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- Question
Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Options- A. 11 and 4
- B. 3 and 11
- C. 11 and 33
- D. 40 and 4
- Correct Answer
- 11 and 33
ExplanationLet the smaller number be 'm'
Then, from the given data, the larger number is '3m'
Given that m + 3m = 44
=> 4m = 44
m = 44/4 = 11
=> m = 11
=> 3m = 3 x 11 = 33
Hence, the two numbers are 11 and 33.
- 1. How many numbers up to 101 and 300 are divisible by 11 ?
Options- A. 18
- B. 20
- C. 19
- D. 17 Discuss
- 2. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?
Options- A. 476190476
- B. 48617
- C. 47619
- D. 4587962 Discuss
- 3. A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?
Options- A. 7
- B. 23
- C. 9
- D. 21 Discuss
- 4. The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
Options- A. 35 and 46
- B. 35 and 50
- C. 40 and 55
- D. 45 and 60 Discuss
- 5. Find the number which when multiplied by 15 is increased by 196.
Options- A. 10
- B. 12
- C. 14
- D. 16 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Problems on Numbers
Search Results
Correct Answer: 18
Explanation:
(300 ? 101)/11 = 199/11 = 18 1/11
18 Numbers.
Correct Answer: 47619
Explanation:
By hit and trail, we find that
47619 x 7 = 333333.
7) 333333 (47619
333333
----------------
0
And 476190476 x 7 = 3333333333 but smallest number is 47619.
Correct Answer: 23
Explanation:
Let the greater and smaller number be p and q respectively.
4q = p + 5 ------ (I)
p = 3q+2 ------- (II)
From equation (I) and (II)
q = 7
p = 23
Correct Answer: 35 and 46
Explanation:
Let the numbers be x and y. Then,
x^2+y^2=3341......(1)
x^2-y^2=891......(2)
Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46
Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35
So, the numbers are 35 and 46
Correct Answer: 14
Explanation:
Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..
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, 18, 36,
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: 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: 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.
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