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- Question
- 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
- Correct Answer
- none of the above
ExplanationSum 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 - 1. 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
- 2. 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
- 3. 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
- 4. The sum of 5 consecutive odd numbers is 190. What is the sum of the largest and the smallest numbers?
Options- A. 75
- B. 77
- C. 76
- D. 73 Discuss
- 5. A number consists of two digits. The sum of the digit is 10. On reversing the digits of the number, the number decreases by 36. What is the product of the two digits?
Options- A. 21
- B. 24
- C. 36
- D. 42 Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Number System problems
Search Results
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: 76
Explanation:
Let the five consecutive number are N - 2, N - 1, N, N +1, N+2
Sum of numbers = 190
? N-2 + N -1 + N + N + 2 = 190
? 5N = 190
? N = 38
Sum of largest and smallest numbers = (N + 2) + (N - 2)
= 2N = 2 x 38
= 76
Correct Answer: 21
Explanation:
Let the unit digits of the number be N and 10s digit be M
? Number = 10M + N
According to the question
MN = 10 .......(i)
And 10N + M = (10M + N) - 36
? 10N + M - 10M - N = -36
? 9N - 9M = - 36
? N - M = -4 .......(2)
On Adding eq. (i) and (ii) we get
N + M = 10
N - M = - 4
2N = 6
? N = 3 and M = 7
? Required product of two digits = 3 x 7 = 21
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: 20
Explanation:
Let 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
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
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