PLS ANS WITH EXPLANATIONDirections (Q. 1 to 4): There is a letter/number series from which some of the letters/numbers aremissing. The missing letters/numbers are given in proper sequence in one of the alternatives among thefour given under each question.1. 7, 15, 47, 191, ?(A) 385 (B) 767(C) 959 (D) 10092. 2 , 4 ,?,11,163 7 21 31(A) 59(B) 611(C) 713(D) 9173. ejo tyd ins xch ?(A) nrw (B) mrw(C) msx (D) nsx4. Z1A, X2D, V6G, T21J, R88M, P445P, ?(A) N2676S (B) N2766S(C) N2667S (D) none of theseDirections (Q. 5 to 6): Find the odd one out:5. (A) Bucket (B) Bowl(C) Sack (D) Canister6. (A) Now (B) Then(C) After (D) Again7. What should come in place of question mark(?) in the following series?ATTRIBUTION, TTRIBUTIO, RIBUTIO, IBUTI, ?(A) BUT (B) UTI(C) UT (D) IBU8. What should come in the blank space in the following series?M, N, O, L, R, I, V, ____(A) E (B) H(C) Z (D) F9. 25th June 542695283217 A.D. is Dooms day. Which weekday falls on that day?(A) Sunday (B) Monday(C) Friday (D) Wednesday10. If REQUEST is coded as S2R52TU in certain code, how will ACID be written in that code?(A) BDJE (B) 1D3E(C) 1C94 (D) 1E7911. Pointing to Priti, father of Rishu says, She is the daughter of the daughter of the wife of the onlyson of the grand father of my sister. How is Sukriti related to Priti if Sukriti is the sister of Rishusfather?(A) Aunt (B) Mother(C) Niece (D) Cant say12. A person moves towards North a distance of 30 m. He turns 135 in clockwise direction andgoes 50 2m. From here he turns 135 clockwise and goes 35 m. How far is he from initial point?(A) 25 m (B) 20 m(C) 15 m (D) 30 m13. Ram wants to go to the school. He starts from his home which is in the East and comes to acrossing. The road to the left ends in a theatre, straight ahead is the temple. In which direction isthe school?(A) North (B) South(C) East (D) West14. If a cube is to be painted with Red and Blue colour such that each face should get exactly onecolour then in how many ways this cube can be painted?(A) 26 (B) 62(C) 12 (D) 1015. If a cube is painted with Red, Blue and Green on two adjacent faces each colour and then it is cutinto 343 smaller cubes by minimum number of cuts, then the number of smaller cubes, with allthree colour will be(A) 2 (B) 8(C) 12 (D) 6Directions: (Q. 16 to 18): In the following questions, the symbols @, #, $, %, x are used with thefollowing meanings as illustrated below :A @ B means A is not greater than B.;A # B means A is greater than or equal to B;A $ B means A is neither greater than nor less than B;A % B means A is less than B;A x B means A is neither less than nor equal to B;Now, in each of the following questions, assuming the given statements to be true, find which ofthe following conclusions I, II and III given below them is/are definitely true.16. Statements: K @ L, L % N, E # NConclusions:I. K % EII. E x LIII. N x K(A) Only I and II are true (B) Only II and III are true(C) Only I and III are true (D) All are true17. Statements: D $ T, T x P, M @ PConclusions:I. D x MII. M % TIII. D # P(A) Only I is true (B) Only I and II are true(C) All are true (D) Only I and III are true18. Statements: T # R, R % L, L x KConclusions: I. T % L II. K x R III. T # K(A) Only I is true (B) Only I and II are true(C) Only I and III are true (D) none is trueDirections (Q. 19 to 22): In each of the following questions, select the alternative figure which isembedded in the given figure (x):19.(x)A B C D20.(x)A B C D21.(x)A B C D22. At what time between 5:30 and 6 will the hands of a clock be at right angles?(A) 43 5 min.past511(B) 43 7 min.past511(C) 40min.past5 (D) 45 min past 5Directions (Q. 23 to 27): Read the following information and answer the following questions :(i) There is a group of five people A, B, C, D and E.(ii) In the group, there are three professors, specialists in Philosophy, Psychology and Economics.(iii) A and D are unmarried ladies and are not specialist in any subject.(iv) In the group there is a married couple and E is the husband.(v) B is the brother of C, and he is neither a Psychologist nor an Economist.(vi) Professor specialist in Psychology is also a lady.23. Who is Es wife?(A) A (B) B(C) C (D) D24. Which of the following group consists of all the males?(A) ABC (B) BCD(C) BC (D) BE25. Who is professor of Philosophy?(A) A (B) B(C) C (D) E26. Who is professor of Economics?(A) A (B) B(C) E (D) C27. Which of the statements given above is superfluous?(A) none of these (B) (i)(C) (iii) (D) (vi)Directions (Q. 28 to 30): Read the following information and answer the following questions :Seven friends Kamla, Manish, Rohit, Amit, Gaurav, Pritam and Priya are Sitting in a circle. Kamla,Manish, Rohit, Amit, Pritam and Priya are sitting at equal distances from each other. Rohit is sitting twoplaces right of Pritam, who is sitting one place right of Amit. Kamla froms an angle 90o degrees fromGaurav and an angle of 120 degrees from Manish. Manish is just opposite Priya and is sitting on the leftof Gaurav.28. Who is the only Person sitting between Rohit and Manish?(A) Pritam (B) Amit(C) Gaurav (D) Kamla29. The angle between Gaurav and Manish in the clock wise direction is ?(A) 150o (B) 180o(C) 120o (D) None of these30. Gaurav is sitting ____________ of Priya(A) to the left (B) to the Right(C) two place right (D) None of thesePhysicsStraight Objective TypePhysics contains 20 multiple choice questions numbered 31 to 50. Each question has 4 choices(A), (B), (C) and (D), out of which ONLY ONE is correct.31. S.I. unit of magnetic field is(A) Weber (B) Weber-m(C) Tesla (D) Tesla-m32. The resistivity of a wire(A) Increases with the length of the wire(B) Decreases with the area of cross-section(C) Decreases with the length and increases with the cross-section of wire(D) None of the above statement is correct33. A coil develops heat of 800 cal/sec. When 20 volts is applied across its ends. The resistance ofthe coil is (1 cal = 4.2 joule)(A) 1.2  (B) 1.4 (C) 0.12  (D) 0.14 34. The electrolyte used in Lechlanche cell is(A) Copper sulphate solution (B) Ammonium chloride solution(C) Dilute sulphuric acid (D) Zinc sulphate37. For a colour of light the wavelength for air is 6000oAand in water the wavelength is 4500oA. Thenthe speed of light in water will be(A) 5.0 *1014m / s (B) 2.25 *108m / s(C) 4.0 *108m / s (D) Zero38. Which one of the following is not associated with total internal reflection(A) The mirage formation (B) Optical fiber communication(C) The glittering of diamond (D) Dispersion of light40. Dimensions of a block are 1cm1cm100cm. If specific resistance of its material is3 107ohmm, then the resistance between the opposite rectangular faces is(A) 3 109ohm (B) 3 107ohm(C) 3 105ohm (D) 3 103ohm41. When two resistance R1 and R2 are connected in series, they consume 12W power. When theyare connected in parallel, they consume 50 W power. What is the ratio of the powers of R1 and R2(A) 14(B) 4(C) 32(D) 342. When a magnetic field is applied in a direction perpendicular to the direction of cathode rays, thentheir(A) Energy decreases(B) Energy increases(C) Momentum increases(D) Magnitude of momentum and energy remain unchanged44. A current carrying circular loop is freely suspended by a long thread. The plane of the loop willpoint in the direction(A) Wherever left free (B) North-south(C) East-west (D) At 45o with the east-west direction45. Two mirrors at an angle  produce 5 images of a point. The number of images produced when is decreased to 30o is(A) 9 (B) 10(C) 11 (D) 1246. What will be the height of image when an object of 2mm is placed on the axis of a convex mirrorat a distance 20 cm of radius of curvature 40 cm(A) 20 mm (B) 10 mm(C) 6 mm (D) 1 mm47. If the critical angle for total internal reflection from a medium to vacuum is 30o, the velocity of lightin the medium is(A) 3 108m / s (B) 1.5 108m / s(C) 6 108m / s (D) 3 108m / s49. A ray of light is incident normally on one of the face of a prism of angle 30o and refractive index2 . The angle of deviation will be(A) 26o (B) 0o(C) 23o (D) 15o50. A ray of light passes through the equilateral prism such that angle of incidence is equal to theangle of emergence if the angle of incidence is 45o. The angle of deviation will be(A) 15o (B) 75o(C) 60o (D) 30oChemistryStraight Objective TypeChemistry contains 20 multiple choice questions numbered 51 to 70. Each question has 4choices (A), (B), (C) and (D), out of which ONLY ONE is correct.51. Which of the following metals will give H2 on reaction with NaOH ?(A) Be (B) Ba(C) Ca (D) K52. 1 mole of H3PO3 is neutralised by.. mole/s of NaOH(A) 6 (B) 3(C) 2 (D) 153. The conjugate base of 2 4 H PO  is(A) H3PO4 (B) 24 HPO(C) 34 PO (D) H3PO354. If 30 ml of H2 and 20 ml of O2 react to form water. What is left at the end of the reaction.(A) 10 ml of H2 (B) 5 ml of H2(C) 10 ml of O2 (D) 5 ml of O255. The value of n in the following equation is: 2 32 7 2 Cr O  14H  ne 2Cr  7H O(A) 2 (B) 3(C) 4 (D) 656. What is the normality of 0.3 M H3PO4. When it undergoes the reaction as:23 4 3 2 H PO  2OH HPO  2H O(A) 0.3N (B) 0.15N(C) 0.6N (D) 0.9N57. The metals present in insulin, haemoglobin and vitamin B12 are respectively(A) Zn, Hg, Cr (B) Co, Fe, Zn(C) Mg, Fe, Co (D) Zn, Fe, Co58. In the compound CH2=CHCH2CH2C CH the bond between c-2 and c-3 is of the type(A) sp-sp2 (B) sp3-sp3(C) sp-sp3 (D) sp2-sp359. Which of the following compounds has the highest boiling point?(A) Ethane (B) Butane(C) 2- Butanol (D) Pentane60. In the molecule 3 2 CH C  CCH  CH , the maximum number of carbon atoms arranged linearlyis(A) 2 (B) 3(C) 4 (D) 561. When CaC2 is heated in atmospheric nitrogen in an electric furnace, the compound formed is :(A) Ca(CN)2 (B) CaNCN(C) Ca3N2 (D) Ca(NC)262. Lime is heated with coke at 2000oC. The organic product is treated with water to liberate(A) CO (B) C2H2(C) C2H4 (D) CH463. Which of the following does not give flame colouration(A) MgCl2 (B) BaCl2(C) CaCO3 (D) SrCO364. Nitrogen is an essential constituent of(A) Fats and carbohydrates (B) Carbohydrates and enzymes(C) Proteins and amino acids (D) Vitamin A and Vitamin B65. The substance not likely to contain CaCO3 is:(A) Bauxite (B) sea shell(C) Marble statue (D) Limestone66. Which of the following pairs contains amphoteric oxides:(A) BeO, BaO (B) BeO, Al2O3(C) Al2O3 , P2O5 (D) CuO, Na2O67. Bleaching powder is prepared from the reaction of:(A) Slaked lime and chlorine (B) Quick lime and chlorine(C) Burnt lime and chlorine (D) Calcium and chlorine68. Swimming pools are disinfected by bubbling through water a controlled quantity of:(A) Br2 (B) N2(C) Cl2 (D) O269. Identify species with an atom in +6 oxidation state(A) CrO2Cl2 (B)   36 Cr CN (C) 4 MnO (D) 26 NiF70. BF3 is a :(A) Bronsted acid (B) Bronsted base(C) Lewis acid (D) Lewis baseMathematicsStraight Objective TypeMathematics contains 20 multiple choice questions numbered 71 to 90. Each question has 4choices (A), (B), (C) and (D), out of which ONLY ONE is correct.71. 3.27 is(A) an integer (B) a rational number(C) a natural number (D) an irrational number72. If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product two numbers is(A) 203400 (B) 194400(C) 198400 (D) 20540073. The value of k for which the system of equations2x  3y  54x  ky  10has infinite number of solutions, is(A) 1 (B) 3(C) 6 (D) 074. The area of the triangle formed by the lines y=x, x=6 and y=0 is(A) 36 sq.units (B) 18 sq.units(C) 9 sq.units (D) 72 sq.units75. In a ABC,AD is the bisector of BAC , If AB=6cm , AC=5cm and BD=3, then DC=(A) 11.3cm (B) 2.5cm(C) 3:5cm (D) None of these.76. If x sin(90o  )cot(90o  )  cos(90o  ), then x =(A) 0 (B) 1(C) -1 (D) 277. tan5o  tan30o  4tan85o is equal to(A) 43(B) 4 3(C) 1 (D) 479. If one zero of the polynomial f(x)  (k2  4)x2  13x  4k is reciprocal of the other, then k(A) 2 (B) -2(C) 1 (D) -1