GATE Questions

Q:

The product of a number and its multiplicative inverse is

A) 1 B) 0
C) -1 D) Infinity
 
Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

 

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 12844
Q:

If NAMO = 172 and OM = 56  then, SHIVAY = ?

A) 606 B) 415
C) 504 D) 404
 
Answer & Explanation Answer: C) 504

Explanation:

(COUNTING OF LETTERS)
NAMO = 14 + 1 + 13 + 15 = 43 x 4 = 172,  OM = 15 + 13 = 28 x 2 = 56,

SHIVAY = 19 + 8 + 9 + 22 + 1 + 25 = 84 x 6 = 504

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Filed Under: Alphabet Test
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33 12842
Q:

In a certain code 'Black' means Orange', 'Orange' means Violet','Violet' means 'Green', 'Green' means 'White' ,'White', means 'Yellow' and 'Yellow' means 'Sky blue', what is the colour of coal ?

A) Orange B) Sky Blue
C) Violet D) Yellow
 
Answer & Explanation Answer: A) Orange

Explanation:

The colour of coal is Black. In the code language ,black is called orange. So, the colour of coal is Orange.

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Filed Under: Coding and Decoding
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50 12833
Q:

An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ?

A) 10.25 % B) 8.16 %
C) 9.63 % D) 0.16 %
 
Answer & Explanation Answer: B) 8.16 %

Explanation:

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.

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Filed Under: Simple Interest
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4 12828
Q:

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

A) 5 degrees B) 10 degrees
C) 15 degrees D) 25 degrees
 
Answer & Explanation Answer: B) 10 degrees

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

 

Required angle = distance of hour hand = speed × time = 12× 20 =10 degrees.

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Filed Under: Clock puzzles
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58 12819
Q:

The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?

A) 14th element B) 9th element
C) 12th element D) 7th element
 
Answer & Explanation Answer: C) 12th element

Explanation:

If we consider the third term to be ‘x”
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.

Thus, 12th term of the A.P will be zero.

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Filed Under: Chain Rule
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35 12817
Q:

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ?

A) 1 kmph B) 3.2 kmph
C) 1.5 kmph D) 2 kmph
 
Answer & Explanation Answer: C) 1.5 kmph

Explanation:

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9 
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

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Filed Under: Boats and Streams
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16 12754
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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Filed Under: Bank Interview
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4 12717