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- Question
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
- Correct Answer
- 39
ExplanationLet 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. - 1. 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
- 2. If a number 72k23l is divisible by 88. Then find value of k and l ?
Options- A. k=8 & l=2
- B. k=7 & l=2
- C. k=8 & l=3
- D. k=7 & l=1 Discuss
- 3. The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ?
Options- A. p times
- B. 2p times
- C. (p + 4) times
- D. (2p + 3) times Discuss
- 4. What are the Multiples of 6 and the Common Multiples of 4 and 6?
Options- A. 12, 34, 42
- B. 12, 18, 36,
- C. 6, 4, 14
- D. 4, 8, 16 Discuss
- 5. If the product of 6 integers is negative, at most how many of the integers can be negative?
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
- 6. 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
- 7. Which one of the following is not a prime number?
Options- A. 91
- B. 71
- C. 41
- D. 31 Discuss
- 8. There are 15 lines in plane. How many intersections (Maximum) can be made ?
Options- A. 55
- B. 105
- C. 215
- D. 148 Discuss
- 9. 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 Discuss
- 10. 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
Problems on Numbers
Search Results
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: k=7 & l=2
Explanation:
If a number to be divisile by 88, it should be divisible by both "8" and "11"
Check for '8' :
For a number to be divisible by "8", the last 3-digit should be divisible by "8"
Here 72x23y --> last 3-digit is '23y'
So y=2 [ (i.e) 232 is absolutely divisible by "8"]
Chech for '11' :
For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"
(7 + x + 3) - (2 + 2 + y)
(7 + x + 3) - (2 + 2 + 2)
(10 + x) - 6 should be divisible by "11"
for x = 7
=> 17 - 6 = 11 [ which is absolutely divisible by "11"]
So x = 7 , y= 2.
Correct Answer: (p + 4) times
Explanation:
Let the two no's be a and b;
Given product of the no's is p = ab;
If the each nos is increased by 2 then the new product will be
(a+2)(b+2) = ab + 2a + 2b + 4
= ab + 2(a+b) + 4
= p + 2(a+b) + 4
Hence the new product is (p+4) times greater than twice the sum of the two original numbers.
Correct Answer: 12, 18, 36,
Correct Answer: 5
Explanation:
Multiplying two negatives (or any even multiple) results in a positive. But multiplying three negatives (or any odd multiple) gives a negative. If the result of multiplying 6 negatives is odd, the largest number of negative integers will be the largest odd number (i.e.5)
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: 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: 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: 1080
Explanation:
LCM of 4, 6, 8 and 10 = 120
120) 1000 (8
960
------
40
The least number of four digits which is divisible by 4, 6, 8 and 10 => 1000 + 120 - 40 = 1080.
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.
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