1 Rao IIT Academy Talent Hunt Paper - 2014 1 SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR | SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL / KAMOTHE | NERUL | SANPADA | KHARGHAR | JEE | MEDICAL-UG | BOARDS | KVPY | NTSE | OLYMPIADS SAMPLE PAPER 9 TH STANDARD FOR STUDENTS ASPIRING ADMISSION IN 10 TH STANDARD Date: Total Marks: 150 Max. Time: 2:00 hr. 1. Read each question carefully. 2. It is mandatory to use black ball point pen to darken the appropriate circle in the OMR sheet. 3. Bubble mark should be dark and fill the circle completely. 4. Here are some examples of incorrect OMR filling. The Correct one is 5. Rough work must not be done on the OMR sheet. 6. Before handing over the OMR sheet to the invigilator, candidate should check that Standard, Roll No. / Name & Test Date are mentioned correctly. 7. The OMR sheet has to be returned to the invigilator immediately after the examination. 8. There are 75 questions in the paper. Each question carries 2 marks with (– 0.5) Negative marking. The paper contains questions based on Maths, Science, Logical Reasoning. 9. All questions are single correct answer type. INSTRUCTIONS FOR CANDIDATES
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SAMPLE PAPER 9TH STANDARD FOR - Rao IIT · Read each question carefully. 2. ... Nostoc (C) Rhizobium (D) Bacillus. 5 Rao IIT Academy Talent Hunt Paper - 2014 ... Compounds of carbon
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12. Find the value of ‘k’for which the system of linear equations kx + 2y = 5 and 3x + y = 1 has zerosolutions.
(A) k = 6 (B) k = 3 (C) k = 4 (D) none of these
13. Two right circular cones of equal curved surface areas have their slant heights in the ratio 3:5, findthe ratio of their radii.
(A) 3 : 4 (B) 4 : 3 (C) 5 : 3 (D) 3 : 7
14. The slant height of a right circular cone is 10 m and its height is 8 m. Its curved surface area will be :(A) 175.5 m2 (B) 185.5 m2 (C) 188.5 m2 (D) 198.5 m2
15. Find in figure
120°
A
C
B
O
(A) 60° (B) 75° (C) 90° (D) 30°16. The diagonals of a rectangle ABCD cut at O. OAL is an equilateral triangle drawn so that B and L are
on the same side of AC. If ÐACD = 30°, then the angles of ALB are -(A) 60°, 60° and 60° (B) 30°, 30° and 120°(C) 30°, 60° and 90° (D) not determinable from the given data
17. In the adjoining figure, ABCD is a trapezium in which AB||DC and AB = 2 DC. Then the ratio of thearea of DAOB and DCOD is -
(A) 3 : 1 (B) 2 : 1 (C) 4 : 1 (D) 3 : 218. What is the angle between the minute hand and hour hand of a clock at 3 p.m.?
(A) 45° (B) 90° (C) 15° (D) 60°19. A number is chosen at random among the first 120 natural numbers. The probability of the number
chosen being a multiple of 5 or 15 is -(A) 1/5 (B) 1/6 (C) 1/7 (D) 1/9
20. If 32x then the value of x1x correct to two decimal places is -
(A) water (B) alcohol (C) mercury (D) none of these
24. A block of mass 2 kg is sliding with a constant velocity of 8 m/s on frictionless horizontal surface. The forceexerted on a horizontal surface is nearly-
(A) 20 N (B) 10 N (C) 40 N (D) 16 N
25. A boat of mass 3000 kg initially at rest is pulled by a force of 1.8 × 104 Newton through a distance of 3 m.Assuming that the resistance due to water is negligible, velocity of boat is
(A) 6 m/s (B) 8 m/s (C) 9 m/s (D) 11 m/s
26. A molecule of phosphorus is represented as
(A) P (B) P2 (C) P4 (D) P8
27. Designation of an orbital with n = 6 and l = 0, is -
46. In Whittaker’s five kingdom classification, unicellular eukaryotes primarily aquatic and having various cellorganelles constitute, the kingdom(A) Monera (B) Protista (C) Animalia (D) Plantae
47. Which of the following is a bacterial disease?(A) Measles (B) Small pox (C) Rabies (D) Tuberculosis
48. The most logical and widely accepted classification scheme is provided by(A) Ernst Haeckel (B) Carolus Linnaeus (C) H.F. Copeland (D) R.H. Whittaker
49. The cell nucleus was discovered by(A) Calvin (B) Virchow (C) Robert Hooke (D) Robert Brown
61. Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?(I) R is third to the left of Q and P is second to the right of R.(II) Q is to the immediate left of T who is second to the right of P.(A) P (B) Q (C) R (D) S
62. Statement I: All the trees in the park are flowering trees.Statement II: Some of the trees in the park are dogwoods.Statement III: All dogwoods in the park are flowering trees.If the first two statements are true, then third statement is(A) True (B) false (C) uncertain (D) none of these
63. In the alphabet series which letter is midway between 22nd letter from the left and 21st letter fromthe right?(A) L (B) M (C) O (D) none of these
Directions: (64 to 65)In each of the following questions, four words have been given out in which three are alike in somemanner, while the fourth one is different. Choose out the odd one.
Read the given information carefully and answer the questions that follows: Ratan, Anil, Pinku andGaurav are brothers of Rakhi, Sangeeta, Pooja and Saroj not necessarily in that order. Each boy hasone sister and the names of brothers and sisters do not begin with the same letter. Pinku and Gauravare not Saroj’s and Sangeeta’s brothers. Saroj is not Ratan’s sister.