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- Question
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
- Correct Answer
- 0
Explanationx = y <=> 1 - q = 2q + 1 <=> 3q = 0 <=> q = 0.
- 1. If a - b = 3, a2+b2=29 , find the value of ab.
Options- A. 10
- B. 12
- C. 15
- D. 18 Discuss
- 2. 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 Discuss
- 3. 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
- 4. 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
- 5. Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ?
Options- A. 100
- B. 1
- C. 4
- D. 0 Discuss
- 6. 18800÷470÷20=?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 7. 50.003% of 99.8÷49.988 = ?
Options- A. 2
- B. 0
- C. 1
- D. 50 Discuss
- 8. If ab=45 and bc=1516 , then c2-a2c2+a2 is :
Options- A. 7/5
- B. 7/25
- C. 7/125
- D. 7 Discuss
- 9. 5 + 2 x 10/2 = ?
Options- A. 15
- B. 35
- C. 10
- D. 20 Discuss
- 10. 5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?
Options- A. -13
- B. 11
- C. 13
- D. -11 Discuss
Simplification problems
Search Results
Correct Answer: 10
Explanation:
2ab=
29-9=20
=>ab=10
Correct Answer: 15
Explanation:
Let 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.
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: 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:
=
Correct Answer: 15
Explanation:
Using BODMAS Rule,
First solve division, mutiplication and Addition
So here 10/2 = 5
Then 2 x 5 = 10
Now, 5 + 10 = 15.
Hence, 5 + 2 x 10/2 = 15.
Correct Answer: 13
Explanation:
Given,
5sinx + 12cosx ? -r
cosx) ? -r
= cosA => sinA =
=> 13(sinx cosA + sinA cosx) ? -r
=> 13(sin(x + A)) ? -r
we know that , -1 ? sin (angle) ? 1
=> 13sin (x + A) ? -13
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