GATE Questions

Q:

A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ?

A) 175 B) 345
C) 265 D) 300
 
Answer & Explanation Answer: D) 300

Explanation:

Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.
Now, n = 25 x 42 x 60 / 7 x 6 x 5
= 63000 / 210
= 300.
Therefore, 300 books can be in that box.

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Filed Under: Volume and Surface Area
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7 5101
Q:

How many laws of physics are there?

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

Explanation:

Physics has 5 laws. But the 3 laws of Newton has been clubbed together under one Law. Therefore there are 3 Newtons laws of Physics. They are ::

 

1. Newtons Laws of Motion

    a. First Law of Motion

    b. Second Law of Motion

    C. Third Law of Motion

 

2. Newtons Law of Cooling

 

3. Newtons Law of Gravitation.

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Filed Under: Physics
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10 5098
Q:

A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work?

Answer

Given A,B,C can complete a work in 15,20 and 30 respectively.


The total work is given by the LCM of 15, 20, 30 i.e, 60.


A's 1 day work = 60/15 = 4 units


B's 1 day work = 60/20 = 3 units


C's 1 day work = 60/30 = 2 units


(A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units


 Let B + C worked for x days = (3 + 2) x = 5x units


C worked for 2 days = 2 x 2 = 4 units


Then, 18 + 5x + 4 = 60


22 + 5x = 60


5x = 38


x = 7.6


 


Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

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Subject: Time and Work Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 5092
Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 145 B) 165
C) 175 D) 135
 
Answer & Explanation Answer: C) 175

Explanation:

Given that,

 working days = 5

 working hours = 8

 A man get rupess per hour is Rs.2.40

 So in one day the man get total rupees is 2.40 x 8 = 19.2

 So in 5 days week the man get total rupees is 19.2 x 5 = 96

 So in 4 week the man get total rupees is 96 x 4 = 384

 So the man worked for = 160hours in 4 weeks

 

 But given that the man earned Rs.432

 

 Hence remaning money is (432-384 = 48)which is earn by doing overtime work

 


Overtime hours  = 48/3.20 = 15


So total worked hours is = 15 + 160 = 175.

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Filed Under: Time and Work
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4 5091
Q:

Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator.

Output:

1.   95 + 84=128
2.   128 + 64=195
3.   912 + 43=942
4.   178 + 19=192

Question :

Which of the following pair of digits is unchanged ?

A) 9, 0, 3 B) 1, 3, 8
C) 7, 0, 1 D) 2, 4, 1
 
Answer & Explanation Answer: C) 7, 0, 1

Explanation:
0 1 2 3 4 5 6 7 8 9
0 1 4 8 2 6 5 7 3 9

Here pairs interchanged are

2, 4 

3, 8

5, 6

Unchanged are 0, 1, 7, 9

 

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Filed Under: Arithmetical Reasoning
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11 5084
Q:

Which atom has the largest radius?

A) Neon B) Francium
C) Helium D) Cesium
 
Answer & Explanation Answer: B) Francium

Explanation:

which_atom_has_the_largest_radius1537434800.gif image

In the periodic table, the atomic radius increases from top to bottom in the groups and it increases from right to left in the periods.

 

Francium is the atom with largest atomic radius. Helium is the atom with smallest radius.

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Filed Under: Chemistry
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3 5081
Q:

Find the Odd one out of the following Numbers?

A) 3 B) 19
C) 67 D) 133
 
Answer & Explanation Answer: D) 133

Explanation:

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

 

Hence, the odd number of the given numbers is 133.

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4 5078
Q:

Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)?

A) 132 km B) 264 km
C) 134 km D) 236 km
 
Answer & Explanation Answer: B) 264 km

Explanation:

Let the distance travelled by Tilak in first case or second case = d kms

Now, from the given data,

d/20 = d/22 + 36 min

=> d/20 = d/22 + 3/5 hrs

=> d = 132 km.

 

Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.

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