A rationalising factor of

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A rationalising factor of is -

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After measuring 120 m of a rope, it was discovered that the

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After measuring 120 m of a rope, it was discovered that the measuring metre rod was there centimetres longer. The true length of the rope measured is-

A121 m 20 cm

B123 m 60 cm

C123 m

D116 m 40 cm

Nithin K ? Nov 20 '2016 at 19:30

Answer is : 123 m 60 cm

Explanation:

Geven Data,
The length of the rod = 3 cm
To measure 120 m , Rod is apply by 120 times .
Therefore, total length that is measure by longer part = 120 x 3
= 360 cm = 3.60 m (∵ 100cm = 1m)
Then, the actual length of rope = 120m + 3.6m
= 123 m 60 cm
Hence, the answer is 123 m 60 cm.

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A 2-digit number is 3 times the sum of its digits. If 45 is

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A 2-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of digits of the number is-

A11

B9

C7

D5

Nithin K ? Nov 20 '2016 at 19:27

Answer is : 9

Explanation:

A 2-digit number is 3 times the sum of its digits.
10y + x = 3(x + y)
10y + x = 3x + 3y
2x - 7y = 0 .........................(i)

If 45 is added to the number, its digits are interchanged.
10y + x + 45 = 10x + y
9x - 9y = 45 .......................(ii)

On Solving equation (i) and (ii)
x= 7
y= 2
number = 27
sum of the digits =(x+y)=(7+2)= 9

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64329 is divided by a certain number. While dividing the num

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64329 is divided by a certain number. While dividing the numbers 175, 114 and 213 appear as three successive remainders. The divisor is-

A184

B224

C234

D296

Nithin K ? Nov 20 '2016 at 19:24

Answer is : 234

Explanation:

There are 3 remainders and they are 3 digit numbers so it is evident that the divisor is also 3 digit number.
We have three remainders, means the number comprising of the first digits i.e. 643 was divided first and we got 175 as the remainder.
Now according to DIVIDEND = DIVISOR x QUOTIENT + REMAINDER
=> DIVISOR x QUOTIENT = DIVIDEND – REMAINDER
=> DIVISOR x QUOTIENT = 643 – 175 = 468

Now Take The Options One by one
468 is not divisible by 184
468 is not divisible by 224
468 is not divisible by 296
We see that 468 is divisible by 234 only among all the answer options; so 234 is the divisor we need.

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is equal to

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is equal to

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Out of seven given numbers, the average of the first four nu

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Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is

A3

B4

C7

D11

Nithin K ? Nov 20 '2016 at 19:20

Answer is : 11

Explanation :

Since the average of first four numbers is 4, 
the sum of first four numbers is 4*4 = 16
a1 + a2 + a3 + a4 =16 ..................(i)

Since the average of the last four numbers is 4, 
the sum of the last four numbers is 4*4 = 16
a4 + a5 + a6 + a7 = 16...................(ii)

Add (i) and (ii) and re-group. You will get
(a1 + a2 + a3 + a4 + a5 + a6 + a7) + a4 = 32 .......(iii)

Since the average of the seven numbers is 3, their sum is 3*7 = 21
Apply This Sum in eqation (iii)

we get,
21 + a4 = 32
a4 = 32 - 21
a4 = 11

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