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- Question
Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?
Options- A. 15
- B. 3
- C. 9
- D. 6
- Correct Answer
- 15
ExplanationLet the required two numbers be a, b
From the given data,
2a + 3b = 36 .....(1)
3a + 2b = 39 .....(2)
Now, by solving 1 and 2 eqnts, we get
5a = 45
a = 9 ....(3)
Put (3) in (1), we get
2(9) + 3b = 36
=> 18 + 3b = 36
3b = 36 - 18
=> b = 18/3 = 6
Required, difference between the numbers = a + b = 9 + 6 = 15.
- 1. An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?
Options- A. 2000
- B. 3000
- C. 2500
- D. 3500 Discuss
- 2. If 3x+7=x2+p=7x+5 , what is the value of P ?
Options- A. 17/2
- B. 25/3
- C. 33/4
- D. 41/5 Discuss
- 3. Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ?
Options- A. 100
- B. 1
- C. 4
- D. 0 Discuss
- 4. In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?
Options- A. 63
- B. 62
- C. 64
- D. 65 Discuss
- 5. 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
- 6. If a - b = 3, a2+b2=29 , find the value of ab.
Options- A. 10
- B. 12
- C. 15
- D. 18 Discuss
- 7. If x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?
Options- A. 0
- B. 1
- C. -1
- D. -2 Discuss
- 8. 18800÷470÷20=?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 9. 50.003% of 99.8÷49.988 = ?
Options- A. 2
- B. 0
- C. 1
- D. 50 Discuss
- 10. If ab=45 and bc=1516 , then c2-a2c2+a2 is :
Options- A. 7/5
- B. 7/25
- C. 7/125
- D. 7 Discuss
Simplification problems
Search Results
Correct Answer: 2000
Explanation:
Let 's' be the number of small packets and 'b' the number of large packets sold on that day.
Therefore, s + b = 5000 ... eqn (1)
Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.
Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.
Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)
Or 150s + 250b = 10,50,000 ... eqn (2)
Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)
Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000
We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.
2000 small packets were sold.
Correct Answer: 17/2
Explanation:
Now,
Correct Answer: 100
Correct Answer: 65
Explanation:
Total strength of the class is given by
15 + 44 + 4 + 3 - 1 = 65
Correct Answer: 24
Explanation:
Let the integer be x. Then,
x2 - 20x = 96
(x + 4)(x - 24) = 0
x = 24
Correct Answer: 10
Explanation:
2ab=
29-9=20
=>ab=10
Correct Answer: 0
Explanation:
x = y <=> 1 - q = 2q + 1 <=> 3q = 0 <=> q = 0.
Correct Answer: 2
Explanation:
Given Expression = = = 2
Correct Answer: 1
Explanation:
50.003% of 99.8 ÷ 49.988 = ?
? ~= (50 x 100/100)/50
? ~= (50 x 100)/(100 x 50)
? ~= 1
Correct Answer: 7/25
Explanation:
=
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