Class 10 Imo Paper

CAREER POINT

PRE FOUNDATION DIVISON IMO Stage-II Exam.-2016

CLASS-10 MATHEMATICS Q.1

Q.2

Q.3

Date : 14-02-2016

If one of the zeros of a quadratic polynomial of the form x2 + ax + b is negative of the other, then it ……… (A) Has no linear term and the constant term is negative (B) Has no linear term and the constant term is positive (C) Can have a linear term but the constant term is negative (D) Can have a linear term but the constant term is positive

Q.4

In ABC right angled at B, BC = 5 cm and 1  sin C AC – AB = 1 cm. Evaluate cos C 5 12 (A) (B) 13 (C) (D) 5 13 13

Q.5

Which of the following statement is correct ? (A) sin (A + B) = sin A + sin B (B) The value of sin increases as  decreases (C) The value of cos increases as increases (D) None of these

Solve for x and y : x 4y 1 b  1 a  – = 5;   x+   y = b – a, b a  b   a  ab 0. (A) x = –a, y = b (B) x = b2, y = a2 (C) x = a2, y = b2 (D) x = b, y = – a

Q.6

The following table shows the daily pocket allowance given to the children of a multistory building. The mean of the pocket allowance is  18. Find out the missing frequency –

In the given figure, ABC is a triangle right angled at B and BD  AC. If A = 4 cm and CD = 5 cm, find BD and AB respectively –

(A) 2 5 cm, 3 5 cm (B) 3 5 cm, 6 cm (C) 2 5 cm, 6 cm (D) 3 5 cm, 8 cm

CAREER POINT : 128, Shakti Nagar, Kota - 324009 (Raj.), Ph: 0744-2503892

Class interval Frequency (in  )

1113 3

(A) 8

1315 6

1517 9

(B) 16

1719 13

1921 ?

(C) 12

2123 5

2325 4

(D) 4

Q.7

Three years ago, the average age of Latika, Garima and Megha was 27 years and that of Garima and Megha 5 years ago was 20 years. Latika’s present age is …….. (A) 30 years (B) 36 years (C) 40 years (D) 46 years

Q.8

Find the mode of the following frequency distribution :

Marks Number of students

10-20 12

(A) 20.33 (C) 33.33

20-30 35

30-40 45

40-50 25

50-60 13

(B) 30.12 (D) 60.43

1

Q.9

A small scale industry produces a certain number of items per day. The cost of production of each item (in rupees) was calculated to be 74 minus twice the number of articles produced in a day. On a particular day, the total cost of production was  540. Which of the following equations represent how to find the number of times produced on that day ? (A) 74 + 2 x = 540 (B) x2 + 74 x – 540 = 0 (C) 74 – 2x = 540 (D) x2 – 37 x + 270 = 0

Q.10

The sum of first n terms of an A.P. is given by (n2 + 8n). Find the 12th term of the A.P. Also find the nth term of the A.P. (A) 31, 2n + 9 (B) 31, 2n + 7 (C) 30, 2n + 6 (D) 30, 2n + 8

Q.11

IN the given figure, PQ is the chord of circle an PT is the tangent at P such that QPT = 60º. Then PRQ is –

(A) 135º (C) 120º Q.12

Two cleanliness hoardings are put on two poles of equal heights standing on either side of a roadway 50 m wide between the poles. The elevations of the tops of the poles from a points between them are 60º and 30º. Find the height of the pole 25 (A) 50 3 m (B) 3 m 3 25 (C) 25 3 m (D) 3m 2

Q.14

Beena gave a simple multiplication question to her students. Bt one student reversed the digits of both numbers and carried out the multiplication and found that the product was exactly the same as the one expected by Beena. Which on e of the following pairs of numbers will fit in the description of the questions ? (A) 14, 22 (B) 13, 62 (C) 19, 33 (D) 42, 28

Q.15

For what values of k will the following pairs of linear equations have infinitely many solutions ? 2x + 3y = 4 and (k + 2) x + 6y = 3k + 2 (A) 1 (B) –1 (C) 2 (D) –2

Q.16

The values of for which the quadratic equation x2 + 5/x + 16 = 0 has no real root is (A)  > 8 (B)  < –5 8 8 8 (C) – < < (D) –  