What number must be subtracted from both numerator and denominator of the fraction 11/23

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What number must subtracted from both the numerator and the denominator of the fraction 27/35 so that it becomes 2/3 ?

A)

6

B)

8

C)

9

D)

11

Correct Answer :

11

Explanation :

Let the number be x. Then,
(27 - x)/(35 - x) = 2/3
3(27-x) = 2(35-x)
81 - 3x = 70 - 2x
81 - 70 =3x - 2x
x =11

So, Required number is 11.

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Which of the following is least number?

A)

13/22

B)

15/24

C)

17/26

D)

19/28

Correct Answer :

13/ 22

Explanation :

Converting into decimal

13/22=>.59~ ,15/24=>.62~ , 17/26=>.65~ and 19/28=> .67~

there .59~ < .62~ < .65~ < .67~ ,So correct answer is 13/22

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is
46, then find the dividend?

A)

4236

B)

4306

C)

4336

D)

5336

Correct Answer :

5336

Explanation :

Dividend = (Divisor x Quotient) + Remainder

according the question
remainder=46
divisor = 5*remainder=5*46 = 230
divisor=10*quotient
quotient =230/10=>23

So dividend =(230*23)+46=5336

4.86¯ − 3.71¯ = ?

A)

1.6¯

B)

1.5¯

C)

1.14¯

D)

1.15¯

Correct Answer :

1.15¯

Explanation :

4.86¯ − 3.71¯ =4+(86/99) − 3+(71/99) = (1+15/99) =1.15¯

0.004 × 0.5 = ?

A)

2

B)

0.02

C)

0.002

D)

0.0002

Correct Answer :

0.002

Explanation :

0.004 × 0.5 = 0.002

3 * 0.3 * 0.03 * 0.003 * 30=?

A)

.0000243

B)

.000243

C)

.00243

D)

.0243

Correct Answer :

.00243

Explanation :

3 * 3 * 3 * 3 * 30 = 2430
Thus, 3 * 0.3 * 0.03 * 0.003 * 30 = 0.002430 (Six places of decimal )

Express 0.5¯ as a vulgar fraction?

A)

5/10

B)

5/12

C)

5/9

D)

5/6

Correct Answer :

5/9

Explanation :

0.5¯ =5/9

Which of the following is larger than 3/5?

A)

1/2

B)

39/50

C)

59/100

D)

3/10

Correct Answer :

39/50

Explanation :

3/5 =>0.6
1/2 =>0.5
39/50 =>0.78
59/100 =>0.59
3/10=>0.3

0.3<0.5<0.59<0.6<0.78
3/10<1/2<59/100<3/5<39/50

What should come in place of the question mark (?) in the following question 1111.1 + 111.11 + 11.111 = ?

A)

1232.231

B)

1233.123

C)

1332.331

D)

1233.321

Correct Answer :

1233.321

Explanation :

the sum of the expression is
111.1 + 111.11 + 11.111 = 1233.321

1.4¯ is equal to which of the following?

A)

14/10

B)

13/9

C)

14/9

D)

14/90

Correct Answer :

13/9

Explanation :

1.4¯ = 1 + 0.4¯ = 1 + (4/9) = 13/9

Find the equivalent fractions of 2/5 having numerator 6 ?

A)

6/15

B)

6/10

C)

2/6

D)

6/5

Correct Answer :

6/15

Explanation :

2*3 = 6. This means we need to multiply both the numerator and denominator by 3 to get the equivalent fraction.Hence, required equivalent fraction
2/5 = 2 * 3 / 5*3 = 6/15

Which is smallest among 3/4 ,1/3 ,2/7 and 3/5 ?

A)

3/4

B)

1/3

C)

2/7

D)

3/5

Correct Answer :

2/7

Explanation :

3/4 = 0.75, 1/3 = 0.33 ,2/7 = 0.28 and 3/5 = 0.60
Clearly, 0.28 ie, 2/7 is smallest.

Which one among the following is the largest?

A)

7/9

B)

11/14

C)

3/4

D)

10/13

Correct Answer :

11/14

Explanation :

We have, 7/9 , 11/14 , 3/4 , 10/13

L.C.M. of (9, 14, 4, 13) = 3276
Now 7*364/3276 , 11*234/3276 , 3*819/3276 , 10*252/3276

2548/3276 , 2574/3276 , 2457/3276 , 2520/3276

So, Largest number = 2574/3276 = 11/14

The difference between two numbers 1365. When the larger number is divided by the smaller one the quotient is 6 and the remainder is 15.The smaller number is?

A)

240

B)

270

C)

295

D)

360

Correct Answer :

270

Explanation :

Let the smaller number be x, then larger number =1365+x
Therefore 1365+x=6x+15
5x=1350 => x=270
Required number is 270.

Find the smallest number of 6 digits which is exactly divisible by 111?

A)

111111

B)

110011

C)

100011

D)

110101

Correct Answer :

10011

Explanation :

Smallest number of 6 digits is 100000
On dividing 10000 by 111 we get 100 as remainder
Number to be added =111-100=11.
Hence,required number =10011.

A number when divided by 342 gives a remainder 47.When the same number is divided by 19 what would be the remainder?

A)

3

B)

5

C)

9

D)

11

Correct Answer :

9

Explanation :

Number=342 K + 47
= 19 * 18 K + 19 * 2 + 9
= 19 ( 18K + 2) + 9.
The given number when divided by 19 gives 18 K + 2 as quotient and 9 as remainder.

The denominators of an irreducible fraction is greater than the numerator by 2.If we reduce the numerator of the reciprocal fraction by 3 and subtract the given fraction from the resulting one,we get 1/15.Find the given fraction?

A)

2/5

B)

2/3

C)

3/5

D)

5/3

Correct Answer :

3/5

Explanation :

Let the numerator of the fraction be x.
It is given that the denominator of the fraction is greater than the numerator of the fraction by 2.
So the denominator becomes x+2.
Therefore, fraction be x/(x+2)

(x+2)-3 /x - x/(x+2) = 1/15 ------(1)
(x-1)/x - x/(x+2) = 1/15
(x+2)(x−1)− x(x) / x(x+2) = 1/15
15(x+2)(x−1)−15x(x)= x(x+2)
15x^2 +15x−30−15x^2 =x^2 +2x
x^2−13x+30=0
(x−10)(x−3)=0
⇒x=10 or x=3

If x=3, the given fraction is x/(x+2)= 3/5 and it proof e(1)
ie (x+2)-3 /x - x/(x+2) = 1/15
2/3 - 3/5 =1/15
​
Hence the fraction is x/(x+2) = 3/5

What is 11 12 minus 2/3 as a fraction?

When 5 is subtracted from both the numerator and denominator of a fraction?

When 1 is subtracted from each of the numerator and denominator of a fraction?

What is the number which being subtracted from the numerator?