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- Question
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
- Correct Answer
- 8 and 5
ExplanationLet 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
- 1. If 60% of 35 of a number is 36, then the number is
Options- A. 86
- B. 94
- C. 100
- D. 115 Discuss
- 2. What is the greatest of 3 consecutive integers whose sum is 24 ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 3. The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :
Options- A. 3/5
- B. 3/10
- C. 4/5
- D. 5/4 Discuss
- 4. Find the next number in the series 125, 80, 45, 20, ....
Options- A. 5
- B. 15
- C. -5
- D. 10 Discuss
- 5. On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is
Options- A. 68
- B. 65
- C. 70
- D. 75 Discuss
- 6. Find the next number in the series 14, 916, 2536,......
Options- A. 4981
- B. 6481
- C. 4964
- D. 6449 Discuss
- 7. 7, 16, 36, 78, 144, ? which number come in place of question mark
Options- A. 168
- B. 196
- C. 222
- D. 256 Discuss
- 8. Which one of the following cannot be the square of a natural number?
Options- A. 32761
- B. 42437
- C. 81225
- D. 20164 Discuss
- 9. The largest 4 digit number exactly divisible by 88 is ?
Options- A. 9944
- B. 9768
- C. 8888
- D. 9988 Discuss
- 10. 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
Numbers problems
Search Results
Correct Answer: 100
Explanation:
Let the number be x.Then
60% of of x=36.
=>
=> => x=
Required number is 100.
Correct Answer: 9
Explanation:
The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3
If the sum is 24, we need to solve the equation 3n + 3 = 24;
=> 3n = 21;
=> n = 7
The greatest of the three numbers is therefore 7 + 2 = 9
Correct Answer: 4/5
Explanation:
Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.
Correct Answer: 5
Explanation:
The pattern is -45, -35, -25, -15
The next number = 20-15= 5
Correct Answer: 75
Explanation:
Let Divisor be x. We know that Dividend = Remainder+Divisor×Quotient So Divisor = (Dividend - Remainder)/Quotient ⇒ x = (4150 - 25)/55 ⇒ x = 4125/55 ⇒ x = 75 Hence Divisor is 75.
Correct Answer: 4964
Explanation:
The pattern is ,
The next number= = 4964
Correct Answer: 222
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: 9944
Explanation:
The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.
Correct Answer: 9
Explanation:
LCM of 2, 3, 7 is 42.
=> (700 ? 300)/42 = 9 22/42 => 9 Numbers.
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