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- Question
A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?
Options- A. 15
- B. 20
- C. 10
- D. 8
- Correct Answer
- 10
ExplanationLet the price of each note book be Rs.x.
Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.
Hence xy = 300
=> y = 300/x
(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy
=>5(300/x) - 10x - 50 = 0 =>
multiplying both sides by -1/10x
=>
=> x(x + 15) - 10(x + 15) = 0
=> x = 10 or -15
As x>0, x = 10.
- 1. 217 x 217 + 183 x 183 = ?
Options- A. 84521
- B. 87487
- C. 80578
- D. 78458 Discuss
- 2. Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ?
Options- A. 23
- B. 24
- C. 25
- D. 26 Discuss
- 3. If 3x-y=27 , 3x+y=243 then find the x value
Options- A. 2
- B. 8
- C. 4
- D. 1 Discuss
- 4. If a+b=5 and 3a+2b=20,then (3a+b)will be :
Options- A. 20
- B. 15
- C. 25
- D. 30 Discuss
- 5. Simplify 413 + 215 + 414 = ?
Options- A. 10 47/60
- B. 11 45/73
- C. 11 47/36
- D. 10 35/48 Discuss
- 6. Solve this inequality 3b - 7 < 32?
Options- A. b = 13
- B. b < 13
- C. b > = 13
- D. b < = 13 Discuss
- 7. Simplify and find '?' 48?+32? = 320
Options- A. 4
- B. 8
- C. 16
- D. 32 Discuss
- 8. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to ___ ?
Options- A. 3.7
- B. 2.7
- C. 3.6
- D. 2.9 Discuss
- 9. The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ?
Options- A. 54
- B. 64
- C. 68
- D. 72 Discuss
- 10. Twenty times a positive integer is less than its square by 96. What is the integer ?
Options- A. 42
- B. 36
- C. 48
- D. 24 Discuss
Simplification problems
Search Results
Correct Answer: 80578
Explanation:
=
It is in the form of
= 2(40000 + 289) = 80578.
Correct Answer: 26
Explanation:
Let, Hema attempted 'k' sum correctly, then
k x 3 -2 x(35-k) = 60
5k = 130
k = 26
so 26 correct sums.
Correct Answer: 4
Explanation:
Given that ,
=> x-y=3, x+y=5
=> x = 4
Correct Answer: 25
Explanation:
a+b=5 ...(1) and 3a+2b=20 ...(2)
Multiplying (1) by 2 and subtracting from (2), we get : a=10.
Putting a=10 in (1), we get : b=-5
Therefore, (3a+b) = 3 x 10+(-5)=30-5=25.
Correct Answer: 10 47/60
Explanation:
The given equation is in Mixed fraction.
Now to solve this type of fractions,
Correct Answer: b < 13
Explanation:
The given 3b - 7 < 32 can be solved as
3b - 7 < 32
3b < 39
b < 13.
Correct Answer: 16
Explanation:
given
=>
Now squaring on both sides
=>
=> 100 x ? = 1600
=> ? = 16
Correct Answer: 2.9
Correct Answer: 72
Explanation:
If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, then
k + l + m + n = 58 x 4 = 232 ---- (i) &
l + m + n + o = 60 x 4 = 240 ---- (ii)
Subtracting (i) from (ii), we get
o-k = 8 ---(iii)
Given, k/o = 8/9 ----(iv)
So from (iii) & (iv), we get
a = 64, e = 72
Therefore, number of visitors on 5th day is 72.
Correct Answer: 24
Explanation:
Let the integer be x. Then,
x2 - 20x = 96
(x + 4)(x - 24) = 0
x = 24
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