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- Question
- If in a long division sum,the dividend is 380606 and the successive remainders from the first to the last are 434, 125 and 413, then the divisor is?
Options- A. 451
- B. 843
- C. 4215
- D. 3372
- Correct Answer
- 843
ExplanationLet d = divisor and q = quotient
First remove the last remainder:
d x q + 413 = 380606
d x q = 380193
So d cannot be even (choice d) or a multiple of 5 (choice c).
If we try choice a or b,
a quick division (by calculator) shows that
380193 = 451 x 843, the other two choices.
(In the absence of choices, we could find the prime factors of 380193,
which are 3 x 11 x 41 x 281 and get various candidate divisors from that.)
So one of them is the divisor and the other the quotient.
So we can just check the first remainder:
843 x 4 = 3372
3806 - 3372 = 434 ... a match!
And just to be sure:
451 x 8 = 3608
3806 - 3608 = 198
So the divisor is 843. - 1. If a= x13y13+x-13y-13 then a3-3ay-x is equal to
Options- A. y^2x
- B. x^2y
- C. a^2x
- D. a^2y Discuss
- 2. 1.52 x 0.0225 = ?
Options- A. 0.0375
- B. 0.3375
- C. 3.275
- D. 32.75 Discuss
- 3. If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2 ?
Options- A. 45
- B. 109
- C. 117
- D. 126 Discuss
- 4. If a3+ b3 = 341 and ab = 30, then what is the value of a + b?
Options- A. 1
- B. 9
- C. 7
- D. 11 Discuss
- 5. Common factor of 24b6c8d2, 18a6c2d4, 12a4b4 is
Options- A. 72a2b2c2d2
- B. 72a6b6c8d4
- C. 6a2b2
- D. 6 Discuss
- 6. The value of 80-11245-63 is:
Options- A. 3/4
- B. 4/3
- C. 4/7
- D. 7/4 Discuss
- 7. Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?
Options- A. 1
- B. -1
- C. 2
- D. -2 Discuss
- 8. Calculate the value of 61681x61681-31681x3168130000
Options- A. 93352
- B. 94362
- C. 93362
- D. 95362 Discuss
- 9. If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 10. If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is
Options- A. 11
- B. 10
- C. 12
- D. -10 Discuss
More questions
Correct Answer: y^2x
Correct Answer: 0.3375
Correct Answer: 117
Correct Answer: 11
Correct Answer: 72a6b6c8d4
Correct Answer: 4/3
Explanation:
Correct Answer: 1
Correct Answer: 93362
Correct Answer: 2
Explanation:
Given that
So x - 2 =
Now cubing on both sides, we get
=>
Therefore,
Correct Answer: 10
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