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Question Detail
Sum of two numbers is 25 and their difference is 13. Find their product.
- 104
- 108
- 114
- 124
Answer: Option C
Explanation:
Friends, this sort of question is quite important in competitive exams, whenever any question come which have relation between sum, product and difference, this formula do the magic:
=>(x+y)2=(x−y)2+4xy
<=>(25)2=(13)2+4xy
<=>4xy=(25)2−(13)2
<=>xy=4564=114
1. Sum of two numbers is 25 and their difference is 13. Find their product.
- 104
- 108
- 114
- 124
Answer: Option C
Explanation:
Friends, this sort of question is quite important in competitive exams, whenever any question come which have relation between sum, product and difference, this formula do the magic:
=>(x+y)2=(x−y)2+4xy
<=>(25)2=(13)2+4xy
<=>4xy=(25)2−(13)2
<=>xy=4564=114
2. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.
- 214
- 216
- 114
- 116
Answer: Option B
Explanation:
Let the number is x,
=>23x−50=14x+40
<=>23x−14x=90
<=>5x12=90
<=>x=216
3. if the sum of 12 and 15 of a number exceeds 13 of the number by 713, then number is
- 15
- 20
- 25
- 30
Answer: Option B
Explanation:
Seems a bit complicated, isnt'it, but trust me if we think on this question with a cool mind then it is quite simple...
Let the number is x,
then, (12x+15x)−13x=223
=>11x30=223
=>x=20
4. Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers
- 2
- 4
- 8
- 12
Answer: Option B
Explanation:
Let the ten digit be x, unit digit is y.
Then (10x + y) - (10y + x) = 36
=> 9x - 9y = 36
=> x - y = 4.
5. Find the number which when multiplied by 15 is increased by 196
- 10
- 12
- 14
- 16
Answer: Option C
Explanation:
Let the number be x.
Then, 15x = x + 196
=› 14 x= 196
=› x = 14.
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