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- Question
- The sum of the two position number P and Q is 2.5 time their difference .If the product of the number 84 then the what is the sum of those two number?
Options- A. 26
- B. 24
- C. 22
- D. 20
- Correct Answer
- 20
ExplanationLet the number be P and Q
According to the question
(P + Q) = 2.5 (P - Q)
? P + Q = 2.5P - 25Q
? 3.5Q = 1.5P
? P / Q = 7/3 .....(i)
Now PQ = 84
? Q2 = (84 x 3) / 7
? Q2 = 36
? Q = 6
&ther4; P = (7/3) x 6 = 14
Sum of the number = P + Q = 14 + 6 = 20 - 1. On children day sweet were to be equally distributed among 300 children. But on that particular day 50 children remain absent hence each child got one extra sweet. How many sweet were distributed?
Options- A. 1450
- B. 1700
- C. 1500
- D. 1650 Discuss
- 2. The sum of five consecutive odd number is equal to 175. What is the sum of the second large number and the square of the smallest number among them together?
Options- A. 989
- B. 997
- C. 979
- D. none of the above Discuss
- 3. A student was asked to multiply a number by 3/2 but he divided that number by 3/2. The result was therefore 10 less then the correct answer. Find the number.
Options- A. 10
- B. 12
- C. 15
- D. 20 Discuss
- 4. Five time of a position integer is equal to 3 less then twice the square of that number. Find the number.
Options- A. 3
- B. 13
- C. 23
- D. 33 Discuss
- 5. If a =16 and b= 5, the value of (a 2+ b 2+ ab) / (a 3 - b 3) is?
Options- A. 1/11
- B. 1/19
- C. 121/3971
- D. None of these Discuss
- 6. Out of three given number the first number is twice the second and thrice number is 154 then what is the difference between the first and third number?
Options- A. 126
- B. 42
- C. 168
- D. 52 Discuss
- 7. Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long
Options- A. 174
- B. 176
- C. 180
- D. 178 Discuss
- 8. The difference between two number is 18 if four times the second number is less then three what is the sum these two number?
Options- A. 100
- B. 80
- C. 86
- D. 92 Discuss
- 9. A number is greater than the square of 44 but smaller than the square of 45. If one part of the number is the square of 6 and the number is a multiple of 5, then find the number.?
Options- A. 1940
- B. 2080
- C. 1980
- D. Cannot be determined Discuss
- 10. When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is?
Options- A. 41625
- B. 42515
- C. 42735
- D. 42135 Discuss
Number System problems
Search Results
Correct Answer: 1500
Explanation:
let the total number of sweet = N
According to the question
(N/250) - (N/300) = 1
? (6N - 5N) / 1500=1
? N = 1500
Correct Answer: none of the above
Explanation:
Sum of the five consecutive odd number = N + (N + 2) + (N + 4) + (N + 6) + (N + 8) =175
? 5N + 20 =175
? N = (175 - 20) / 5 = 31
Sum of the second largest and square of smallest one = (31 + 6) + (31)2
= 37 + 961=998
Correct Answer: 12
Explanation:
Let the number be N
According to the question,
[N x (3/2)] - [N / (3/2)] =10
? 3N/2 - 2N/3 = 10
? (9N - 4N)/6 = 10
? 5N / 6 = 10
? N = (10 x 6)/5 =12
Correct Answer: 3
Explanation:
Let the number be N
According to the question 5N = 2N2 - 3
? 2N2 - 5N -3 = 0
? (N - 3) (2N + 1) = 0
N = 3 & -1/2
Thus the required number is 3
Correct Answer: 1/11
Explanation:
Given Exp. = (a2+ b2+ ab) / (a3-b3)
= 1 / (a - b)
= 1 / (16 - 5)
= 1/11.
Correct Answer: 168
Explanation:
Let the third number = N
Then the first number = 3N
And second number = 3N/2
According to the question [N + 3N + 3N/2] / 3=154
? (2N +6N +3N) / 6 = 154
? N = (154 x 6) / 11 = 84
? Required difference = 3N - N = 2N
= 2 x 84 = 168
Correct Answer: 178
Explanation:
Number of trees that can be planted on one side of road = (1760 / 20) + 1
= 88 + 1
=89
? Trees on the both side = 2 x 89=178
Correct Answer: 92
Explanation:
Let first number = P
And second number = Q
According to the question
P - Q = 10 ....(i)
And 3P - 4Q = 18...(ii)
on multiply eq (i) by 3 and then subtract eq (ii) from it
3P - 3Q = 54
3P - 4Q = 18
Q = 36
On putting the value of Q in the eq (i)
P = 18 + Q = 18 +36
? P = 54
Required sum = P + Q = 54 +36 =90
Correct Answer: 1980
Explanation:
Let the number be x.
442 < x < 452
? 1936 < x < 2025 ...(i)
From equation (i), the required number will be any number between 1936 and 2025. Since one part of the number is the square of 6 means one factor is 36.
? L, C, M of 36 and 5 = 180
? Number will be multiple of 180 i,e.,
180 x 11 = 1980 the only value which satisfies the equation (i).
Correct Answer: 42735
Explanation:
By trial, we find that the smallest number consisting entirely of fives and exactly divisible by 13 is 555555. On dividing 555555 by 13, we get 42735 as quotient.
? Req. smallest number =42735.
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