Simplification problems
- 1. The price of 2 oranges, 3 bananas and 4 apples is Rs. 15. The price of 3 oranges, 2 bananas and 1 apple is Rs. 10. What will be price of 4 oranges, 4 bananas and 4 apples ?
Options- A. Rs. 10
- B. Rs. 15
- C. Rs. 20
- D. Rs. 25 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 20
Explanation:
Let the Oranges be 'O', Bananas be 'B' and Apples be 'A'
From the given data,
2O + 3B + 4A = 15 ...... (I)
3O + 2B + A = 10 ..... (II)
On adding (I) and (II),
5O + 5B + 5A = 25
O + B + A = 5
4O + 4B + 4A = 20.
- 2. 38% of 7500 + ?% of 375 = 50% of 6000
Options- A. 50
- B. 40
- C. 60
- D. 45 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 40
Explanation:
Let ? = p
38 x 7500/100 + p x 375/100 = 50 x 6000/100
=> 38 x 75 + 3.75p = 3000
=> 3.75p = 3000 - 2850
=> p = 150/3.75
=> p = ? = 40
- 3. 1747 + 13212 - ? = 1123
Options- A. 16
- B. 17
- C. 18
- D. 19 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 19
Explanation:
=>
=> ? =
=> ? = 19.07
- 4. 1397 x 1397 = ? Here what replaces '?'
Options- A. 1951609
- B. 1821504
- C. 2031489
- D. 1847879 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 1951609
- 5. Simplify 413 + 215 + 414 = ?
Options- A. 10 47/60
- B. 11 45/73
- C. 11 47/36
- D. 10 35/48 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 10 47/60
Explanation:
The given equation is in Mixed fraction.
Now to solve this type of fractions,
- 6. If a+b=5 and 3a+2b=20,then (3a+b)will be :
Options- A. 20
- B. 15
- C. 25
- D. 30 Also asked in: CAT, Bank Clerk
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.
- 7. If 3x-y=27 , 3x+y=243 then find the x value
Options- A. 2
- B. 8
- C. 4
- D. 1 Also asked in: CAT, Bank Clerk
Correct Answer: 4
Explanation:
Given that ,
=> x-y=3, x+y=5
=> x = 4
- 8. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
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.
- 9. 217 x 217 + 183 x 183 = ?
Options- A. 84521
- B. 87487
- C. 80578
- D. 78458 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 80578
Explanation:
=
It is in the form of
= 2(40000 + 289) = 80578.
- 10. 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 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 10
Explanation:
Let 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.
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