In an examination 65% of the total examinees passed. If the

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In an examination 65% of the total examinees passed. If the number of failures is 420, the total number of examinees are.

A1500

B1200

C1000

D1625

Akilesh Kharvi ? Nov 5 '2016 at 10:8

Answer is: 1200
Percentage of failures = (100 − 65)% = 35%
Let the total number of examinees be x. 
Then,
35% of x = 420 
⇒ 35 * 100 * x = 420
⇒ x = 420 * 100 *35 
=> 1200

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If 7 : 8 :: x : 24, value of x is

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If 7 : 8 :: x : 24, value of x is

A20

B21

C20.5

D21.6

Akilesh Kharvi ? Nov 5 '2016 at 10:6

Answer is : 21

If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. Then, the product of extreme terms (i.e. p × s) is equal to the product of middle terms (i.e. r × s). 
Therefore, p : q : : r : s ⇒ ps = qr

According to the given statement,
7 : 8 = x : 24
⇒ 8*x= 7 × 24
⇒ x = \((7 × 24)\over8\)
⇒ x = 21

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A reduction of 20% in the price of sugar enables a housewife

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A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 120. What is original price per kg of sugar.

ARs. 5 per kg

BRs. 6.15 per kg

CRs. 5.65 per kg

DRs. 6.20 per kg

Akilesh Kharvi ? Nov 5 '2016 at 9:54

Answer is : Rs. 5 per kg
It is based on inverse proportion property

Reduction in price 20% amount of sugar will increase 25%.
It means,
25% = 6 Kg. So,
100% = 6*4 = 24Kg. 
Thus,
Original price of the sugar was,
\(120\over24\) = Rs. 5 per kg.

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A can do a piece of work in 18 days, B in 27 days, C in 36

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A can do a piece of work in 18 days. B in 27 days and C in 36 days. They start working together but only C work till the completion. A leaves 7 days and B leaves 8 days before the completion of work. The whole work was completed in.

A12 days

B16 days

C14 days

D11 days

Akilesh Kharvi ? Nov 5 '2016 at 0:36

Answer is : 12 days

Let the work be completed in x days

(x-4) days of A + (x-6) days of B + x days of C = 1 

\(\implies \frac{x-4}{18} + \frac{x-6}{27} + \frac{x}{36} =1\)

\(\implies \frac{13x-48}{108} =1\)

so, x=12

 

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A man lends Rs. 1,200 for 3 years. A part he lends on 4% an

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A man lends Rs. 1,200 for 3 years. A part he lends on 4% and rest on 6% and receives Rs. 192 as interest. The money he lent on 6% rate is

ARs. 720

BRs. 840

CRs. 800

DRs. 515

Akilesh Kharvi ? Nov 5 '2016 at 0:29

Answer is : Rs. 800

If amount lend at 4% interest=x 
SI = (P * T * R) / 100
Where P = x , T(Time) = 3yr , R (rate) = 4% 
SI = \((x * 3 * 4)\over100 \)
SI = \(12x\over100\) ......................(i)

and at 6% interest=1200-x
\(SI = \frac{(P * T * R) }{100}\)
Where P = (1200-x) , T(Time) = 3yr , R (rate) = 6% 
\(SI = \frac{(1200-x) * 3 * 6}{100} \)
\(SI = \frac{(1200-x) * 18}{100}\)
\(SI = \frac{(21600 - 18x)}{100}\) ..................(ii)

Total interest is = 192 
equation (i) + (ii) =192
\((12x)\over100 \)+ \((21600-18x)\over100\) = 192
\(\frac{(12x + 21600 - 18x)}{100} = 192\)
12x + 21600 -18x = 19200
21600 - 6x =19200
6x = 21600 - 19200
6x = 2400
x=400

Finally, The money he lent on 6% rate is = 1200-x
=1200 - 400
=800

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A room is 12 (1/4) m long and 7m wide. The maximum length of

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A room is 12 (1/4) m long and 7m wide. The maximum lenght of a square tile to fill 4 the floor of room with whole number of tiles, should be

A200 cm

B175 cm

C125 cm

D150 cm

shyam ? Dec 20 '2019 at 10:41

Correct answer is: 175 cm

Explanation:

l = 1225cm and b= 700cm 

Maximum length of the square tile 

= H.C.F of (1225cm , 700cm) = 175cm

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Which of the following fractions is less than 1/5 ?

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Which of the following fractions is less than 1/5 ?

A8/35

B8/37

C2/11.

D8/39

Akilesh Kharvi ? Nov 4 '2016 at 23:34

Answer is : \( 2\over11\)
multiply value of question and all option value with 5.
now question becomes,
which of following is less than (1/5)*5 which is 1. . 
now option becomes,
option a: \((8*5)\over35\) = \(45\over35 \)which is greater than 1.
option b: \((8*5)\over37\) = \(45\over37\) which is greater than 1.
option c: \((2*5)\over11\) = \(10\over11\) which is less than 1.
option d: \((8*5)\over39\) = \(\frac{40}{39}\) which is greater than 1.
so answer is \(\frac{2}{11}\). 

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