GATE Questions

Q:

Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?

A) Saturday B) Sunday
C) Friday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

We know that,

After every 400 years, the same day occurs.
Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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14 3577
Q:

If today is Saturday, what will be the day 350 days from now  ?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

350 days, 350/7 = 50, no odd days,

so it will be a Saturday.

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21 3559
Q:

The sum of three consecutive multiples of 3 is 72. What is the second largest number ?

A) 27 B) 24
C) 21 D) 42
 
Answer & Explanation Answer: B) 24

Explanation:

Let the numbers be 3x, 3x + 3 and 3x + 6.
Then,
3x + (3x + 3) + (3x + 6) = 72
9x = 63
x = 7
Largest number = 3x + 6 = 27.

=> Second largest number = 27 - 3 = 24

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8 3556
Q:

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

A) 215 B) 315
C) 415 D) 115
 
Answer & Explanation Answer: B) 315

Explanation:
Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.
 

Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.
 

Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315
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11 3431
Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  ?

A) 215 B) 268
C) 254 D) 216
 
Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

 

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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3 3411
Q:

Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ?

A) 24 B) 23
C) 22 D) 25
 
Answer & Explanation Answer: A) 24

Explanation:

Given that the month begins on a Friday and has 31 days

 

Sundays = 3rd, 10th, 17th, 24th, 31st
=> Total Sundays = 5

 

Every second & fourth Saturday is holiday.
2nd & 4th Saturday in every month = 2

 

Total days in the month = 31

 

Total working days = 31 - (5 + 2) = 24 days.

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27 3375
Q:

The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?

A) 7 lts B) 14 lts
C) 98 lts D) 42 lts
 
Answer & Explanation Answer: B) 14 lts

Explanation:

To know the the measuring cylinder that can fill all the given capacities , they must be divisible by the required number.

98,182,266 all are divisible by 14
So  14 litres  is the largest cylinder that can fill all the given cylinders.

                                       (or)

The other method is take HCF of all given capacities i.e 98, 182 and 266.

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7 3282
Q:

If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month?

A) Tuesday B) Monday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: B) Monday

Explanation:

Dates on which Tuesday fall are 3,10,17, and 24

 

Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday

 

Required day of the month = Friday - 4 = Monday

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7 3272