1. Two chairs (A and B) B) are in an empty room overnight. Chair A is made made of steel while chair B is made of wood. In the night and in the morning, the temperature of the room is !" #. In the morning, a person chooses $etween Chair A and Chair B as the seat $y feeling fe eling (touching) the chair and choosing one which feels warmer war mer.. %erson chooses && (B'A#1) (B'A#1) && as it feels warmer $ecause && (B'A#)&&& (B'A#)&&& has &&(B'A#*)&&& &&& (B'A#+)&&&& (B'A#+)&&&& than &&&(B'A#)&&& . (A) BLANK-1- Chair A, Chair B, neither chair (B) BLANK-2- metal, wood, air, human $ody (C) BLANK-3- higher, lower, different, same (D) BLANK-4- heat capacity capaci ty,, heat conductivity, electrical resistance (E) BLANK-5- metal, wood, air, human $ody
. Consider Consider a rope fied fied at $oth ends ends under tension tension so that that it is hori/ontal hori/ontal (i.e. (i.e. assume the the rope is along ais, with gravity acting along /ais). ow the right end is continually oscillated at high fre0uency n (say n1"" 2/) hori/ontally and in a direction along the rope3 amplitude of oscillation is negligi$le. The oscillation travells along the rope and is reflected at the left end. 'et the total length of rope $e l, total mass $e m and the acceleration due to gravity $e g. After initial phase (say a mintue or so), the rope has &&(B'A#1)&& wave, which is &&(B'A#)&& in nature. It results from superposition of of left travelling and right travelling &&(B'A#*)&& waves. This resulting wave has a fre0uency && (B'A#+)& that of oscillation fre0uency nu. 4imple dimensional analysis indicates that the fre0uency of can $e of the form- &&&(B'A#)&& . (A) BLANK-1- travelling, oscillating, stationary, stationary, regular (B) BLANK-2- transverse, longitudinal, regular, irregular (C) BLANK-3- transverse, longitudinal, regular, irregular (D) BLANK-4- e0ual to, half, dou$le, independent from (E) BLANK-5- s0rt (g 5 l ), s0rt ( m g ), s0rt ( m g l ), s0rt ( l 5 g )
*. 6hen I was a child, child, there used used to $e a fair in my town town during during the 7iwali 7iwali and Id festivities. festivities. Among the many things I saw s aw was a strange s trange puppet show. There There were three puppets, one of a man, another of a woman and the third one of a ra8shasa (demon). 6henever the ra8shasa was $rought close to the woman, she would turn her face away. But when the man was $rought close to her, she would turn $ac8 and face the man. I and my friends loo8ed at this show and argued for hours what caused the woman to turn her face. Choose one or more of the options $elow a$out my childhood eperience a$ove(A) The strange $ehaviour of the woman puppet was 1. definitely definitely $ecause $ecause someone someone was moving moving it with stic8s stic8s or strings. strings. . definitely definitely $ecause $ecause there were magnets magnets fied in in the heads of all three three puppets. puppets. *. could $e $ecause $ecause of magnets magnets in the heads of all three puppets puppets or someone someone moving them them with stic8s or strings. +. 9ust a random thing. thing. 4ince 4ince we were children then, then, we thought thought it was happening happening in a particular way. way. (B) If there were magnets fied in the heads the puppets puppets inside the head such that one end
of the magnet was at the mouth (:) and the other at the $ac8 of the head (B), then the arrangement of the north () and south (4) poles of the magnets must $e li8e 1. man- :, B43 woman- :, B43 demon- :, B4 . man- :, B43 woman- :4, B3 demon- :4, B *. man- :4, B3 woman- :4, B3 demon- :4, B +. man- :4, B3 woman- :, B43 demon- :4, B (C) ;ne of my friends stayed $ac8 one day at the show and 8ept loo8ing at the puppets for a long time. 2e as8ed the manager of the show to move the puppets in certain ways. The manager as a 8ind person and with my friend insisting, he agreed to do what my friend as8ed for. But he did not the friend if there were magnets in the puppets. But the net day, the friend told us that he was sure that there were magnets inside the puppets< faces. 6hat did he as8 the manager to do and what could he have seen= 2e must see the effect after as8ing for moving the puppets 1. $ac8wards towards each other. . at different speeds. *. up and down. +. ;n the same plane, $ut in different directions. +. >our teacher uses a weighing $alance to ta8e e0ual amounts of two su$stances, tartaric acid and washing soda, say 1g. ?ach is dissolved separately into 1"" cc of water. (A) In 1 drop of the acid solution and 1 drop of the $asic solution, we have 1. e0ual amount of acid and $ase respectively . e0ually acidic and $asic su$stance respectively *. acidity in one and $asicity in the other are not e0ual +. e0ual magnitude of the 0uantity @p2@ (B) Ta8e a few cc of the acidic solution in a testtu$e and mi a few drops of coloured phenolphthaline solution ((prepared in $asic medium)) into it. 6hich of the following may $e happening 1. The colour of the solution instantly changes pin8 . remains colourless as the colour of the added drops disappears *. the colour diffuses through the solution and finally disappears +. the colour diffuses through the solution and finally the entire solution ac0uires a faint pin8 colour. . 2ow many solutions are there to the e0uation 1 * + 1, where 1, , *, + are nonnegative integers= (A) 11+" . (B) 11" . (C) 1"+" . (7) 1"" . . The function f() is defined as followsf() if ³ " f() if £ " Then function f() at " is1. continious and differentia$le . continiuos $ut not differentia$le *. differentia$le $ut not continious +. neither continious nor differentia$le
. Consider a group of " people. If everyone sha8es hands with everyone else, how many handsha8es ta8e place= 1. 1!C . . "C . *. "C1! . +. " . D. A pair of fairdice is rolled. 6hat is the pro$a$ility that the second die lands on a higher value than the first= 1. 1 5 * . . 5 * . *. 1 5 . +. 5 1 . . . !. This 0uestion is $ased on $elow graph-
6hich num$er $elow represents the area of the shaded curve to the closest value. 1. . *. +.
1 1. *
1". Papago Problem : Tohono ;
1. 2acecposid Fo g wa8ial g wipsilo. . %i Fac GeGo8 Fa-cim. *. Ceposid Fo g wa8ial g wisilo. +. %i Fo cic8pan g ceco9. . %i Fo ceposid g wap8ial g wisilo. . Cip8an FaG Fa-Gi. . eo8 Fo g ceo9. D. eo8 FaG Fa-Gi.
A. I am spea8ing B. The man is spea8ing. C. I am wor8ing. 7. The cow$oys aren
K. The cow$oy is not $randing the calf. 11. Given below is an encrypted sentence.
SJ HVJ HMM GPVC BHI. LPBJ VJBHEC LP. – LHBZJM GJFAJXX Decode it based on the clues given below.
Clue-1: H stands f! A Clue-": stands f! E Clue-#: C stands f! $ Clue-%: L stands f! S Clue-&: I stands f! ' (A) *+e ,!d GPVC s deded as /////////// 1. fe!n ". 0!n #. an %. 0u!n (B) 1. ". #. %.
*+e ,!d HVJ s deded as /////////// 2e le de a!e
(C) *+e ,!d LPBJ s deded as ///////////// 1. se ". s!e #. sle %. ste
12.Swahili, a Bantu language, is spoken in the southern of Africa and along east coast of Africa. The following are certain dates in Swahili given along with their English translations in a random order. Match the Swahili dates to the correct English translations Swahili Dates:
English translations in random order:
1. ta!e+e tatu 'se0a 3uas
A. Mnda45 6t0e! &t+
". ta!e+e tan 67t0a 3ua2l
B. *uesda45 A2!l "nd
#. ta!e+e 2l A2!l 3uanne
C. 8ednesda45 6t0e! &t+
%. ta!e+e tan 67t0a 3uatatu
'. *uesda45 A2!l %t+
&. ta!e+e nne A2!l 3uanne
E. Sunda45 6t0e! &t+
9. ta!e+e tan 67t0a 3uatan
F. Satu!da45 'ee0e! #!d
J. 4unday, 7ecem$er *rd 2. 4aturday, Kuly 1st Now, translate the following into Swahili using the given words:
tatu
tarehe
pili
jumatano
jumapili
(A) 8ednesda45 A2!l #!d: /// /// /// /// (B) Sunda45 'ee0e! "nd: /// /// /// ///
Disemba
tarehe
Aprili
