Aptitude and Reasoning Questions

Q:

A contractor  undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that  he needed to increase 5 additional  men every 2 days to complete the work in the time the client wanted it:

If the work was further increased by 50% but the contractor continues to increase the 5 workers o every 2 days then how many more days are required over the initial time specified by the  client.

A) 1 day B) 2 days
C) 5 days D) None of these
 
Answer & Explanation Answer: B) 2 days

Explanation:

Total work = 100+50 = 150man-days

In 8 days 100 man-days work  has been completed. Now on 9th and 10th day there will be 25 workers. So in 2 days they wll complete additional 50 man- days work. Thus the work requires 2 more days.

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Filed Under: Time and Work

15 12029
Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42 B) 36
C) 48 D) 24
 
Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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12 12028
Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1 : 2 : 3 B) 2 : 3 : 4
C) 3: 4 : 5 D) 4 : 5 : 6
 
Answer & Explanation Answer: B) 2 : 3 : 4

Explanation:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8.

Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x.

There is a proposal to increase these seats by 40%, 50% and 75% respectively.

Then Seats for Mathematics, Physics and Biology in a school will be

1.4 X 5x, 1.5 X 7x and 1.75 X 8x and

ratio will be 7 : 10.5 : 14  => 2:3:4.

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Filed Under: Ratios and Proportions
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21 12025
Q:

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A) 276 B) 299
C) 322 D) 345
 
Answer & Explanation Answer: C) 322

Explanation:

Clearly, the numbers are (23 x 13) and (23 x 14).

 

 

 

 Larger number = (23 x 14) = 322.

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12 12020
Q:

Study the pie - chart carefully to answer the questions below :

The Pie chart shows the percentage quantity of fruits at two fruit shops A and B

1. What is the difference between the quantity of Guava at Shop B and that at Shop A ?

1. 40 Kg         2. 45 kg         3. 35 kg         4. 30 kg         5. 50 kg

 

2. If the price of Mango is Rs. 30 per kg, Apple Rs.40 per kg and orange Rs.20 per kg, then what is the ratio of their costs at Shop A?

1. 1 : 4 : 6      2. 9 : 8 : 5      3. 3 : 7 : 8      4. 5 : 4 : 1      5. 2 : 5 : 7

 

3. The quantity of Mango at Shop B is what per cent of the quantity of Mango at Shop A ?

1. 20%           2. 220%         3. 120%         4. 80%            5. 180%

 

4. If the price of Mango is Rs.30 per kg, Apple Rs. 40 per kg, orange Rs.20 per kg, Other fruits Rs.15 per kg and Guava Rs. 18 per kg for both Shop A and B, then what is the difference between the cost of all fruits at Shop A and that at Shop B ?

1. Rs.7200     2. Rs.3500     3. Rs. 6400     4. Rs.5100     5. Rs.4600

 

5. The quantity of Orange at Shop A is what percent more than that of Apple at Shop B ?

1. 161.52%     2. 195.5%     3. 182%         4. 190%         5. 171.42%

Answer

1. Answer : 1


Explanation :  Quantity of Guava at Shop A = 1200×10100 = 120 kg 


Quantity of Guava at Shop B = 1000×16100= 160 kg


Therefore, Required difference = 160 - 120 = 40 kg


 


2. Answer : 2


Explanation : Cost of Mango at Shop A = 30×1200×24100= Rs. 8640 


Cost of Apple = 40×1200×16100 = Rs. 7680 


Cost of Orange = 20×1200×20100 = Rs.4800 


Therefore, Required Ratio = 8640 : 6780 : 4800  = 9 : 8 : 5 


 


3. Answer : 3 


Explanation : Quantity of Mango at Shop B = 1000×24100 = 240 kg 


Quantity of Mango at Shop A =1200×24100 = 288 kg


 Therefore, Req % = 288×100240 = 120% of the quantity of Mango at Shop A


 


4. Answer : 4 


Explanation : Cost of total fruits at Shop A = Cost of Mango + Cost of Apple + Cost of Guava + Cost of orange + Cost of other fruits


 =1200×24100×30 + 1200×16100×40 + 1200×10100×18 + 1200×20100×20 + 1200×30100×15 


= Rs. 28680 


Cost of Total Fruits at Shop B


=1000×24100×30 + 1000×14100×40 + 1000×16100×18 + 1000×20100×20 + 1000×26100×15


= 7200 + 5600 + 2880 + 4000 + 3900 


= Rs. 23580


Therefore, Req.difference = 28680 - 23580 = Rs.5100


 


5. Answer : 5


Explanation: Quantity of Orange at Shop A = 1200×20100 = 240 kg 


Quantity of Apple at Shop B =1000×14100 = 140 kg


 Therefore, Req % = 240×100140 = 171.42% more than the quantity of Apple at Shop B.

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Subject: Pie Charts

15 12019
Q:

A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ?

A) Rs. 4 B) Rs. 3
C) Rs. 5 D) Rs. 1
 
Answer & Explanation Answer: B) Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 =  Rs.3

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Filed Under: Profit and Loss
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11 12015
Q:

If y/(x - z) = (y + x)/z = x/y then find z : y : x ?

A) 1:2:3 B) 3:2:4
C) 4:3:2 D) 2:3:4
 
Answer & Explanation Answer: B) 3:2:4

Explanation:

Given, y/(x - z) = (y + x)/z = x/y
yz = xy + x2 - yz - xz ....(1)
Also xy = yx-z x2 -xz = y2 ....(2)
Using (1) and (2), we get yz = xy - yz + y2
2yz = xy + y2
2z = x + y
Only option (B) satisfies the equation.

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Filed Under: Ratios and Proportions
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20 11995
Q:

Which of the following is fifth to the right of the twelth digit from the right end of the below arrangement?

1 8 5 9 4 7 1 2 5 8 3 6 5 9 2 7 6 4 5 2 9 2 6 4 1 2 3 5 1 4 2 8 3

A) 3 B) 1
C) 2 D) 7
 
Answer & Explanation Answer: A) 3

Explanation:

5th to the right of 12th digit from the right end means (12 - 5 = ) 7th digit from the right.ie 3.

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13 11989