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THE AB CLASSES/RAMANUJAMTST/2021, , THE AB CLASSES, , ASSI, VARANASI, , THE AB CLASSES —_RAMANUJAM TEST SERIES, , MATHEMATICS, (Single Correct Choice Type), This section contains 50 multiple choice questions, Fach question has four choices (a), (b), (c} and (d) out of which ONLY ONE is correct,, , 1, 73412130 is exactly divisible by, , , , a3 G7 49, 2, The LCM ofS an, , at bs «2 a=, 3. How many com@osite numbers are in between 50 and 100 (inclusive of SO and 100)?, , a.ag b.40 41 4.42, 4. Which of the following is not a perfect square?, , a.12,544 b. 3136 c. 23,832 4.1236, 5. The greatest 2-digtt number which is a perfect square ts ., , a7 b.927 ©, 951 4.972, , , , , , , a —, 7. W3lx- 2) = 507, they x can be, a.13 b. 12 6.35 414, 8, Thevalue of VI72"— 108e is ., a55 b.45 635 4.65, :, 9, Evaluate (15)?, a. 1024 b. 512 «256 4.128, 2 te, 10. 64) * 64) x 640 ~, : :, rd «32 as, 1. VOD «, a0.2 6.06 4.08, , , , , , 12. 81) x 97 x27”, ad. b3 i], 13. if 7" = 7401, then 7°? =, at be «7 4.49, , 226.2, 14. nd the value of (==)?, , , , , , — b= = 4 z, 18. 4x [256s + (243)¢=, at bs et da, 16. ifa+== 3, then the value ofa’- is, ad b.é ©? ds, 17. ifs’ += 27, then the value of a — “is, a45 b. +6 47 428, 18. If the value of a” + is 786, then the value of a —=is, a.£23 b. £25 e417 4. £28, 19. Expand (5 ~ 2)?, , 7, , 20. Expansion of [x - y) + (yz) +(z-xP is ., a. 2x? + 29422" b. fe yly-2)lz-x) «0 d. 34x - ply + 2)lz = x}, , 21. The aumber of enrolments in a schoo’ has increased fram 1800 to 2016. The percentage increases im the enralments is, , {a) 10% {b) 10% (c) 12% {d) 13%, 22. Anumber, when decreased by 20% becomes 136. What is the number?, , (a) 160 {b) 150 (c)i70 {d} 140, 23. IFSP. = Rs, 900 and loss = 25%, then CP. is, , (a) Rs. 1200 {b) Rs. 1033 (c} Rs. 2150 {d} Rs. 1250, 24. Ifa book bought for Rs. 500 is sold to make a profit of 25%, then the selling price is, , fa) Rs. 600 (b) Rs.625 {c) Rs. 700 Id} Rs. 650, 25. The present age of 2 father and that of his son are in the ratio 7:1, After 4 years, the ratio will be 4:1, What is the son's present age in, , years)?, , (a}3 (b)4 (as {a6, 26. The compound interest on Rs. 4000 at 10% per annum for 2 years 3 months. Compounded annually, is, , (a) Rs. 916 {b) Rs. 900 (c} Rs. 962 {d} Rs. 896, , 1|Page

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27., , 28., , 31., 32., , 33., , , , THE AB CLASSES/RAMANUJAMTST/2021, , , , The compound interest on Rs. 6250 st 8% per arnum for 1 year, compounded haif yearly, is, (a) Rs. 500 {b) Rs. 520 (c} Rs. SSC (d) As. 512.50, At what rate per cent per annum wil 2 sum of Rs. 7500 amount to Rs. $427 in 2 years, compounded annuzily?, {a) 4% (b) 5% (c) ew {d} e%, ‘The parallel sides of a trapezium measure 14 cm and 18 cm and the distance between them is 9 cm. The area af the trapezium is, (a) 96cm? {h) 144 cm? {c) 189 cm? {d} 207 em*, The lengths of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128 om?, The distance between the paraliiel sides is, (a) 9m (b) 7 om fc) Bem {d} 12.5 cm,, {73° - 636") =?, {a) (7a—9b)198 + 7b) (b) (72 -9b\(7 + 9b) (c} 9a 30)la + 3b) (cd) Tia - 3b)199 + 3b}, (2 -50x"} =?, fa) 2(2 - Sx)’ (b) 2(1 + 5x)’ (c) (2—Sxyf2+ Sx) (d} 22 - Safa + 5x), ab-mn+an-bm=?, {a) (@-b)(m~n} (b) (a mi(b +n) (c} (anim + b) {d} (m- ain - bp, abea=bete?, (a) (@- 10-1) (b) (1 -a)l1-b) (co) (a- 11 -b) (d} (1 - aXb- 2), w3-24 S21, thenn=?, {a} 30 (b) 42 (0) 36 {a} 28, , SY ai thenx =?, , ieee @, (a)4 (b)G (js {d} 12, if 3(t 3) = S{2t +1), then t=?, The base af an isasceles trangle is Gem and its permeter is 16cm. Length of each af the equal sides, , {a)4cm (b) Sem. (c)3em [d) 6 em, , , , , , , , , , 39. Number of boys and girls in a class are in the ratio 7:5, The number of bays is 8 more than the number og girts, The total class strength, is, (3) 56 fb) 52 (ce) 48 {0} 36, 40. The value of (3'+4')*+S*is, 2 z x, )> (le ii, a4 a, (b) => (cj) 29 is, Fed a“ ue, , WE as wis, 43. The value of xforwhich(=) x (=, fa)-1 {b)1 (2 {d}3, 44, 1(2""* + 10) + 7 5, then xis equal to, (a) -2 (b)0 (a {a}2, 45. Which af the following is a Pythagorean triplet?, (a) (2.3, 5) () (5, 7,91 (69,11) [d} (8, 15, 17), 46. What least number must be subtracted from 176 to make it 4 perfect square?, (3) 16 fb) 10 (7 {a} 4, 47. (x —4x+4) + (x-2) =?, fa) &«-2) (b) (#2) te} (2 =») (dh (2 exe), : 1, a. if(x—+) = 6,then (x*+5) =?, (a) 36 (b) 38 tc) 32 (a)58, 49. if (a-b) = 7 and ab 9, then fa? eb") =?, (a) 67 fb) 31 (ce) 40 (d) SB, 50. Ix = 10, then the walue of (4x7 + 20x + 25) = 7, (2) 256 (b) 425 (c) G25 (d} 575, _, PHYSICS, (Single Correct Choice Type), ‘This section contains 17 multiple choice questions. Each question has four choices (a), (bl, {¢} and id} out of which ONLY ONE Is correct., 51. A wooden block is floating in water contained in a beaker, During the free fall of the beaker, the up thrust an the block will be, {a} equal to the weight of the block (b) slight'y more than the weight of the block, {c) slightly less than the weight of the block (cl zero, 52. When a weight of 100g is hung from the spring, its length is 9 cm. When a weight of 150 g is hung from it, its length is 11 crm. what is, the length of the spring when there's no weight hanging from it?, fa}2cm {(b)4cm (ce) Sem {d} 7 com, 53. Abox was pushed over an equal distance on four different surface. The farce needed for each surface was recorded in the table below :, Surface Pp a R $s, Farce needed (N) 550 ams, 500 450, ‘On which surface wes the friction least?, far fh) Q (jk Id}s, 534. Avehicle shows down after applying brakes because of, {a) magnetic force (b) frictional force {c) electric force Id} none of the abowe, SS. Friction is a/an, {a) self-adjusting force (b) necessary evil, {c} important force in daily life (d) all of the abowe, , 2|Page

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THE AB CLASSES/RAMANUJAMTST/2021, 56. If the temperature increases, then what happens to the frequency of the sound by the organ ppe?, , (2) Increases {b) Decreases (c} Unchanged {d} Can't say, $7. Amedium can carry a longitudinal wave because it hos the property of, , {a) Mass (b) Density (c) Compressibility {d} Elasticity, 58. Avolin string is made to vibrate. What would cause the pitch of the note nse?, , {a) Increasing the frequency of vibration (b) Decreasing the frequency of vibration, , {c) Increasing the amplitude of vibration (d) Decreasing the amplitude of vration, 59. An electrolyte, , (a) Has Positive charge, , {b) Has negative charge, , {c} should be able to conduct charge without dissociating, {d) Should be able to form pesitive and negative ions, 60. When copper rod donates electrons ta hydragen sans, It gains, , , , {a) Positive charge: (h) Negative charge (c) Na Charge {d} Cannot say, 61. Lightning occurs due to, , {a) Electric discharge {b) Rain (co) Wind [d} Lord Varun’s anger, 62. The objects which emit light of their won are called, , (2) transparent objects {b) transiucent object (c} luminous object {d} nom-tuminous object, 63. The shadow of an object is formed in the drection, , {a) same side of the object (b) cpposite sde of the object, , {c} on the same place of the cbject (d) none of these, 64. Part of the Eye which contrals the light entering is called, , fa) iris (b) lens (c) comea [d} retina, 65. Atube sight isa, , {a} cold source of light — (b) hot source of light (cl incandescent source of light{d) none of these, 66. The branch of science which deals about the universe and heavenly bodies is called, , (2) astrology (b) astronomy (c] biology Id} anatorny, 67. Which of the planet is the brightest —, , {a) Mercury fh) Venus (c) Mars {d} Jupiter, , CHEMISTRY, (Single Correct Choice Type), , This secting contains 17 multiple chaice questions. Fach question has four choires (a), (b), {¢} and [a] out af which ONLY ONE is comet., 68. An alternative for expensive plastic recycing is, , {a} reduce recycling plastic (b) reduce usage of plastic, {c) developing of biodegradable plastics d) All of the above, 69. Which of the following has the same monomer unit?, {a) Nyon and cellulose (b) Folyester and nyfon {c) Rayan and nylon {d} Cellulose 2nd r2yon, 70. To which of the follawing does the 48 principle apaly the most?, {a) Synthetic finer (b) Natural fiber (c) Metals {d) Plastic, 71. The fibers that are obtained from cotton, jute and silk are known as (a) manmade oF synthetic fibers (b) natural fibers (c) artifxial Fbers {d} plastics, 72. For which of the following purposes is a coating, (2) Fire proof plastic. {b) Good conductor of hest. {c} Remouldable (d) Strong and flexible., , 73. On the basis of following features identify the correct fiber, , 1. They sre very fine stands of pure glass, , Il, These fibers are used in makng madical equipments, , IL. These fibers are used ta transmit messages in modern communication, , (a) Optical fibers {b) Glass fibers (c) Blended fibers {d} Polyester fibers, 74, On the basis of following features identify the correct fabric, , |. itis prepared by condensation polymerization of two monomers, , Il. Itis very durable and can be recycled, , ML It is use in making curtain, draperies and magnetic recording tapes., , IV. This fabric have two common names. dar Nylon, , , , , , , , , , , , , , , , {a) Nylon {h) Rayon (c} Polyester {d} Acrylic, 75. Rusting of iron can be prevented by, , {a) alloying (b) painting (c} galvanizing Id} alt of these, 76. H,0 (Water) is, , {a) an acidic oxide (b) a basic oxide (c)aneutral oxide (d}an amphoteric oxide, 77. Siver foil is used for wrapping food. Which property of sliver is used for this?, , (a) Density fa) Malieability (c} Ouctility {d} Strength, , 78. Column -t Column - it, , A_[ Hardest Non-metal lid aphive, , B | Non-metal conducts electricity Q. [Sculpture, , CJ Non-metal with luster R_[Oemond (Carton), , C J Non-metal used as fungicide s dine, , (a) 498, BP, C95, 09Q (bPADQ, BOP, C95, D9, , (ce) ADP, 89k, C95, 090 (a) APR, BOP,C3Q, DOS, 79. Hydrogen gas is passed through oil in order to, , (a) convert lower of to higher oil (b) convert liquid oil into solidified of, , {c) convert vegetable oi! to vegetable ghee (d) all the above statements are wrong, 80. Zn +H,0 (Steam) > A+ 8, In the equation A and Bare, , (2) ZnMonty {b) Zn; & O, (c] 2n0; & O; {d} MO BH;, , 3|Page

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THE AB CLASSES/RAMANUJAMTST/2021, 81. Non-metals are used in —, , (2) Aero planes (b) making machinery (c) water boilers {d} Fertilizers, 82. Beaker ‘A’ contains CuSO, solution & zinc pieces. Beaker ‘B’ contains ZnSO, solution & copper pieces. Chemical reaction wil take place, ins, {a) Bath the heskers ‘A’ and ‘B’ —(h) Bezker ‘a’ (c) Beaker ‘a’ {d} None, 83. Coal gas is a mixture of, (a) CH, +H, 1 CO (b) CeFin + Hy (ce) CA 1H 0 {d} CoH, # Hy * Oy, , 84, Sta tol a piece of burning charcoal ané collected the gas evolved in a test tube, The gas settled at the bottom of the tube, whikh of the, following observations is correct?, , , , {2) Ges evolved is scidic & heavier than air (b) Gas evolved is basic & heavier than sir, {c} Gas evolved is basic & Ighter than air (d) Gas evolved is acdic & lighter than air, BIOLOGY, (Single Correct Choice Type), , This section contains 16 multiple choice questions. Each question has four choices {a}, (b), {c} and dl] out of which ONLY ONE is correct, , , , 85. Another name for oviduct is, , {a} cervix (b} seminal vesicles (c) prostate gland {d) fallopian tube, 86. A zygote is a/an, , (3) implanted fertilized egg (b) fertilized ege (c) owulated egg {d) blast cyst, 87. The number of nudei/nucleus present in a zygote is:, , {a} None (b] Two (ch one (d) Four, 88. Identity trom the following the process of asexual reproduction in hycra., , (3) Budeing (b} Speculation (c) Fragmentation ({d) Binary fissior, 89. The scientific term used for anima’s that give birth to young ones is:, , {a} nocturnal (b} metamorphosis (c) oviparous (d) viviparous, 90. How many ova are released by the ovaries every month?, , {a} One {(b) Two (c) Three (4) Four, , 91. Which of the following statements is correct?, (a) Ovaries secrete male sex hormores, estrogen, {b) Uterus is the site of fetal growth during pregnancy, {c) Oviduct ts Involved In conduction of sperm towards uterus, {d) Epididymis is involved in storage, nutrition and maturation of ova., 92. The correct sequence of organs is the male reproductive system for transport of sperms is, , {a) testisvas deferens urethra (b) testis > ureterurethra, {c) testis > urethra > ureter (d) testis > vas deferens ureter, 93. Qut of two daughter cells produced as a result of binary fission in Amoeba, {a} one 6 large and the other Is smal (b) one & uninucleate and the other Is without nuceus, {c) one is spherical ard the other is irregular (d) the two are nearly equal size anc identical,, 94, How many chromosomes does 3 mature human sperm cell contain?, {apt (b) 2 (c) 23 {d) 46, 95. The most abundant compounc In cytoplasm Is, {a} fat (b] water (c} protein (d) carbohydrates, , 96. Which best cescribes the structure of the plasma membrane?, {a} proteins sandwiched between two layers of phospholipid, (5) proteins embedded in two layers of phospholipid, {c) a layer of protein coating a layer of phospholipid, {d) phospholipids embedded in two layers of protein, 97. Active transport through the plasma membrane occurs through the action of, , (a) diffusion (b] membrane proteins (c) ONA (d) water, 98. Véhat part of the cell is responsible for breaking down and digesting things?, , {a} ribosomes {b} bysosomes (c) encoplasmic reticulum —{d) vacuole, 99. Vhat part of the cell serves to process, package and export proteins?, , (a) ribosomes (b} endoplasmic reticulum — (c) nucleolus (d) Golg! apparatus, 100. Which of the fol owing organetles does not have membrane?, , {a} Ribosome {b} Nucleus (c) Chloroplast {d) Mitochondria, , 4|Page