countries
(in US Dollars)
 
  USA India Thailand Singapore Malaysia
Heart Bypass 0 3 3 2 4
Heart Valve Replacement 0 5 4 5 5
Angioplasty 0 5 5 4 6
 
Procedure               Comparative costs of poor quality in USA and some Asian countries
                                                                                              (in US Dollars)
  USA India Thailand Singapore Malaysia
Hip Replacement 0 7 5 5 8
Hysterectomy 0 5 6 5 4
Knee Replacement 0 9 6 4 4
Spinal Fusion 0 5 6 5 6
A US citizen is hurt in an accident and requires an angioplasty, hip replacement and a knee re­placement. Cost of foreign travel and stay is not a consideration since the government will take care of it. Which country will result in the cheapest package, taking cost of poor quality into ac­count?
 
  1. A
    India              
  2. B
    Thailand    
  3. C
    Malaysia   
  4. D
    Singapore 
  5. E
    USA
Question 15Single Answer
Passage :
Direction : Answer the following question based on the information given be­low. The table below shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.
Procedure                               Comparative costs in USA and some Asian Countries (in US Dollars)
  USA India Thailand Singapore Malaysia
Heart Bypass 130000 10000 11000 18500 9000
Heart Valve Replacement 160000 9000 10000 12500 9000
Angioplasty 57000 11000 13000 13000 11000
Hip Replacement 43000 9000 12000 12000 10000
Hysterectomy 20000 3000 4500 6000 3000
Knee Replacement 40000 8500 10000 13000 8000
Spinal Fusion 62000 5500 7000 9000 6000
 
The equivalent of one US Dollar in the local currencies is given below.
1 US Dollar Equivalent
India 40.928 Rupees
Malaysia 3.51 Ringits
Thailand 32.89 Bahts
Singapore 1.53 $ Dollars
A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in the table below.
Procedure               Comparative costs of poor quality in USA and some Asian countries
(in US Dollars)
 
  USA India Thailand Singapore Malaysia
Heart Bypass 0 3 3 2 4
Heart Valve Replacement 0 5 4 5 5
Angioplasty 0 5 5 4 6
 
Procedure               Comparative costs of poor quality in USA and some Asian countries
                                                                                              (in US Dollars)
  USA India Thailand Singapore Malaysia
Hip Replacement 0 7 5 5 8
Hysterectomy 0 5 6 5 4
Knee Replacement 0 9 6 4 4
Spinal Fusion 0 5 6 5 6
Taking the cost of poor quality into account, which country/countries will be the most expensive for knee replacement?
 
  1. A
    India
  2. B
    Thailand  
  3. C
    Malaysia   
  4. D
    Singapore
     
  5. E
    India and Singapore
Question 16Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275 
         
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
What is the lowest price, in rupees, a passenger has to pay for travelling by the shortest route from A to J?
 
  1. A
    2275      
  2. B
    2850           
  3. C
    2890             
  4. D
    2930  
  5. E
    3340
Question 17Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275
         
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
The company plans to introduce a direct flight between A and J. Then market research results indicate that all its existing passengers traveling between A and J will use this direct flight if it is priced 5% below the minimum price that they pay at present. What should the company charge approximately, in rupees, for this direct flight?
  1. A
    1991
  2. B
    2161 
  3. C
    2707 
  4. D
    2745
  5. E
    2783
Question 18Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275
         
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
If the airports C, D and H are close down owing to security reasons, what would be the minimum price, in rupees, to be paid by a passenger travelling from A to J?
 
  1. A
    2275  
  2. B
    2615           
  3. C
    2850           
  4. D
    2945          
  5. E
    3190
Question 19Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275
         
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
If the prices include a margin of 10% over the total cost that the company incurs, what is the minimum cost per kilometer that the company incurs in flying from A to J?
 
  1. A
    0.77  
  2. B
    0.88             
  3. C
    0.99      
  4. D
    1.06           
  5. E
    1.08
Question 20Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275
         
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometer for the company?
 
  1. A
    2170 
  2. B
    2180 
  3. C
    2315 
  4. D
    2350
  5. E
    2390
Question 21Single Answer
Passage :
Direction : Answer the following question based on the information given below. A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance be­tween a pair of airports and the corresponding price by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the Airports (km.) Price(Rs)
1 A B 560 670
2 A C 790 1350
3 A               D 850 1250
4 A E 1245 1600
5 A F 1345 1700
6 A G 1350 2450
7 A H 1950 1850
8 B C 1650 2000
9 B H 1750 1900
10 B I 2100 2450
11 B J 2300 2275 
12 C D 460 450
13 c F 410 430
14 c G 910 1100
15 D E 540 590
16 D F 625 700
17 D G 640 750
18 D H 950 1250
19 D J 1650 2450
20 E F 1250 1700
21 E G 970 1150
22 E H 850 875
23 F G 900 1050
24 F I 875 950
25 F J 970 1150
26 G I 510 550
27 G J 830 890
28 H I 790 970
29 H I 400 425
30 I J 460 540
 
If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometer for the company?
 
  1. A
    2170
  2. B
    2180
  3. C
    2315 
  4. D
    2350 
  5. E
    2390
Question 22Single Answer
Passage :
Direction : Answer the following question based on the information given below.
A health-drink company’s R & D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q,R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.
       
Composition
Ingredient Carbohydrate % Protein % Fat % Minerals %
O 50 30 10 10
P 80 20 0 0
Q 10 30 50 10
R 5 50 40 5
S 45 50 0 5
The company is planning to launch a balanced diet required for growth needs of adolescent chil­dren. This diet must contain a t least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?
 
  1. A
    O and P   
  2. B
    R and S     
  3. C
    P and S 
  4. D
    Q and R  
  5. E
    O and S
Question 23Single Answer
Passage :
Direction : Answer the following question based on the information given below.
A health-drink company’s R & D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q,R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.
       
Composition
Ingredient Carbohydrate % Protein % Fat % Minerals %
O 50 30 10 10
P 80 20 0 0
Q 10 30 50 10
R 5 50 40 5
S 45 50 0 5
For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?
 
  1. A
    One    
  2. B
    Two        
  3. C
    Three         
  4. D
    Four      
  5. E
    None
Question 24Single Answer
Passage :
Direction : Answer the following question based on the information given below.
A health-drink company’s R & D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q,R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.
       
Composition
Ingredient Carbohydrate % Protein % Fat % Minerals %
O 50 30 10 10
P 80 20 0 0
Q 10 30 50 10
R 5 50 40 5
S 45 50 0 5
Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients.
 
  1. A
    P and Q    
  2. B
    P and S      
  3. C
    P and R       
  4. D
    Q and S      
  5. E
    R and S
     
Question 25Single Answer
Passage :
Direction : Answer the following question based on the information given below.
A health-drink company’s R & D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q,R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.
       
Composition
Ingredient Carbohydrate % Protein % Fat % Minerals %
O 50 30 10 10
P 80 20 0 0
Q 10 30 50 10
R 5 50 40 5
S 45 50 0 5
In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?
 
  1. A
    2:1:3  
  2. B
    4: 1: 2     
  3. C
    2: 1: 4        
  4. D
    3: 1: 2       
  5. E
    4: 1: 1

Aptitude

Question 26Single Answer
The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n =1, 2...100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15 n, on the nth day of 2007 (n= 1, 2.....365). On which date in 2007 with the prices of these two varieties of tea be equal?
     
  1. A
    May21      
  2. B
    April 11  
  3. C
    May 20         
  4. D
    April 10       
  5. E
    June 30
Question 27Single Answer
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?
 
  1. A
    - 119           
  2. B
    - 159            
  3. C
    - 110         
  4. D
    - 180           
  5. E
    – 105
Question 28Single Answer
Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
 
  1. A
    Between 0 and 90                    
  2. B
    Between 0 and 30
     
  3. C
    Between 0 and 60              
  4. D
    Between 0 and 75
     
  5. E
    Between 0 and 45
Question 29Single Answer
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
 
  1. A
    3          
  2. B
    2          
  3. C
    4         
  4. D
    0             
  5. E
    1
Question 30Single Answer
In a tournament, there are n teams T1, T2, ………Tn with n>5 Each team consists of k players, k > 3. The following pairs of teams have one player, in common:
         T1 and T2, T2  and T3, ………..Tn-1 and Tn, and Tn and T1.  No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n teams together?
    
  1. A
    n(k-1)   
  2. B
    k(n- 1)      
  3. C
    n(k- 2)     
  4. D
    k(n-2)  
  5. E
    (n -1)            (k-1)
Question 31Single Answer
Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?
  1. A
    17   
  2. B
    16          
  3. C
    18                
  4. D
    15        
  5. E
    19
Question 32Single Answer
How many pairs of positive integers m, n satisfy 1/m +4/n = 1/12 where n is an odd integer less than 60?
 
  1. A
    6                
  2. B
    4               
  3. C
    7             
  4. D
    5       
  5. E
    3
Question 33Single Answer
A confused bank teller transposed the rupees and paisa when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
   
  1. A
    Over Rupees 13 but less than Rupees 14
        
  2. B
    Over Rupees 7 but less than Rupees 8
      
  3. C
    Over Rupees 22 but less than Rupees 23
         
  4. D
    Over Rupees 18 but less than Rupees 19
     
  5. E
    Over Rupees 4 but less than Rupees 5
Question 34Single Answer
Consider the set S = {2, 3, 4 ... 2n + 1}, where n is a positive integer large than 2007. Define X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X - Y?
  1. A
    0
  2. B
    1
  3. C
  4. D
    8
  5. E
    2008
Question 35Single Answer
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight member joint family is nearest to:
 
  1. A
    23 years         
  2. B
    22 years       
  3. C
    21 years        
  4. D
    25 years           
  5. E
    24 years
Question 36Single Answer
A function f(x) satisfies f (1) = 3600, and f (I) + f (2) + ... +f(n) = n2f (n), for all positive integers n > 1. What is the value of f(9)?
  
  1. A
    80    
  2. B
    240       
  3. C
    200         
  4. D
    100         
  5. E
    120
Question 37Single Answer
Consider a sequence S whose nth term Tn defined as 1 + 3/n, where n= 1, 2... Find the product of all the consecutive terms of S starting from the 4th term to the 60th term.
   
  1. A
    1980.55     
  2. B
    1985.55                
  3. C
    1990.55    
  4. D
    1975.55
Question 38Single Answer
Let P = {2, 3, 4... 100} and Q = {101, 102, 103... 200}. How many elements of Q are there such that they do not have any element of P as a factor?
  
  1. A
    20           
  2. B
    24                       
  3. C
    23                   
  4. D
    21
Question 39Single Answer
What is the sum of all the 2-digit numbers which leave a remainder of 6 when divided by 8?
 
  1. A
    612         
  2. B
    594                     
  3. C
    324                    
  4. D
    872
Question 40Single Answer
Which of the terms 21/3, 31/4, 41/3, 61/8 and 101/12 is the largest?
  1. A
    21/3         
  2. B
    31/4                                           
  3. C
    41/6                 
  4. D
    101/12
Question 41Single Answer
If the roots of the equation (a2 + b2) x2 + 2 (b2 + c2) x + (b2 + c2) = 0 are real, which of the following must hold true?
  
  1. A
    c2 ≥ a2           
  2. B
    c4 ≥ a2(b2+c2)          
  3. C
    b2 ≥ c2              
  4. D
    a4 ≤ b2(a2+c2)
Question 42Single Answer
Find the remainder of 21040 divided by 131.
 
  1. A
    1                       
  2. B
    3                 
  3. C
    5                
  4. D
    7
Question 43Single Answer
In the figure below, ∠MON = ∠MPO = ∠NQO = 90° and OQ is the bisector of ∠MON and QN =10, OR = 40/7. Find OP.
  1. A
    4.8           
  2. B
    4.5             
  3. C
    4          
  4. D
    5
Question 44Single Answer
If (a2 + b2), (b2 + c2) and (a2 + c2) are in geometric progression, which of the following holds true?
  1. A
    (a2 + b2), (b2 + c2) 
  2. B
  3. C
  4. D
Question 45Single Answer
P is a prime and m is a positive integer. How many solutions exist for the equation p6 - p = (m2 + m + 6) (p - 1)?
   
  1. A
    0                    
  2. B
    1               
  3. C
    2         
  4. D
    Infinite
Question 46Single Answer
A certain number written in a certain base is 144. Which of the following is always true?
      I. Square root of the number written in the same base is 12.
      II. If base is increased by 2, the number becomes 100.
     
  1. A
    Only I        
  2. B
    Only II  
  3. C
    Neither I nor II                  
  4. D
    Both I and II
Question 47Single Answer
A rectangle is drawn such that none of its sides has length greater than a. All lengths less than a are equally likely. The chance that the rectangle has its diagonal greater than a is (in terms of %)
    
  1. A
    29.3%                
  2. B
    21.5%   
  3. C
    66.66%              
  4. D
    33.33%
Question 48Single Answer
If x is a real number and [x] is the greatest integer less than or equal to x, then 3|x|+2-[x] =0. Will the above equation have any real root?
    
  1. A
    Yes                          
  2. B
    No
          
  3. C
    Will have real roots for x < 0    
  4. D
    Will have real roots for x > 0
Question 49Single Answer

  1. A
    I and II  
  2. B
    I and II
  3. C
    II and III
  4. D
    None of these
Question 50Single Answer
If α and β are the roots of the quadratic equation x2 - 10x +15 = 0, then find the quadratic equation whose roots are
  1. A
    15x +71x + 210 = 0                      
  2. B
    5x2 - 22x + 56 = 0
      
  3. C
    3x2 - 44x + 78 = 0                                
  4. D
    Cannot be determined
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