The probability that a number selected at random from the numbers 1,2,3…….15 is a multiple of 4 is
(a) 4/15 (b) 1/5 (c) 2/15 (d) 1/15 Solution: Total number of outcomes = 15 From the numbers 1,2,3…….15, multiples... View Article
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The cost of preparing the walls of a room 12m long at the rate of Rs.1.35 per square meter is Rs. 340.20 and the cost of matting the floor at 85 paise per square metre is Rs. 91.80. Find the height of the room.
Solution: Given length of the room = 12 m Cost of matting floor = area of floor × rate per... View Article
Mitochondria are store houses of
A. Glycogen B. Glucose C. ATP D. Fats Solution: Mitochondria are known as the powerhouse of the cell because it... View Article
Solve the linear equation 3(5z-7) – 2(9z-11) = 4(8z-13)-17
Solution: 3(5z-7) – 2(9z-11) = 4(8z-13)-17 15z – 21 – 18z + 22 = 32z – 52 – 17 –... View Article
Find the HCF of 25 and 30.
(A) 25 (B) 6 (C) 1 (D) 5 Solution: HCF is the highest factor of all the common factor in... View Article
Find the value of 10C3.
Solution: nCr = n!/r!(n-r)! 10C3 = 10!/3!7! = 10×9×8/2×3 = 120 Hence the value of 10C3 = 120.
A classroom is 10 m long, 6.4 m broad and 5 m high. If each student be given 1.6 m2 of the floor area, how many students can be accommodated in the room? How many cubic meters of air would each student get?
Solution: Length of classroom = 10 m Breadth of classroom = 6.4 m Height of classroom = 5 m Area... View Article
Find the zeroes of the quadratic polynomial 4x2-4x-3 and verify the relationship between the zeroes and the coefficients of the polynomial.
Solution: 4x2 – 4x – 3 = 0 4x2 – 6x + 2x – 3 = 0 2x(2x – 3)... View Article
If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1. It becomes 1/2, if we only add 1 to the denominator. What is the fraction?
Solution: Let x/y be the fraction. Add 1 to the numerator and subtract 1 from the denominator. (x+1)/(y-1) = 1... View Article
Divide the sum of 8/3 and 4/7 by the product of -3/7 and 14/9.
Solution: Sum of 8/3 and 4/7 = (8/3) + (4/7) = (56 + 12)/21 = 68/21 Product of -3/7 and... View Article
If sin A + cos A = √2 then sin A – cos A is equal to
(a) 1 (b) 0 (c) 2 (d) none of these Answer: Given sin A + cos A = √2 Squaring... View Article
Sum of factors of 78 are
Solution: Factors of 78 are 1, 2, 3, 6,13, 26, 39 and 78. Sum of factors = 1 + 2... View Article
If 2/-9 is the additive inverse of 2/q , then q is equal to
Solution: An additive inverse of a number is the value, which on adding with the original number results in zero... View Article
Find the equation of the straight line passing through the points (-1, 1) and (2, -4).
Solution: Given points are (-1, 1) and (2, -4). (x1, y1) = (-1, 1) and (x2, y2) = (2, -4)... View Article
Prove that sin 400 – cos 700 = √3 cos 800.
Solution: Use sin A – sin B = 2 cos (A+B)/2 sin (A-B)/2 cos (90 – x) = sin x... View Article
Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(a) (0, 2) (b) (2, 0) (c) (4, 0) (d) (√2, 4√2) Solution: Given x – 2y = 4…(i) Substitute... View Article
Coal tar is used in the manufacture of
(A) Synthetic dyes (B) Drugs (C) Perfumes (D) All the three Solution: Coal tar is a thick dark liquid that... View Article
Duramen is?
(A) Sapwood (B) Heartwood (C) Bark (D) Periderm Solution: Duramen is the central or inner dark coloured, non-functional secondary xylem... View Article
Two trains travel in opposite directions at 36 km/hr and 45 km/hr respectively. A man sitting in the slower train passes the faster train in 8 s. What will be the length of the faster train?
(A) 80 m (B) 120 m (C) 150 m (D) 180 m Solution: Given that two trains travel in opposite... View Article
A number is chosen at random from the numbers – 3, – 2, – 1, 0, 1, 2, 3. What will be the probability that the square of this number is less than or equal to 1.
Solution: Given sample set = {- 3, – 2, – 1, 0, 1, 2, 3} Total number of outcomes =... View Article
