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The decimal expansion of the rational number $\frac{33}{22\times 5}$ will terminate after
The decimal expansion of the rational number $\frac{33}{22\times 5}$ will terminate after
If one zero of the quadratic equation $x^2 + 3x + k = 0$ is 2, then the value of k is
If one zero of the quadratic equation $x^2 + 3x + k = 0$ is 2, then the value of k is
The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm, respectively. If PQ = 9 cm, then AB equals:
The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm, respectively. If PQ = 9 cm, then AB equals:
Given that a - 1, a + 3, 3a - 1 are in Arithmetic Progression. The value of 'a' is equal to
Given that a - 1, a + 3, 3a - 1 are in Arithmetic Progression. The value of 'a' is equal to
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If 'p' is the angle (in degree) of a sector of a circle of radius 'r' , the area of the sector is
If 'p' is the angle (in degree) of a sector of a circle of radius 'r' , the area of the sector is
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If a pair of linear equations is consistent, then the corresponding lines will be:
If a pair of linear equations is consistent, then the corresponding lines will be:
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The distance between two parallel tangents of a circle of radius 3 cm is
The distance between two parallel tangents of a circle of radius 3 cm is
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A tree casts a shadow of 4 m long on the ground, when the angle of elevation of the sun is 45°. The height of the tree (in metres) is
A tree casts a shadow of 4 m long on the ground, when the angle of elevation of the sun is 45°. The height of the tree (in metres) is
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The two roots of a quadratic equation are 2 and -1. The quadratic equation is
The two roots of a quadratic equation are 2 and -1. The quadratic equation is
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If two cubes each of volume $8 cm^3 $ are joined end to end, then the surface area of the resulting cuboid is:
If two cubes each of volume $8 cm^3 $ are joined end to end, then the surface area of the resulting cuboid is:
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A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is
A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is
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Median of a data is 53 and its mean is 54. Using empirical relationship between the three measures of central tendency, the mode is
Median of a data is 53 and its mean is 54. Using empirical relationship between the three measures of central tendency, the mode is
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The following figure represents the graphs of the equation x - y + 1 = 0 and 3x + 2y - 12 = 0. The area of the triangle formed by these lines and y - axis is
The following figure represents the graphs of the equation x - y + 1 = 0 and 3x + 2y - 12 = 0. The area of the triangle formed by these lines and y - axis is
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P (1,1) is the mid-point of the line segment joining A and B. Find the coordinates of A, if the coordinates of B is (4,3).
P (1,1) is the mid-point of the line segment joining A and B. Find the coordinates of A, if the coordinates of B is (4,3).
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What is the nature of the roots of the quadratic equation $4x^2 - 12x - 9 = 0$?
What is the nature of the roots of the quadratic equation $4x^2 - 12x - 9 = 0$?
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Find the perimeter of a protractor whose diameter is 7cm
Find the perimeter of a protractor whose diameter is 7cm
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Find the area of the quadrant of a circle whose circumference is 44 cm.
Find the area of the quadrant of a circle whose circumference is 44 cm.
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The radii of the circular ends of frustum of a cone are 20 cm and 12 cm and its height is 6cm. Find the slant height of the frustum in cm.
The radii of the circular ends of frustum of a cone are 20 cm and 12 cm and its height is 6cm. Find the slant height of the frustum in cm.
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Given that ∆ABC ~ ∆QRP and ar (∆ABC): ar(∆QRP) = 9 : 4. Find the length of QR, if AB = 18 cm
Given that ∆ABC ~ ∆QRP and ar (∆ABC): ar(∆QRP) = 9 : 4. Find the length of QR, if AB = 18 cm
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Using Euclid's division algorithm find the HCF of 65 and 117.
Using Euclid's division algorithm find the HCF of 65 and 117.
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Find the HCF and LCM of 48, 54 by applying the Fundamental theorem of arithmetic.
Find the HCF and LCM of 48, 54 by applying the Fundamental theorem of arithmetic.
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A and ẞ are the zeroes of $x^2 - 3x + p$. Find the value of p, if $2α + 3β = 15$.
A and ẞ are the zeroes of $x^2 - 3x + p$. Find the value of p, if $2α + 3β = 15$.
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Find the area of the triangle with vertices (1, 2), (-2, 3) and (-3, -4)
Find the area of the triangle with vertices (1, 2), (-2, 3) and (-3, -4)
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Evaluate: $\frac{cos 70° + 4(sec^ 2 59° – cot^2 31°)}{3sin 20°} + \frac{2sin90°}{3}$
Evaluate: $\frac{cos 70° + 4(sec^ 2 59° – cot^2 31°)}{3sin 20°} + \frac{2sin90°}{3}$
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Cards marked with numbers 8, 9, 10, ....., 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card drawn is
(i) divisible by 7.
(ii) a number which is a perfect square.
Cards marked with numbers 8, 9, 10, ....., 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card drawn is
(i) divisible by 7.
(ii) a number which is a perfect square.
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Simon Tuffle was the umpire of cricket test match between India and Srilanka. There were two types of coins.
Type (A): A fair coin
Type (B): An unfair coin(having tail on both sides)
i) The coin selected for toss was type A coin. Find the probability of getting a tail on type A.
ii) Find the probability of getting a tail on type B coin.
Simon Tuffle was the umpire of cricket test match between India and Srilanka. There were two types of coins.
Type (A): A fair coin
Type (B): An unfair coin(having tail on both sides)
i) The coin selected for toss was type A coin. Find the probability of getting a tail on type A.
ii) Find the probability of getting a tail on type B coin.
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Study Notes
Common Rehearsal Examinations - January 2020
- Subject: Mathematics (Basic)
- Subject Code: 241
- Max. Marks: 80
- Time Allowed: 3 Hours
General Instructions
- All questions are compulsory.
- The question paper is divided into four sections: A, B, C, and D.
- Section A has 20 questions worth 1 mark each.
- Section B has 6 questions worth 2 marks each.
- Section C has 8 questions worth 3 marks each.
- Section D has 6 questions worth 4 marks each.
- No overall choice is provided.
- Internal choice is given for some questions (1 mark, 2 marks, 3 marks, and 4 marks).
- Use of a calculator is not permitted.
Section A (1 mark each)
- Questions 1-10 are multiple choice questions.
- Candidates need to select the most appropriate answer.
- Question 1: The decimal expansion of 33/22x5 will terminate after 5 decimal places.
- Question 2: If one zero of x²+3x+k = 0 is 2, then k = -10.
- Question 3: In two similar triangles ABC and PQR, if their perimeters are 60 cm and 36 cm, respectively, and PQ = 9 cm, then AB = 15 cm.
Section B (2 marks each)
- Section B contains 6 multiple choice questions.
Section C (3 marks each)
- Section C contains 8 multiple choice questions.
Section D (4 marks each)
- Section D contains 6 multiple choice questions.
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Description
Test your knowledge with this comprehensive Mathematics Basic examination from January 2020. Covering multiple sections and question types, this quiz is designed to assess your understanding of fundamental mathematical concepts. Prepare to tackle a variety of problems ranging from simple MCQs to more complex calculations.
