Solve \(5^{2(x – 1)} \times 5^{x + 1} = 0.04\)
- A. \(\frac{1}{3}\)
- B. \(\frac{1}{4}\)
- C. \(-\frac{1}{5}\)
- D. \(-\frac{1}{3}\)
Subtract 16418\(_9\) from 18630\(_9\).
- A. 1121\(_9\)
- B. 2112\(_9\)
- C. 2113\(_9\)
- D. 2211\(_9\)
The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores?
- A. 18%
- B. 28%
- C. 36%
- D. 50%
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?
- A. 80
- B. 95
- C. 100
- D. 115
What value of x will make the function x(4 – x) a maximum?
- A. 4
- B. 3
- C. 2
- D. 1
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of students | 3 | 4 | 1 | 0 | 4 | 5 | 2 | 1 |
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5?
- A. 35
- B. 25
- C. 720
- D. 15
In how many ways can 9 people be seated if 3 chairs are available?
- A. 720
- B. 504
- C. 336
- D. 210
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?
- A. 15
- B. 28
- C. 30
- D. 45
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
- A. 0.5
- B. 1.0
- C. 1.5
- D. 2.0
5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?
- A. 4
- B. 3
- C. 2
- D. 1
The probability of a student passing any examination is 2/3. If the students takes three examination, what is the probability that he will not pass any of them?
- A. 2/3
- B. 4/9
- C. 8/27
- D. 1/27
The pie chart above represents 400 fruits on display in a grocery store. How many apples are in the store?
- A. 45
- B. 50
- C. 60
- D. 75
| No. of Days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | 2x | 60 | 40 | x | 50 |
The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?
- A. 180
- B. 120
- C. 110
- D. 40
Evaluate โซsec\(^2\)ฮธ dฮธ?
- A. sec ฮธ tan ฮธ + k
- B. tan ฮธ + k
- C. 2sec ฮธ + k
- D. sec ฮธ + k
The distance traveled by a particle from a fixed point is given as s = (t\(^3\) – t\(^2\) – t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?
- A. 2.3 cm
- B. 4.0 cm
- C. 5.2 cm
- D. 6.0 cm
If s = (2 + 3t)(5t – 4), find ds/dt when t = 4/5 secs
- A. 0 units per sec
- B. 15 units per sec
- C. 22 unit per sec
- D. 26 units per sec
A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60ยบ, find the width of the river?
- A. 100m
- B. 75โ3 m
- C. 100โ3m
- D. 200โ3m
Find the value of sin 45ยฐ – cos 30ยฐ
- A. \(\frac{2+\sqrt{3}}{4}\)
- B. \(\frac{\sqrt{2}+\sqrt{3}}{4}\)
- C. \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
- D. \(\frac{\sqrt{2}-\sqrt{3}}{2}\)
If y = 3 cos 4x, dy/dx equals?
- A. 6 sin 8x
- B. -24 sin 4x
- C. 12 sin 4x
- D. -12 sin 4x
What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?
- A. 1
- B. 2
- C. 3
- D. 4
What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is
| 2 |
| 3 |
?
- A. -2
- B. -1
- C. 1
- D. 2