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Mathematics CBSE 2017 - Score Predictor Test - Class 10 MCQ


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30 Questions MCQ Test - Mathematics CBSE 2017 - Score Predictor Test

Mathematics CBSE 2017 - Score Predictor Test for Class 10 2024 is part of Class 10 preparation. The Mathematics CBSE 2017 - Score Predictor Test questions and answers have been prepared according to the Class 10 exam syllabus.The Mathematics CBSE 2017 - Score Predictor Test MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics CBSE 2017 - Score Predictor Test below.
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Mathematics CBSE 2017 - Score Predictor Test - Question 1

A quadratic equation whose one root is 3 is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 1

x=3 satisfies only the equation 

x− 5x + 6=0

As (3)− 5×3 + 6=0

⇒ 9 − 15 + 6=0

⇒15 − 15=0

⇒0=0

⇒L.H.S. = R.H.S.

Mathematics CBSE 2017 - Score Predictor Test - Question 2

To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is:

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 2

According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 5 + 7 = 12

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Mathematics CBSE 2017 - Score Predictor Test - Question 3

The angle of elevation of the top of a tower from a point on the ground and at a distance of 30m from its foot is 30°. The height of the tower is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 3

Mathematics CBSE 2017 - Score Predictor Test - Question 4

A die is thrown once. The probability of getting an even number and a multiple of 3 is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 4

 

Number of possible outcomes = {6} = 1

Number of Total outcomes = 6

∴ Required Probability = 1/6

Mathematics CBSE 2017 - Score Predictor Test - Question 5

The distance of the point ( -3, 4) from the origin is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 5

 

Here, (x1,y1) = (−3,4) and (x2,y2)=(0,0)

Mathematics CBSE 2017 - Score Predictor Test - Question 6

The area of a circle is 38.5 sq. cm. Its circumference is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 6

Mathematics CBSE 2017 - Score Predictor Test - Question 7

The cost of painting a cubical box of side 3m at the rate of Rs.2 per sq.m is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 7

Given: Side of the cube (a) = 3 m

∴ Surface Area of Cube = 6a2 = 6 x 3 x 3 = 54 sq. cm

Now, Cost of painting the cubical box of 1 sq. m = Rs. 2

∴ Cost of painting the cubical box of 54 sq. m = 54 x 2 = Rs. 108

Mathematics CBSE 2017 - Score Predictor Test - Question 8

The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 8

 

If the numbers x,2x+k,3x+6 are in A.P., 

then 2x + k = x = 3x + 6 − 2x − k

⇒x + k = x + 6−k

⇒ 2k=6

⇒ k=3

Mathematics CBSE 2017 - Score Predictor Test - Question 9

One of the roots of the quadratic equation a2x− 3abx + 2b= 0 is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 9

Mathematics CBSE 2017 - Score Predictor Test - Question 10

The next term of the A.P. √18, √32 and √50 is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 10

Mathematics CBSE 2017 - Score Predictor Test - Question 11

To construct a triangle similar to given ΔABC with its sides 8/5 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 11

According to the question, the minimum number of points to be located at equal distances on ray BX is 8. 

Mathematics CBSE 2017 - Score Predictor Test - Question 12

The length of tangent PQ, from an external point P is 24 cm. If the distance of the point P from the centre is 25 cm, then the diameter of the circle is 

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 12

Mathematics CBSE 2017 - Score Predictor Test - Question 13

From a point on the ground which is 15m away from the foot of a tower, the angle of elevation is found to be 60°. The height of the tower is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 13

Mathematics CBSE 2017 - Score Predictor Test - Question 14

One card is drawn from a well shuffled pack of 52 cards. The probability of getting an ace is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 14

 

Number of possible outcomes = 4

Number of Total outcomes = 52

∴ Probability of getting an ace = 4/52=1/13

Mathematics CBSE 2017 - Score Predictor Test - Question 15

The distance between the points ( – 1, – 5) and ( – 6, 7) is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 15

Mathematics CBSE 2017 - Score Predictor Test - Question 16

The circumference of a circle whose diameter is 4.2cm is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 16

Given: Diameter (d) = 4.2 cm

∴ Circumference = πd = 22/7×4.2 = 13.2 cm

Mathematics CBSE 2017 - Score Predictor Test - Question 17

If the angles of a right angled triangle are in A.P. then the angles of that triangle will be

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 17

 

Let the three angles of a triangle be a −d, a and a+d.
∴a − d + a + a + d=180°
⇒3a=180°
⇒a=60°
Therefore, one angle is of 60° and other is 90° (given).
Let third angle be x°, then
60° + 90° + x°=180°
⇒150° + x° =180°
⇒ x°= 180° − 150° = 30°
Therefore, the angles of the right angled triangle are 30°,60°,90°.

Mathematics CBSE 2017 - Score Predictor Test - Question 18

The two numbers whose sum is 27 and their product is 182 are

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 18

Let the one number be x then the other number will be (27−x) According to question

Mathematics CBSE 2017 - Score Predictor Test - Question 19

To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1,A2,A3,,…are located at equal distances on the ray AX and the point B is joined to :

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 19

According to question, the point B is joined to A11

Mathematics CBSE 2017 - Score Predictor Test - Question 20

A solid cylinder of radius ‘r’ and height ‘h’ is placed over other cylinder of same height and radius. The total surface area of the shape so formed is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 20

Mathematics CBSE 2017 - Score Predictor Test - Question 21

The length of the wire is 66m. The number of circles of circumference 13.2cm can be made from the wire is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 21

Given: Length of wire = 66 m = 6600 cm and Circumference = 13.2 cm

Mathematics CBSE 2017 - Score Predictor Test - Question 22

In the given figure, RQ is a tangent to the circle with centre O. If SQ = 6 cm and OR = 4 cm, then OR is equal to 

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 22

Mathematics CBSE 2017 - Score Predictor Test - Question 23

A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 23

 

Number of outcomes = 2

Number of total outcomes = 3 + 2 + 4 = 9

∴ Required Probability = 2/9

Mathematics CBSE 2017 - Score Predictor Test - Question 24

From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100m high, the distance between P and the foot of the tower is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 24

 

Mathematics CBSE 2017 - Score Predictor Test - Question 25

The distance between the points (a, b) and ( – a, b) is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 25

Mathematics CBSE 2017 - Score Predictor Test - Question 26

The common root of 2x+ x − 6=0 and x− 3x − 10=0 is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 26

Mathematics CBSE 2017 - Score Predictor Test - Question 27

The list of numbers – 10, – 6, – 2, 2, ……….. is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 27

Given: list of numbers – 10, – 6, – 2, 2……….. 

Here, −6−(−10)=−6+10=4

−2−(−6)=−2+6=4

2−(−2)=2+2=4

Therefore, the list of given numbers is an A.P with common difference 4.

Mathematics CBSE 2017 - Score Predictor Test - Question 28

To divide a line segment AB in the ration 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is :

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 28

According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e. , 2 + 5 = 7

Mathematics CBSE 2017 - Score Predictor Test - Question 29

If two solid hemispheres of same base radius ‘x’ cm are joined together along their bases, then the CSA of the new solid formed is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 29

 

If two solid hemispheres of same base radius ‘x’ cm are joined together along their bases, then the CSA of the new solid formed is 4πr= 4πx2.

Mathematics CBSE 2017 - Score Predictor Test - Question 30

The perimeter of a protractor is

Detailed Solution for Mathematics CBSE 2017 - Score Predictor Test - Question 30

 

Let radius of the protractor be r 

∴ Perimeter of protractor = Perimeter of semicircle + Diameter of semicircle 

⇒Perimeter of protractor = πr+2r

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