Discussion
Home ‣ Aptitude ‣ Decimal Fraction Comments
- Question
- 4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm of the pole is still in the mud. Find the full length of the pole .
Options- A. 1000
- B. 1100
- C. 950
- D. 1050
- Correct Answer
- 1050
ExplanationLet us assume length of pole is L.
Length of the pole in Mud is = L x 4/7 = 4L/7
Length of the Pole which is pulled out = L x 1/3 = L/3
Length of the pole is still in mud = Length of the pole in Mud - Length of the Pole which is pulled out
Length of the pole is still in mud = 4L/7 - L/3
According to question,
Length of the pole is still in mud = 250
4L/7 - L/3 = 250
(4L x 3 - L x 7)/7 x 3 = 250
12L - 7L = 250 x 21
5L = 250 x 21
L = 250 x 21/5
L = 50 x 21
L = 1050 - 1. 783 ÷ 9 ÷ 0.75 =?
Options- A. 130
- B. 124
- C. 118
- D. 116 Discuss
- 2. The Numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction.
Options- A. 3/7
- B. 4/8
- C. 2/7
- D. 3/8 Discuss
- 3. A, B, C and D purchase a gift worth ? 60. A pays 1/2 of what others are paying, B pays 1/3rd of what other are paying and C pays 1/4th of what others are paying. What is the amount paid by D?
Options- A. 14
- B. 15
- C. 16
- D. 13 Discuss
- 4. If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
Options- A. 3/10
- B. 2/15
- C. 3/16
- D. 2/7 Discuss
- 5. A man reads 3/8 of a book on a day and 4/5 of the remainder on the second day. If the number of pages still unread are 40, then how many pages did the book contain?
Options- A. 300
- B. 500
- C. 320
- D. 350 Discuss
- 6. The degree f polynomial p(x) = x 3 + 1 + 2x = 6x + 1/x is?
Options- A. 2
- B. 4
- C. 3
- D. 5 Discuss
- 7. If x = 1 + ? 2, then what is the value of x 4 - 4x 3 + 4x 2?
Options- A. -1
- B. 0
- C. 1
- D. 2 Discuss
- 8. What is the solution of the equations x - y = 0.9 and 11(x + y) -1 = 2?
Options- A. x = 3.2, y = 2.3
- B. x = 1, y = 0.1
- C. x = 2, y = 1.1
- D. x = 1.2, y = 0.3 Discuss
- 9. The product of two alternate odd integers exceeds three times the smaller by 12. What is the larger integer?
Options- A. 9
- B. 7
- C. 3
- D. 5 Discuss
- 10. The sum of two numbers is 24 and their product is 143. The sum of their squares is
Options- A. 296
- B. 295
- C. 290
- D. 228 Discuss
Decimal Fraction problems
Search Results
Correct Answer: 116
Explanation:
? = 783/9 x 0.75 = 116
Correct Answer: 3/7
Explanation:
Let denominator of fraction = x
Then, numerator = x - 4
? Fraction = x - 4/x
Now, according to the question,
8[(x - 4) - 2] = (x + 1)
(x -4) - 2= (x + 1)/8
? x - 6 = x + 1/8
? 8x - 48 = x + 1
? 8x - x = 48 + 1
? 7x = 49
? x = 49/7
? x = 7
? Fraction = (x - 4)/x
Put the value of x.
? Fraction = (7 - 4)/7 =3/7
Correct Answer: 13
Explanation:
Let A, B, C and D pay ?x, ?y, ?z and ?a
According to the question,
x = 1/2(y + z + a)
2x = (y + z + a) ..........(i)
y = 1/3(x + z + a)
3y = (x + z + a) ...........(ii)
z = 1/4(x + y + a)
4z = (x + y + a) ..........(iii)
Also, x + y + z + a = 60 ...............(iv)
Now, put the value of x + y + a = 4z from (iii) in (iv)
Then, 4z + z = 60 ? 5z = 60
? z = 12
Similarly, on putting the value of x + z + a = 3y from (ii) in (iv), we get
3y + y = 60 = ? 4y = 60
? y = 15
Again, on putting the value of (y + z + a) = 2x from (i) in (iv), we get
2x + x = 60 ? 3x = 60
&ther4; x = 20
Now, x + y + z + a = 60
On putting the value of x, y and z, we get
12 + 15 + 20 + a = 60
? a = 60 - 47 = ? 13
Correct Answer:
Explanation:
Let the original fraction be p/q.
Numerator is increased by 200%.
? Numerator = p + 200% of p
= p + 200p/100
= p + 2p
= 3p
and denominator of the fraction is increased by 150%.
Denominator = q + 150q/100
= (100q + 150q)/100
= 250q/100
= 5q/2
Then, according to the question,
3p/5q/2 = 9/35
3p x 2/5q = 9/35
6p/5q = 9/35
? p/q = 9 x 5/35 x 6
p/q = 3/14
Correct Answer: 320
Explanation:
Let the number of pages be p.
Number of pages read on first day = 3p/8
Remaining pages = p - 3p/8 = (8p - 3p)/8 = 5p/8
Number of pages read on second day = 4/5 x 5p/8 = p/2
Now , remaining pages = p - [ 3p/8 + p/2]
= p - [(3p + 4p)/8] = [p- 7p/ 8]
= [(8p - 7p)/ 8] = p/8
According to the question
p/8 = 40
? p = 40 x 8
? p = 320
Correct Answer: 4
Explanation:
x3 + 1 + 2x =6x + 1/x
x3 + 1 + 2x = (6x2 + 1)/x
(x3 + 1 + 2x)x = 6x2 + 1
x4 - 4x2 - 6x2 -1 =0
x4 - 4x2 + x - 1 =0
Degree of polynomial is highest exponent degree term i.e.,4.
Correct Answer: 1
Explanation:
x = 1 + ?2
? x4 - 4x3 + 4x2 = x2(x2 - 4x + 4)
= x2(x - 2)2
= (1 + ?2)2(1 + ?2 - 2)2
=(?2 + 1)2 (?2 - 1)2
=[(?2)2 - (1)2]2
=(2 - 1)2 =1
Correct Answer: x = 3.2, y = 2.3
Explanation:
x - y = 0.9 ...(i)
and 11(x + y)-1=2
? 11/ (x + y) = 2
? 2(x + y) =11
? x + y = 11/2 ...(ii)
On solving Eqs.(i) and (ii),we get
x = 3.2
and y = 2.3
Correct Answer: 7
Explanation:
Let two alternate odd integers odd integers be (2x+1) and (2x+5).
Then according to the question,
(2x + 1) (2x + 5) = 3(2x + 1) + 12
? (2x + 1) (2x + 5 - 3) = 12
? 2x2 + 3x - 5 = 0
On solving this quadratic equation,we get
x = 1 and x = -5/2
x = -5/2 is not a integer ? x = 1
Then, larger integer = 2x + 5 = 2 x 1 + 5 = 7
Correct Answer: 290
Explanation:
Let the two numbers be P and Q.
According to given question,
Sum of two numbers = 24
? P + Q = 24 ...................... (1)
Product of two numbers = 143
and, PQ = 143 .......................... (2)
As we know the formula,
? P 2 + Q2 = (P + Q)2 ? 2PQ
Put the value from the equation (1) and (2), We will get
? P 2 + Q2 = (24)2 ? 2 × 143
? P 2 + Q2 = 576 ? 286 = 290
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.