Numbers problems
- 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
Correct Answer: 9
Explanation:
LCM of 2, 3, 7 is 42.
=> (700 ? 300)/42 = 9 22/42 => 9 Numbers.
- 2. 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 Discuss
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 |
- 3. 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
Correct Answer: 9
- 4. 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
Correct Answer: 2
Explanation:
Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x ), which must be divisible by 3.
∴ x = 2.
- 5. 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
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.
- 6. 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
Correct Answer: 17
Explanation:
The pattern is , ,
The next number =
i.e. 17
- 7. 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
Correct Answer: 28, 17
- 8. About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?
Options- A. 40
- B. 45
- C. 32
- D. 30 Discuss
Correct Answer: 32
Explanation:
Probability of left handed = 4/5
total student = 40
total left handed = 40 x(4/5)
= 32
- 9. What will come in place of the question mark (?) in the following number series? 3240, 540, 108, 27, ?, 4.5
Options- A. 7
- B. 10
- C. 9
- D. 8 Discuss
Correct Answer: 9
Explanation:
Ans.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
- 10. The sum of three consecutive odd numbers is 93. What is the middle number?
Options- A. 31
- B. 33
- C. 29
- D. 27 Discuss
Correct Answer: 31
Explanation:
Let the three consecutive odd numbers be x, x+2, x+4
Then,
x + x + 2 + x + 4 = 93
=> 3x + 6 = 93
=> 3x = 87
=> x = 29 => 29, 31, 33 are three consecutive odd numbers.
Therefore, the middle number is 31.
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