GATE Questions

Q:

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

A) 1700 B) 18!
C) 190 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

100C10 + 90C20 + 70C30 + 40C40 = 100!10!x20!x30!x40!

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Filed Under: Permutations and Combinations
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Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 

A) 15:07 hrs B) 15:20 hrs
C) 15:05 hrs D) 15:00 hrs
 
Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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Q:

In preparing a bank reconciliation, outstanding checks are

A) Deducted from the balance sheet B) Added to the bank balance
C) Deducted from the bank balance D) Added to the balance sheet
 
Answer & Explanation Answer: A) Deducted from the balance sheet

Explanation:

If an outstanding check of the previous month clears the bank (is paid by the bank) in the current month, you simply remove that check from the list of outstanding checks.

If an outstanding check of the previous month does not clear the bank in the current month, the check will remain on the list of outstanding checks until the month that it does clear the bank.

In the bank reconciliation process, the total amount of the outstanding checks is deducted from the balance appearing on the bank statement.

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Q:

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A) 28 mts B) 54 mts
C) 24 mts D) 50 mts
 
Answer & Explanation Answer: D) 50 mts

Explanation:

Let the length of each train be x mts.

Then, distance covered = 2x mts.

Relative speed = 36 - 26 = 10 km/hr.

= 10 x 5/18 = 25/9 m/sec.

2x/36 = 25/9 => x = 50 mts.

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Filed Under: Problems on Trains
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Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15%  ?

A) 51.32 % B) 49.23 %
C) 48.4 % D) 46.8 %
 
Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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Filed Under: Profit and Loss
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17 8978
Q:

Which acid is produced when milk gets sour?

A) Lactic acid B) Acetic acid
C) Tartaric acid D) Butyric acid
 
Answer & Explanation Answer: A) Lactic acid

Explanation:
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Filed Under: Chemistry
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Q:

Yellow color of urine is due to presence of

A) Bile juice B) Urochrome
C) Lymph D) Cholesterol
 
Answer & Explanation Answer: B) Urochrome

Explanation:

Yellow_color_of_urine_is_due_to_presence_of1554294141.jpg image

 

  • The yellow color of urine is due to the presence of a yellow pigment, urochrome.
  • The color of normal urine is usually light yellow to amber.
  • Generally the greater the solute volume the deeper the color.
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Q:

The modulus of elasticity for mild steel is approximately equal to

A) 210 kN/mm2 B) 100 kN/mm2
C) 80 kN/mm2 D) 10 kN/mm2
 
Answer & Explanation Answer: A) 210 kN/mm2

Explanation:

It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material.

The modulus of elasticity is defined as:

 

Modulus of elasticity = Stress / Strain

 

There are three types of moduli. They are :

(a) the Young Modulus - tensile and compression longitudinal stress

(b) the shear modulus - a shearing stress

(c) the bulk modulus - volume changes of the specimen.

 

mod-compressor1528180544.jpg image

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Filed Under: Physics
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