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- Question
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
- Correct Answer
- 47619
ExplanationBy hit and trail, we find that
47619 x 7 = 333333.
7) 333333 (47619
333333
----------------
0And 476190476 x 7 = 3333333333 but smallest number is 47619.
- 1. 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
- 2. 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
- 3. Find the number which when multiplied by 15 is increased by 196.
Options- A. 10
- B. 12
- C. 14
- D. 16 Discuss
- 4. 54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Options- A. 24
- B. 34
- C. 44
- D. 54 Discuss
- 5. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?
Options- A. 17
- B. 19
- C. 13
- D. 11 Discuss
- 6. How many numbers up to 101 and 300 are divisible by 11 ?
Options- A. 18
- B. 20
- C. 19
- D. 17 Discuss
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Problems on Numbers
Search Results
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: 34
Explanation:
Let the two parts be (54 - x) and x.
Then, 10 (54 - x) + 22x = 780
=> 12x = 240
=> x = 20.
Bigger part = (54 - x) = 34.
Correct Answer: 13
Explanation:
(385/1001) = 5/13
First Number is 5
=> Fourth number is 13
Correct Answer: 18
Explanation:
(300 ? 101)/11 = 199/11 = 18 1/11
18 Numbers.
Correct Answer: 11 and 33
Explanation:
Let 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.
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.
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