Discussion
Home ‣ Aptitude ‣ Number System Comments
- Question
- The product of two consecutive odd number is 6723. What is the greater number?
Options- A. 89
- B. 85
- C. 91
- D. 83
- Correct Answer
- 83
ExplanationLet two consecutive odd number be (A + 1) and (A + 3).
According to the question.
(A + 1) (A + 3) = 6723
? A2 + 3A + A + 3 = 6723
? A2 + 4A + 3 - 6723 = 0
? A2 + 4A - 6720 = 0
? A2 + 84A - 80A - 6720 = 0
? A(A + 84) - 80 (A + 84) = 0
? (A - 80) (A + 84) = 0
? A = 80, (A = ? - 84)
Hence, the greater number = 80 + 3 = 83 - 1. In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, then find the dividend?
Options- A. 5388
- B. 5343
- C. 5336
- D. 5391 Discuss
- 2. When 1/7 of a number is subtracted from the number itself, it gives the same value as the sum of all the angels of a triangle. What is the number?
Options- A. 224
- B. 210
- C. 140
- D. 350 Discuss
- 3. Find the maximum number of trees which can be planted 20 m apart on the two sides of a straight road 1760 m long.
Options- A. 174
- B. 176
- C. 180
- D. 178 Discuss
- 4. In a two digit positive number the unit digit is equal to the square of ten's place digit. The difference between the original number and the number formed by interchanging the digit is 54. What of 40% of the original number?
Options- A. 64
- B. 73
- C. 84
- D. Couldn't be determined Discuss
- 5. In a three-digit number, the digit in the unit's place is four times the digit in the hundred's place. If the digit in the unit's place and the ten's places are interchanged, the new number so formed is 18 more than the original number. If the digit in the hundred's place is one third of the digit in the ten's place, then what is 25% of the original number?
Options- A. 67
- B. 84
- C. 137
- D. Couldn't not be determined Discuss
- 6. The sum of the four consecutive even numbers is 284. What would be the smallest number.
Options- A. 72
- B. 74
- C. 68
- D. 66 Discuss
- 7. The sum of the digits of a two-digit number is 14 and the difference between the two digits of the number is 2. What is the product of the two digits of the two-digit number?
Options- A. 56
- B. 48
- C. 45
- D. Couldn't be determined Discuss
- 8. 42060/15 + 5 =?
Options- A. 2804
- B. 2809
- C. 2103
- D. 289 Discuss
- 9. 9873 + x = 13200, then x is?
Options- A. 3327
- B. 3237
- C. 3337
- D. None of these Discuss
- 10. (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5) =?
Options- A. 1
- B. 1 / 5
- C. 15 / 11
- D. 3 / 11 Discuss
Number System problems
Search Results
Correct Answer: 5336
Explanation:
Divisor = 5 x 46 = 230
Also, 10 x Quotient = 230
? Quotient = 23
We know that
Dividend = (Divisor x Quotient ) + Remainder
? Dividend = (230 x 23) + 46
? Dividend = 5290 + 46 = 5336
Correct Answer: 210
Explanation:
Let the number be P.
According to the question,
P - P/7 = 180
? 6P/7 = 180
? P = 180 x 7/6 = 210
Correct Answer: 178
Explanation:
Number of trees that can be planted on one side of road = (Length of road/gap between two trees ) + 1
Number of trees that can be planted on one side of road = ( 1760/20 )+ 1
Number of trees that can be planted on one side of road = 88 + 1 = 89
? Threes on the both sides
= 2 x 89 = 178
Correct Answer:
Explanation:
Let ten's place digit be a and unit's place digit be a2
Original number = 10 x a + 1 x a2 = 10a + a2
The number formed by interchanging the digits,
New number = 10 x a 2 + 1 x a = 10a 2 + a
According to the question
(10a2 + a) - ( 10a + a2) = 54
? 10a2 + a - 10a - a 2 = 54
? 9a2 - 9a = 54
? 9( a2 - a) = 54
? ( a2 - a) = 54/9
? ( a2 - a) = 6
? a2 - a - 6 = 0
? a2 - 3a + 2a - 6 = 0
? a (a - 3) + 2 (a - 3) = 0
? (a - 3) (a + 2) = 0
? a = 3, - 2
? Ten,s digit = a = 3
Unit's digit = a2 = 32 = 9
Original number = 39
? Required number = 39 x 40/100 = 15.6
Correct Answer: 67
Explanation:
Let hundred's place digit = p
Then according to question,
unit's digit = 4 x hundred's place digit = 4p
and Ten's place digit = 3 x hundred's place digit = 3p
So Number = 100 x p + 10 x 3p + 1 x 4p= 134p
If the digit in the unit's place and the ten's places are interchanged according to question,
unit's digit = 3p
and Ten's place digit = 4p
Now Number = 100 x p + 10 x 4p + 1 x 3p = 143p
According to the question, after interchanging,
143p - 134p = 18
? 9p = 18
? p = 2
Original number = 134p = 134 x 2 = 268
25% of original number = 268 x 25/100 = 67
Correct Answer: 68
Explanation:
Let four consecutive even numbers are P, P + 2, P + 4 and P + 6
According to the question,
P + P + 2 + P + 4 + P + 6 = 284
? 4P + 12 = 284
? 4P = 284 - 12 = 272
? P = 272/4 = 68
Correct Answer: 48
Explanation:
Let be the ten's digit be P and unit's digit be Q.
The two-digit number = 10P + Q
(where, P > Q)
According to the question,
P + Q = 14 ......(i)
and P - Q = 2 .......(ii)
solving Eqs. (i) and (ii), we get
P = 8 and Q = 6
? Required product = 8 x 6 = 48
Correct Answer: 2809
Explanation:
Given expression = 42060 / 15 + 5
= 2804 +5
=2809.
Correct Answer: 3327
Explanation:
x = 13200 - 9873 = 3327
Correct Answer: 15 / 11
Explanation:
Given expression = (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5)
= (14 + 1) / (10 + 1)
=15 / 11
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.