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- Question
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
- Correct Answer
- 13
ExplanationGiven,
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
- 1. 5 + 2 x 10/2 = ?
Options- A. 15
- B. 35
- C. 10
- D. 20 Discuss
- 2. If ab=45 and bc=1516 , then c2-a2c2+a2 is :
Options- A. 7/5
- B. 7/25
- C. 7/125
- D. 7 Discuss
- 3. 50.003% of 99.8÷49.988 = ?
Options- A. 2
- B. 0
- C. 1
- D. 50 Discuss
- 4. 18800÷470÷20=?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 5. 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
- 6. A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ?
Options- A. 88572
- B. 77854
- C. 99584
- D. 55654 Discuss
- 7. A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?
Options- A. 300
- B. 150
- C. 175
- D. 200 Discuss
- 8. Simplify the following equation [K-L2-K+L2]4K = a/b
Options- A. K = b /a
- B. bL = -a
- C. KL = 1
- D. aK = -b Discuss
- 9. 64/12 in simplest form?
Options- A. 19/6
- B. 32/4
- C. 16/3
- D. None of the above Discuss
- 10. 56/32 simplified value?
Options- A. 1.705
- B. 1.450
- C. 1.75
- D. 7.50 Discuss
Simplification problems
Search Results
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: 7/25
Explanation:
=
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: 2
Explanation:
Given Expression = = = 2
Correct Answer: 0
Explanation:
x = y <=> 1 - q = 2q + 1 <=> 3q = 0 <=> q = 0.
Correct Answer: 88572
Explanation:
Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons =
Now it forms a geometric progression,
Sum to n terms is
Here a = 3, r = 3
=> 59048 x 3 /2
= 88572.
Correct Answer: 150
Explanation:
Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?
37.5/2 x 8
= 150.
Correct Answer: bL = -a
Explanation:
=> - 4KL/4K = a/b
=> L = - a/b
=> bL = -a
Correct Answer: 16/3
Explanation:
64/12 = 16/3 in simplest form.
Correct Answer: 1.75
Explanation:
56/32 can be reduced as
56/32
= 28/16
= 14/8
= 7/4
= 1 3/4
= 1.75
Hence, simplified value of 56/32 = 3/4 = 1.75.
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