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- Question
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
Options- A. 12⁄35
- B. 1⁄35
- C. 35⁄8
- D. 7⁄32
- Correct Answer
- 12⁄35
Explanation
Let the numbers be a and b . Then, a + b = 12 and ab = 35.∴ a + b = 12 ⟹ ❨ 1 + 1 ❩ = 12 ab 35 b a 35 ∴ Sum of reciprocals of given numbers = 12 35 - 1. How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?
Options- A. 7
- B. 9
- C. 11
- D. 5 Discuss
- 2. The largest 4 digit number exactly divisible by 88 is
Options- A. 8888
- B. 9999
- C. 9944
- D. 9988 Discuss
- 3. Which one of the following cannot be the square of a natural number?
Options- A. 32761
- B. 42437
- C. 81225
- D. 20164 Discuss
- 4. Which number will come in place of question mark 7, 16, 36, 78, 144, ?
Options- A. 168
- B. 196
- C. 222
- D. 256 Discuss
- 5. 476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:
Options- A. 6 and 2
- B. 8 and 2
- C. 6 and 5
- D. 8 and 5 Discuss
- 6. A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?
Options- A. 6
- B. 5
- C. 8
- D. 9 Discuss
- 7. If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Options- A. 0
- B. 1
- C. 2
- D. None of these Discuss
- 8. At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
Options- A. 60
- B. 74
- C. 82
- D. 58 Discuss
- 9. Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...
Options- A. 26
- B. 16
- C. 17
- D. 18 Discuss
- 10. The difference of two numbers is 11 and (1/5)th of their sum is 9. The numbers are
Options- A. 31, 20
- B. 30, 19
- C. 29, 18
- D. 28, 17 Discuss
Numbers problems
Search Results
Correct Answer: 9
Explanation:
LCM of 2, 3, 7 is 42.
=> (700 ? 300)/42 = 9 22/42 => 9 Numbers.
Correct Answer: 9944
Explanation:
To find the largest 4 digit number exactly divisible by 88,
We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.
The largest possible 4 digit number is 9999
Now,
88) 9999 (113
88
_______
119
88
_______
319
264
_______
55
_______
Therefore, the largest 4 digit number exactly divisible by 88 is given by
9999 - 55 = 9944.
Correct Answer: 42437
Explanation:
The square of a natural number never ends in 7.
42437 is not the square of a natural number
Correct Answer: 222
Correct Answer: 8 and 5
Explanation:
Let the number be 476ab0
476ab0 is divisible by 3
=> 4 + 7 + 6 + a + b + 0 is divisible by 3
=> 17 + a + b is divisible by 3 ------------------------(i)
476ab0 is divisible by 11
[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11
=> [3 + (b - a)] is 0 or divisible by 11 --------------(ii)
Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.
if a=6 and b=2,
17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer
if a=8 and b=2,
17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)
[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer
if a=6 and b=5,
17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer
if a=8 and b=5,
17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1
[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2
Since these values satisfies both equation 1 and equation 2, this is the answer
Correct Answer: 9
Correct Answer: 2
Explanation:
Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x ), which must be divisible by 3.
∴ x = 2.
Correct Answer: 60
Explanation:
Let,
no. of rice bowl = x
no. of dal bowl = y
no. of meat bowl = z
Then, x + y + z = 65 ....(1)
Also given that, 2x = 3y = 4z
substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),
We get x = 30.
As 1 rice bowl is shared between 2 guests,
Therefore, there are 60 guests.
Correct Answer: 17
Explanation:
The pattern is , ,
The next number =
i.e. 17
Correct Answer: 28, 17
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