How many 2 digit even numbers can be formed from the digits
1, 2, 3, 4, 5 if the digits can be repeated?
Find the number of different signals that can be generated by arranging at
least 2 flags in order (one below the other) on a vertical staff, if five different flags are
available.
Given 4 flags of different colours, how many different signals can be
generated, if a signal requires the use of 2 flags one below the other?
Find the number of 4 letter words, with or without meaning, which can be
formed out of the letters of the word ROSE, where the repetition of the letters is not
allowed
IQ of a person is given by the formula
IQ =
MA
CA × 100,
where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of
12 years old children, find the range of their mental age.
How many litres of water will have to be added to 1125 litres of the 45% solution
of acid so that the resulting mixture will contain more than 25% but less than 30%
acid content?
A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to
it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we
have 640 litres of the 8% solution, how many litres of the 2% solution will have to
be added?
A solution is to be kept between 68° F and 77° F. What is the range in temperature
in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by
F =
9
5
C + 32 ?
Solve the inequalities and represent the solution graphically on
number line.
7. 5x + 1 > – 24, 5x – 1 < 24
8. 2 (x – 1) < x + 5, 3 (x + 2) > 2 – x
9. 3x – 7 > 2 (x – 6) , 6 – x > 11 – 2x
10. 5 (2x – 7) – 3 (2x + 3) ≤ 0 , 2x + 19 ≤ 6x + 47
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