The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?
- A. 68%
- B. 28%
- C. 17%
- D. 8%
PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.
- A. 56 cm
- B. 22 cm
- C. 42 cm
- D. 44 cm
The shaded area in the diagram above is represented by
- A. {(x,y) : y - 3x < -6}
- B. {(x,y) : y + 3x < 6}
- C. {(x,y) : y + 3x < -6}
- D. {(x,y) : y - 3x < 6}
The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.
- A. 45o
- B. 75o
- C. 30o
- D. 60o
A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?
- A. 1 : 250 000
- B. 1 : 25 000
- C. 1 : 500
- D. 1 : 5 000
Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)
- A. 2 -√3
- B. -2 - √3
- C. 2 + √3
- D. -2 + √3
The shaded region in the Venn diagram above is
- A. Pc ∪ (Q ∩ R)
- B. Pc ∩ (Q ∪ R)
- C. P ∩ Q
- D. Pc ∩ (Q ∩ R)
Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)
- A. \(\frac{7}{12}\)
- B. \(\frac{19}{35}\)
- C. \(\frac{2}{25}\)
- D. \(\frac{19}{60}\)
Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?
- A. 8/15
- B. 11/25
- C. 12/25
- D. 13/25
The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
- A. 96 cm
- B. 324 cm
- C. 36 cm
- D. 144 cm
Find the sum to infinity of the series 1/2 , 1/6, 1/18, …..
- A. 2/3
- B. 1/3
- C. 3/4
- D. 1
Factorize completely ac – 2bc – a\(^2\) + 4b\(^2\)
- A. (a - 2b)(c - a - 2b)
- B. (a - 2b)(c + a +2b)
- C. (a - 2b)(c - a + 2b)
- D. (a - 2b)(c + a - 2b)
The nth term of two sequences are Qn = 3 . 2n – 2 and Um = 3 . 22m – 3. Find the product of Q2 and U2.
- A. 18
- B. 12
- C. 6
- D. 3
Find the remainder when 3x3 + 5x2 – 11x + 4 is divided by x + 3
- A. -4
- B. 4
- C. 1
- D. -1
If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).
- A. 8
- B. 3
- C. 16
- D. 4
Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression
- A. 27
- B. 8
- C. 78
- D. 48
What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?
- A. -1. 0, 1, 2
- B. -2, 1, 0 , -1
- C. 0, 1, 2
- D. -1, 0, 1
y is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.
- A. 2
- B. 10
- C. 1/5
- D. 1/10