Discussion
Home ‣ Aptitude ‣ Problems on H.C.F and L.C.M Comments
- Question
- If (x+2) is the HCF of x 2 + ax + b and x 2 + cx + d , then which one of the following is correct?
Options- A. a + c = b + d
- B. 2a + b = 2c + d
- C. b + 2c = 2a + d
- D. b - 2c = 2a - d
- Correct Answer
- b + 2c = 2a + d
ExplanationIf (x+2) is the HCF of x2 + ax + b and x2 + cx + d.
Then, (-2)2 -2a +b = (-2)2 -2c + d
b + 2c = 2a + d - 1. What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case?
Options- A. 30
- B. 31
- C. 32
- D. 35 Discuss
- 2. If x = a ? b, y = b ? c, z = c ? a, then the numerical value of the algebraic expression x3 + y + z ? 3xyz will be
Options- A. a + b + c
- B. 0
- C. 4 (a + b + c)
- D. 3 abc Discuss
- 3. The shaded region represents
Options- A. y ? x
- B. y ? ? x
- C. y ? x
- D. y ? ? x Discuss
- 4.
Minimum value of x2 + 1 - 3 is x2 + 1
Options- A. - 3
- B. - 2
- C. 0
- D. - 1 Discuss
- 5. If a + b + c = 8, then the value of (a ? 4)3 + (b ? 3)3 + (c ? 1)3 ? 3 (a ? 4) (b ? 3) (c ? 1) is
Options- A. 2
- B. 4
- C. 1
- D. 0 Discuss
- 6. Find the greatest possible length which can be used to measure 4m 3cm, 4m 34cm and 4m 65cm exactly.
Options- A. 31 cm
- B. 29 cm
- C. 28 cm
- D. 32 cm Discuss
- 7. Which of the following fractions is the greatest of all? 7/8, 6/7, 4/5, 5/6?
Options- A. 6/7
- B. 4/5
- C. 5/6
- D. 7/8 Discuss
- 8. L.C.M of 2/3, 4/9, 5/6 and 7/12 is?
Options- A. 1/18
- B. 1/36
- C. 35/9
- D. 140/3 Discuss
- 9. L.C.M of 3/4, 6/7, 9/8 is?
Options- A. 18
- B. 3
- C. 3/56
- D. 9/28 Discuss
- 10. H.C.F . of 1/2, 3/4, 5/6, 7/8, 9/10 is?
Options- A. 1/2
- B. 1/10
- C. 9/120
- D. 1/120 Discuss
Problems on H.C.F and L.C.M
Search Results
Correct Answer: 32
Explanation:
The required greatest number is the HCF of 263-7, 935-7, 1383-7
i.e. 256, 928 and 1376 HCF = 32
Correct Answer: 0
Explanation:
Here , x = a ? b, y = b ? c, z = c ? a
We have x + y + z = a ? b + b ? c + c ? a = 0
? x3 + y + z ? 3xyz = 0
Hence , the numerical value of algebraic expression is 0 .
Correct Answer: y ? x
Explanation:
The shaded region represents
y ? x
Correct Answer: - 2
Explanation:
Correct Answer: 0
Explanation:
We have p3 + q3 + r3 ? 3pqr = (p + q + r) (p2 + q2 + r2 ?pq ? qr - rp)
Here p = a ? 4, q = b ? 3, r = c ?1
So, given expression is (p + q + r) (p2 + q2 + r2 ? pq ? qr ? rp)
= (a ? 4 + b ? 3 + c ? 1) (p2 + q2 + r2 ? pq ? qr ? rp)
= (a + b + c ? 8) (p2 + q2 + r2 ? pq ? qr ? rp)
= (8 ? 8) (p2 + q2 + r2 ? pq ? qr ? rp)
? (a ? 4)3 + (b ? 3)3 + (c ? 1)3 ? 3 (a ? 4) (b ? 3) (c ? 1) = 0
Correct Answer: 31 cm
Explanation:
Required measure = HCF of 403, 434 and 465
= 31 cm
Correct Answer: 7/8
Explanation:
7 / 8 = 0.875,
6 / 7 = 0.857,
4 / 5 = 0.8 and 5/6 = 0.833
Now, 0.875 > 0.857 > 0.833 > 0.8
So, 7/8 is the greatest
Correct Answer: 140/3
Explanation:
L.C.M = ( L.C.M . of 2, 4, 5, 7) / (H.C.F. of 3, 9, 6, 12)
= 140/3
Correct Answer: 18
Explanation:
L. C . M = ( L.C.M of 3, 6, 9 ) / (H.C.F of 4, 7, 8)
= 18 / 1
= 18
Correct Answer: 1/120
Explanation:
H.C.F = ( H.C.F of 1, 3 , 5, 7, 9) / (L.C.M of 2, 4, 6, 8 , 10)
= 1 / 120
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