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- Question
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
- Correct Answer
- bL = -a
Explanation=> - 4KL/4K = a/b
=> L = - a/b
=> bL = -a
- 1. 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
- 2. 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
- 3. 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
- 4. 5 + 2 x 10/2 = ?
Options- A. 15
- B. 35
- C. 10
- D. 20 Discuss
- 5. If ab=45 and bc=1516 , then c2-a2c2+a2 is :
Options- A. 7/5
- B. 7/25
- C. 7/125
- D. 7 Discuss
- 6. 64/12 in simplest form?
Options- A. 19/6
- B. 32/4
- C. 16/3
- D. None of the above Discuss
- 7. 56/32 simplified value?
Options- A. 1.705
- B. 1.450
- C. 1.75
- D. 7.50 Discuss
- 8. Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Options- A. 8
- B. 9
- C. 10
- D. 11 Discuss
- 9. A class consists of both boys and girls along with a teacher. After a class, the teacher drinks 9 litres of water, a boy drinks 7 litres of water and a girl drinks 4 litres of water. If after a class 42 litres of water was consumed, find the number of girls in the class ?
Options- A. 8
- B. 6
- C. 5
- D. 3 Discuss
- 10. A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.10.25, then the number of 20-paise coins is
Options- A. 42
- B. 45
- C. 38
- D. 36 Discuss
Simplification problems
Search Results
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: 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: 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
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: 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.
Correct Answer: 9
Explanation:
26 trees have 25 gaps between them,
Required distance (225/25) = 9
Correct Answer: 3
Explanation:
Given teacher drinks 9 ltr
Let number of boys be 'A'.
Let number of girls be 'B'.
Boy drinks 7 ltr and girl drinks 4 ltr
After class total water consumed = 42 ltr
Then,
9 + 7A + 4B = 42
=> 7A + 4B = 33
By trial and error method,
The only integers which satisfy the equation is A = 3 and B = 3
Therefore, number of girls in the class = 3.
Correct Answer: 45
Explanation:
Let number of 20 ps coins = x and
number of 25 ps coins = y
Given total coins in the bag = 50
x + y = 50.......(1)
But the total money in the bag = Rs. 10.25
0.20x + 0.25y = 10.25
20x + 25y = 1025.........(2)
Now multiplying (1) by 25 we get
25x+25y=1250.............(3)
By solving (2) and (3)
20x + 25y = 1025;
=> x = 45;
Then, the no. of 20 ps coins are 45.
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