NATIONAL TALENT SEARCH EXAMINATION-2017, NTSE STAGE-II SCHOLASTIC APTITUDE TEST (SAT)_HINTS & SOLUTIONS

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1 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II SCHOLASTIC APTITUDE TEST (SAT)_HINTS & SOLUTIONS 5. In M O 3 valency of metal M +3 So the formula of metal nitride will be M +3 N 3 M 3 N 3 MN Ans. () is correct 6. Alloys are the homogeneous mixture of metals or metals & non metals Brass is an alloy of copper and zinc Brass Cu Zn 70% 30% Alloys are solid-solid solution Ans. (3) is correct 7. Given data mass of glucose.80 gm Molecular mass of glucose (C 6 H O 6 ) 80 gm.80 no. of moles 0 moles 80 Number of molecules of glucose molecules of C 6 H O 6 Total number of oxygen atoms present in glucose Number of moles of water 36g 8g moles Number of H O molecules H O molecules so no. of oxygen atoms in water Total number of oxygen atoms present in solution i.e.(water + glucose) oxygen atoms Ans. () is correct 8. Given data 35 Cl 5% x 37 Cl 75% x average atomic mass Ans. () is correct px px p p u Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

2 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II Turmeric solution gives reddish brown colour in basic medium From () potassium acetate (CH 3 COOK) -salt of strong base and weak acid From () copper sulphate(cuso )-salt of strong acid & weak base From (3) sodium sulphate(na SO )-salt of strong acid and strong base From () ferric chloride(fecl 3 )-salt of weak base & strong acid so Ans. () is correct. 0. Cu S + 3O Cu O + SO Metal M is copper X is cuprous sulphide (Cu S) & Y is Cuprous oxide (Cu O) Cu O + Cu S 6Cu + SO This is an self reduction reaction. Ans. () is correct. Allotropes (Graphite & diamond) having same chemical properties but different physical properties. Ans () is correct. O C OH COOH is carboxylic acid group O C CH 3 O R C O R' is ester group O Ans. () is correct 3. A,E,G are alkali metal they always form ionic compound with 6 & 7 group member J is alkaline earth metals & they form ionic compound with 6 & 7 group member 6 th group elements (R & Q) form covalent compounds Ans. () is correct. When acid reacts with metal carbonate or bicarbonates gives CO gas which is colourless and odourless gas & turn lime water milky. Metal carbonate + CH 3 COOH Salt + CO (x) CH 3 COOH + CH 3 OH (X) Conc.H SO CH 3 COOCH 3 + H O ester (Methyl ethanoate, sweet smell) Ans. () is correct (C H O i.e. CH 3 COOH) Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

3 5. NH Cl (solid) NaOH (aq) (A) Heat heating Cooling (NaCl + NH 3 + H O) Conc. HCl NH Cl (C) (D) Ans. () is correct. NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II NH 3 + HCl (vapour) (vapour) (B) H O Shake Acidic solution (E) (NH OH + HCl) 6. According to reactivity series Zn is more reactive than Ag so it can displace Ag. Ans. () is correct. 7. Due to latent heat, temperature. remains constant during state conversion, In case of water temperature. remains constant at 0ºC (m.p.) due to latent heat of fusion and also remains constant at 00ºC due to latent heat of vaporisation Ans (3) is correct 8. Velocity A B O C During OA velocity is uniform acceleration is constant and positive During AB velocity is constant acceleration is zero During BC velocity decreasing uniformly acceleration is constant again, and negative. 9. u m V 0.m f v u P f 0. ( ) ( ) 8 P D That means concave lens of power D. Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-3

4 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II A 30. b u 5 m/s B V u gt O 5 0t 5 0t t 0 So the time taken to reach from A to B is sec. H ut + gt H 0 H 5 m (Height between A & B) Height Covered when the ball rebound S ut gt S (0.5).5 m Net displacement m 3. Since Force is equal to rate of change of momentum Mv M F v t t Volume density F v t A F v t A v t F v t F v A (Hint : Area r v d F D ) Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

5 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II A 8kg B kg 0 kg 8 kg N F net Ma net 5 N ma 5 0 a 5 N a 0 5 N a.5 m/s N It will show the reading of the buoyant force exerted by the liquid on the block. Actual weight Appr. weight B.F. 800 g 300g B.F. reading of weighing machine is 500g. 3. t 50 sec GM g r GM g (r) GM g r g g H H g p get e gpt p t p g e t e g e t p ge t p t p 5000 t p 70.7 sec. 35. Since sound is traveling from water to air. Therefore frequency remains constant it depends on source of sound. Now v f If v will decrease then will also decrease as f is constant. Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-5

6 36. Initial volume Final volume A L A L r r r r R R A R R R r R r R r R r A r r r r Now, D 5 D NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II r 5 r. so r R 5 R r R R 65 65R R 37. According to law of conservation of momentum. mu (M + m) v v mu M m Loss of kinetic energy mu (m + M)v. mu mu (m + M) M m mu mu m M m M M m Mmu. (M m) Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-6

7 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II sin i c sin i c So, µ (7) () 89 sini c Initial velocity u 0 Force on charge F qe F ma qe ma qe a m s ut + at qe d t.() m When charge is doubled. d qe m qe t m t t t t. t qe m t.() 0. current in wire AB and PQ are in same direction. Therefore they will attract. current in wire AB and RS are in opposite direction. Therefore the will repeal each other. magnetic field around PQ more than RS. So force on the arms PQ and RS will be unequal and opposite. Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-7

8 . Cube of a natural number is of the form 9 m, 9m +, 9m + 8 So, possible remainder are 0,, 8 Sum Option ().. Given P() 3 P(3) 5 Let r(x) ax + b So P(x) (x ) (x 3) q(x) + ax + b P() a + b a + b 3 P(3) 3a + b 3a + b 5 r(x) ax + b x + a r( ) ( ) + a b r( ) 0 Option (3). 3. px + 3y (p 3) 0 x + py p 0 For infinitely many solution p 3 p 3 p p From I and II I and II P 36 p 0 P ± 6 p 6 So p 6 Option (). NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II b c 0 (6 b) 6 c 0 c 6 6 b 3a 6 a + a ( ) ( ) 0,. Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-8

9 5. First term a Given NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II a + a + d + a + d + a + d [a + 5d + a + 6d,.., a + 9d] 5a + 0d (5a + 35d) 0a + 0d 5a + 35d 5a 5d 3a d a d 6 30 S 30 [ + 9 ( 6)] 5 [ + 9 ( 6)] 5 ( 70) 550 Option () 6. a r b 3 r S K.T. a k r k r k 3 b 3 3 3r 3 r. k AT AT 6 AB AP r 8 3 r 3. Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-9

10 b 7 7 or or or or or or -9-8 b Total values are possible for b. NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II r 5. r b b r b r (x ) (x ) 0 (x ) (x ) 0 x x x + 0 x x x + 0 x x( + ) + 0 x x( + ) + 0 D is same for both the equations ( + ) ( + ) + + ( ) ( ) Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-0

11 + 0 ( ) ( + ) 0 ( ) ( + ) 0 or + NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II min. 3 revolution. revolution 3 min. r 3 min. 3 r min. r' 3 r r' min. 3 r 6 min. 5 revolution 50 min. min. 50 revolution. 5. CA CB (x ) + (y ) (x ) + (y + ) x + x + y + y x + x + y + + y x 6y 0 x 6y X 3y AB AC ( ) + ( + ) (x ) + (y ) + 9 x + x + y + y x + y x y 5 0 9y + y (3y) y 5 0 0y 0y 5 0 y y 0 8 y y ± 3. C( 3 3 3, 3 or 3 3 3, 3 C is in or. 3 Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

12 53. Let the side are x, x, 3x v (x) (x) (3x) 6x 3 ATQ 6x 3 00 x x 6. maximum number of cubes 6x NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II ,, 3, 8 9, 0,., 5, 6,, 5, 6, 7 7, 8, 9, 0,,, Mean N 7 N 875 when N and N divide by N give remainder r. Then N r, N r are divisible by N. (N r) (N r) is also divisible by N. ( 7 r) (875 r) N 397 N, 7 N 7 Sum of digit BE sin (90- ) BE cos 5 BE 5 AB 5 Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

13 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II E 3, P(x) x + 5kx + k + 5 P( ) 0 0k + k k 0k k 9, But P( 3) 0 9 5k + k k 5k + 0 (k ) (k ) 0 k, from () and (). k 9...() () 58. cos + sin m ( sin ) + sin m sin sin + m sin 3 + m m min when sin 0 m min 3 m max when sin 0 m max A + 3B + C 6.() 3A + B + C 35.() () 3 + () We get A + 3B + 7C Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-3

14 NATIONAL TALENT SEARCH EXAMINATION-07, NTSE STAGE-II Let side of equilateral triangle is a 5 tan a 0 tan (90 ) a cot a 0 tan 0 a 5 a a 0 a 5 0 a 30. Let the angle of elevation of the top of the pole from D is. Let AD x. 5 0 tan x 30 x 70 9x x 70 3x 70 x. 3 Corporate Office : CG Tower, A-6 & 5, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) PCCP Head Office: Plot No. A-5 [A], IPIA, Near Resonance CG Tower Contact : , NTSE STAGE-II-07 Toll Free : CIN: U8030RJ007PLC009 PAGE-

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