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- Question
The least number of four digits which is divisible by 4, 6, 8 and 10 is ?
Options- A. 1107
- B. 1080
- C. 1100
- D. 1208
- Correct Answer
- 1080
ExplanationLCM of 4, 6, 8 and 10 = 120
120) 1000 (8
960
------
40The least number of four digits which is divisible by 4, 6, 8 and 10 => 1000 + 120 - 40 = 1080.
- 1. There are 15 lines in plane. How many intersections (Maximum) can be made ?
Options- A. 55
- B. 105
- C. 215
- D. 148 Discuss
- 2. Which one of the following is not a prime number?
Options- A. 91
- B. 71
- C. 41
- D. 31 Discuss
- 3. 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ?
Options- A. 0
- B. 2
- C. 12
- D. 10 Discuss
- 4. The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ?
Options- A. 57
- B. 75
- C. 48
- D. 39 Discuss
- 5. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ?
Options- A. 1020
- B. 1040
- C. 1060
- D. 1022 Discuss
- 6. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ?
Options- A. 270
- B. 1270
- C. 350
- D. 720 Discuss
- 7. If the sum and diference of two numbers are 20 and 8 respectively, then the difference of their squares is :
Options- A. 120
- B. 140
- C. 160
- D. 180 Discuss
- 8. 40 % of 250 = 50% ?
Options- A. 200
- B. 100
- C. 150
- D. 400 Discuss
- 9. Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?
Options- A. 128
- B. 64
- C. 32
- D. 16 Discuss
- 10. There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?
Options- A. 29
- B. 27
- C. 31
- D. 33 Discuss
Problems on Numbers
Search Results
Correct Answer: 105
Explanation:
First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.
Correct Answer: 91
Explanation:
Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.
It's answer will be 91.
Because 91 can be divisible by 7,13,91,1.
It is quite clear that prime number should be divisible only by itself and by 1.
Correct Answer: 12
Explanation:
Given
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1
Using BODMAS Rule,
As multiplication precedes addition, 1 x 0 = 0,
Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.
Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.
Correct Answer: 39
Explanation:
Let the two-digit number be 10a + b
a + b = 12 --- (1)
If a>b, a - b = 6
If b>a, b - a = 6
If a - b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 - a = 3
Number would be 93.
if b - a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 - b = 3.
Number would be 39.
There fore, Number would be 39 or 93.
Correct Answer: 1022
Explanation:
Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is 1022.
Correct Answer: 270
Explanation:
Let the smallest number be x.
Then larger number = (x + 1365)
x + 1365 = 6x + 15
= 5x = 1350
x = 270
Smaller number = 270.
Correct Answer: 160
Explanation:
Let the numbers be x and y. Then, x + y = 20 and x - y = 8.
x^2 - y^2 = (x + y) (x - y) = 20 x 8 = 160.
Correct Answer: 200
Explanation:
As per given
Correct Answer: 64
Explanation:
7th stop only one was left and in each preceding stop twice the nos... there were so 6 stops before 7th.
so
Correct Answer: 29
Explanation:
Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4
According to the question,
Difference between square of the average of first two odd number and the of the average last
two odd numbers is 396
i.e, x+3 and x-3
Hence, the smallest odd number is 33 - 4 = 29.
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