I.Q sf dxTjk"0f{ k|Zgx? (Special Set) 20. 27 : 47 : : 32 : ?

a) 70 b) 92 c) 66 d) 84
A) lbOPsf] qmd >]0fLdf k|ZglrGx (?) /flvPsf] 7fpFdf s] x'G5 <
1. J, F, M, A, M, J, ?
a) K b) B c) J d) T C) b]xfosf k|Zgdf ;d"xdf gldNg] kQf nufpg'xf];\ .
2. A, C, G, M, ? 21. a) /ftf] b) sfnf] c) cUnf] d) ;]tf]
a) T b) U c) V d) W 22. a) ;ft b) bz c) P3f/ d) t]x|
3. AZ, CX, FU, ? 23. a) jiff{ b) z/b c) hf8f] d) u|Lid
a) IR b) IV c) JQ d) KP 24. a) xft b) v'§f c) sfg d) af]nL
4. 4, 6, 12, 14, 28, 30, ?
25. a) cdnf b) sfutL c) lga'jf d) d]jf
a) 32 b) 60 c) 62 d) 64
26. a) 1236 b) 2346 c) 5566 d) 5686
5. 3, 15, (?), 63, 99, 143.
27. a) 1 (5) 2 b) 3 (13) 2 c) 2 (20) 4 d) 1 (17) 8
a) 27 b) 35 c) 45 d) 56
28. a) 12 b) 20 c) 30 d) 28
6. 0, 6, 24, 60, 120, 210, (?)
29. a) 50 b) 101 c) 65 d) 37 e) 120
a) 240 b) 290 c) 336 d) 504
30. a) 1, 4, 3, 8 b) 2, 4, 3, 9 c) 3, 2, 3, 8 d) 5, 3, 2, 9
7. 2, 6, 12, 20, 30, 36, (?)
a) 50 b) 52 c) 54 d) 56
8. 2, 3, 3, 5, 10, 13, (?), 43, 172, 177 D) tn lbOPsf] dWo] ;xL ljsNk 5gf}6 ug'{xf];\ .
a) 23 b) 38 c) 39 d) 40 31. olb ROSE nfO{ DRNQ egL sf]8 ul/G5 eg] LOTUS sf] sf]8 s] x'G5 <
9. 2, 15, 4 12, 6, 7, ?, ? a) MPUVT b) RTTNK c) RTUNK d) RTSNK
a) 8, 8 b) 8, 0 c) 3, 8 d) 4,8 32. olb BOMBAY nfO{ MYMYMY n]lvG5 eg] TAMILNADU nfO{ s;/L n]lvG5 <
10. 1, 5, 14, 30, 55, 91, (?) a) TIATIATIA b) MNUMNUMNU c) IATIATIAT d) ALDALDALD
a) 130 b) 140 c) 150 d) 160
33. olb ALTERED nfO{ sf]8df n]Vbf ZOGVIVW n]lvG5 eg] RELATED nfO{ s] n]lvG5 <
a) IVOZGVW b) IVOZGWV c) IVOGZVW d) VIOZGVW
B) lbOPsf] ljsNkx?dWo]af6 ;xL ljsNk 5gf}6 ug'{xf];\ .
11. Norway: oslo: : Thiland ? 34. olb FORGE sf] sf]8 FPTJI eP CULPRIT sf] sf]8 s] x'G5 <
a) London b) oslo c) Bankok d) paris a) CSJNPGR b) CUMQSTU c) CVNSVNZ d) CXOSULW
12. France: Paris: : Egypt? 35. olb TABLE = GZYOV eP JUICE = ?
a) Havena b) oslo c) cairo d) Rome a) OZLFJ b) QFRXV c) HOFAD d) QZHMT
13. dfs'/f] hfnf] ePem} tnsf] s'g ldN5 < 36. lgDg k|Zgx?sf] nflu lgb]z
{ g {36 – (i) / (ii)} Ps dfq ;+Vofx?sf] ;d'xåf/f Pp6f zAbnfO{ lbOsf] ljsNkx?
a) d;L M snd b) efn] M kf]yL c) lzIfs M ljBfyL{ d) slj M sljtf dWo] s'g} Psdfq ljsNkn] k|ltlglwTj ul/Psf] 5 . ljsNkx?df lbOPsf] ;Vofx?sf] ;d"xnfO{ lgDg adf]hLdsf]
14. r/fM u'F0f M M 3f]8f M < b'O{ d]l6«S;x?df b'O{ ls;Ldsf juf{gq' mdx?n] hgfOPsf] 5 . d]l6«S; I sf] 7f8f] nx/x? / t];f]{ k+lQmx?nfO{ O b]lv
a) u~hf b) ta]nf c) xfQfL;f/ d) 6]an 4 c+sx?n] hgfOPsf] 5 . To:t} d]l6«S; II sf] 7f8f] nx/x? / t];f{] k+QmLx?nfO{ 5 b]lv 9 c+sx?n] hgfOPsf] 5 .
15. Circle : Circumference : : Square: ? d]l6«S;x?nfO{ lgDg cg';f/ hgfpg ;lsG5 . h:t} 'H' nfO{ {11, 23, 42} / "K' nfO{ {58, 77, 96} cflb . To;}
a) Volume b) area c) diagonal d) perimeter u/L tkfO{n] k|To]s k|Zgdf lbO{Psf] zAbsf] nflu Ps ;+Vofx?sf] ;d"x kQff nufpg' kg]5{ .
16. 7 : 51 : : 13 : ? Matrix I Matrix IJ
a) 170 b) 169 c) 171 d) 102
17. 17: 35 : : 20 : ? 0 1 2 3 4 5 6 7 8 9
a) 40 b) 41 c) 42 d) 43 0 A E S T H 5 P O R K L
18. 4: 32 : : 8 : ? 1 T H A E S 6 K L P O R
a) 34 b) 68 c) 92 d) 128 2 E S T H A 7 O R K L P
19. 162 : 9 : : 310: ? 8 L P O R K
3 H A E S T
a) 33 b) 27 c) 16 d) 4 9 R K L P O
4 S T H A E
i) EAST: Non-verbal Reasoning Test
A) 44, 32, 21, 03 B) 32, 31, O2, O4 C) 20, 43, 33, 11 D) 13, 12, 14, 10 -czflAbs tfls{s k/LIf0f_
ii) ROSE : (A) Series ->]0fL_
A) 95, 75, 02, 32 B) 88, 76, 31, 32 C) 86, 67, 33, 44 D) 57, 87, 32, 33
E) Find the missing character from among the given alternatives. lgb]{zgM tn plNnlvt k|Zgsf] klxnf] nx/df afofF b]lv bfofF ;lrq sf]7fx? lglZrt lgod cg';f/ qmda4 /x]sf
37. 5g\ . o;} lgod cg';f/ bf];|f] nx/sf] s'g lrqn] klxnf] nx/ kl5sf] qmd k'/f u5{ ;f] kQf nufpg'xf];\ .
81 9 49 100 :KLFK¿JXUHVKRXOGUHSODFHWKHTXHVWLRQPDUN " 
439 ? 1)

A) 8710
16
B) 1078
64
C) 8107 D) 789 ?
38.
11 77 21 87 41 ? (a) (b) (c) (d)
2)

?
88 108 148 (a) (b) (c) (d)
A) 107 B) 97 C) 189 D) 67 3) = = + +
39. + = + +
5 4 7 8 4 12 = + + = = =+= + =
(a) (b) (c) (d)
4)

27 53 ?
A) 20 B) 22 C) 18 D) 21 (a) (b) (c) (d)
40. olb 28 ÷ 43 = 4 / 33 ÷ 47 = 3 eP 72 ÷ 48 = ? 5)
a) 6. B) 24 C) 4 D) 8

(a) (b) (c) (d)

6)

(a) (b) (c) (d)

7)

(a) (b) (c) (d)

8)

(a) (b) (c) (d)

9) 18)
? < < < < <

<

<

<

<
(a) (b) (c) (d) (a) (b) (c) (d)
10) 19)

?
(a) (b) (c) (d) (a) (b) (c) (d)
11) 20)

?
(a) (b) (c) (d) (a) (b) (c) (d)
12) 21)
?
(a) (b) (c) (d) (a) (b) (c) (d)
13) 22)
?
(a) (b) (c) (d) (a) (b) (c) (d)
14)
23)
?
(a) (b) (c) (d)
(a) (b) (c) (d)
15)
> > < < > < > < < < > < < < > < <
> > > > < < > < > < > < < < > < > 24)
> > > > > < < < < > <
(a) (b) (c) (d)
16) (a) (b) (c) (d)

I V N E Y A M L
I

25)

(a) (b) (c) (d)

17) (a) (b) (c) (d)
26)
(a) (b) (c) (d)
(a) (b) (c) (d)
27) lgb]{zgM tn lbOPsf lrqx?df z'? / clGtdsf] gfd glbPsf] lrqx? ;lx 5g\ . gfd glbPsf] z'?sf] lrqn] qmdsf]
z'?jft ub{5 eg] gfd glbPsf] clGtd lrqn] qmdsf] k"0f{tf lbG5 . gfd lbOPsf] lrqx? a, b, c, d / e dWo] s'g} Pp6f
unt 5 . kQf nufpg'xf];\ .
(a) (b) (c) (d)
35)
28)
+ + + +
+ + +
(a) (b) (c) (d) (a) (b) (c) (d) (e)
36)
29) – – – –
× × + × + × + +
(a) (b) (c) (d) (a) (b) (c) (d) (e)
37)
30)

(a) (b) (c) (d) (e)

(a) (b) (c) (d) 38)

lgb]{zgM tn lrqdf gfd gePsf] lrqn] qmdsf] ;'?jft ub{5 afFsL qmda4 ?kdf /xg' kg]{ x'G5 t/ lrqx? qmda4
?kdf /x]sf 5}gg\ . lrqx?sf] qmd ldnfpgsf] nflu lrqx? cbnL abnL ug{' kb{5 . To:tf] cbnL abnL x'g] klxnf]
(a) (b) (c) (d) (e)
lrq s'g xf] < olb qmd ldn]s} ePdf pQ/ 'E' /f]Hg'xf];\ .

31)

(a) (b) (c) (d) (e)

32)

(a) (b) (c) (d) (e)

33)
+ ++ + ++
+ + +++ ++
+ +
(a) (b) (c) (d) (e)
34)

(a) (b) (c) (d) (e)

(B) Analogy -;d?ktf_ 10)
lgb]{zgM k|Zgdf lbOPsf] lrq 1 / 2 Ps cfsf{;Fu s'g} k|sf/n] ;DalGwt 5g\ . bf];|f] nx/sf] lrqx? A, B, C, D
dWo] ;f]xL lrq /f]hL lrq 3 / 4 df ToxL k|sf/sf] ;DaGw :yflkt ug'{xf];\ .
?
1) 1 2 3 4 (a) (b) (c) (d)

? 11)
?
1 2 3 4 (a) (b) (c) (d)
2) 1 2 3 4 (a) (b) (c) (d)

? 12)

1 2 3 4 (a) (b) (c) (d) ?

3) 1 2 3 4 (a) (b) (c) (d)
? 13)

4)
1 2 3 4 (a) (b) (c) (d) ?
? 14)
1 2 3 4 (a) (b) (c) (d)

5)
1 2 3 4 (a) (b) (c) (d) ?
? 1 2 3 4
(a) (b) (c) (d)

1 2 3 4 (a) (b) (c) (d) 15)

6) ?
? 1 2 3 4 (a) (b) (c) (d)
1 2 3 4 (a) (b) (c) (d) 16)
7)

? ?
1 2 3 4 (a) (b) (c) (d)
1 2 3 4 (a) (b) (c) (d)
8) 17)

? ?
1 2 3 4 (a) (b) (c) (d) 1 2 3 4 (a) (b) (c) (d)
9)
18)
? ?
1 2 3 4 (a) (b) (c) (d) 1 2 3 4 (a) (b) (c) (d)
&  &ODVVL¿FDWLRQ-auL{s/0f_ 19) 20)
lgb]{zgM tn lbOPsf] lrqx? dWo] Pp6f c?eGbf km/s 5, Tof] s'g xf] < 5'6\ofpg'xf];\ .
FKRRVHWKH¿JXUHZKLFKLVGLIIHUHQWIURPWKHUHVW
1) 2) (a) (b) (c) (d) (a) (b) (c) (d)
21) 22)

(a) (b) (c) (d) (a) (b) (c) (d)

(a) (b) (c) (d) (a) (b) (c) (d)
3) 4)
23) 24)

(a) (b) (c) (d) (a) (b) (c) (d)

(a) (b) (c) (d) (a) (b) (c) (d)
5) 6)
A O T B N M V T 25)
1
5
4 3
4
2 2
1
5
3
4 2
26) 12
L
5
E
16
P
24
U
23 51 3 4 5 1
(a) (b) (c) (d) (a) (b) (c) (d)
7) 8) (a) (b) (c) (d) (a) (b) (c) (d)
27) 28)

(a) (b) (c) (d) (a) (b) (c) (d)

9) 10) (a) (b) (c) (d)
(a) (b) (c) (d)
A F Z E J F M T 29)
(a) (b) (c) (d) (a) (b) (c) (d)
11) 12) (a) (b) (c) (d)
D H P U
(a) (b) (c) (d) (a) (b) (c) (d)
13) 14)

(a) (b) (c) (d) (a) (b) (c) (d)

15) 16)

(a) (b) (c) (d) (a) (b) (c) (d)

17) 18)

(a) (b) (c) (d) (a) (b) (c) (d)

(D) Matrices -d]l6«S; lrqx¿_ 9

lgb{]zg M lbOPsf] d]l6«S; lrq k"/f ug{ vfnL 7fpFdf lbOPsf ljsNkx?dWo]af6 s'g lrq 5gf}6 ug{‘ knf{ <
1

11.

3.

13. 14

5.

7.

15. 16
17. 18.
24

19

26.

21

28

22.
 AnĂůyƟĐĂů ZeĂsonŝnŐ

Q. lbOPsf] lrqdf slt cf]6f ;/n/]vf xf]nfg\ < -k|Zg g+= 1 b]lv 3 ;Dd_

Q. lbOPsf] lrqdf lqe"hsf] ;+Vof slt xf]nfg\ < -k|Zg g+=4 b]lv 24 ;Dd_

Q. lbOPsf] lrqdf ju{sf] ;+Vof kQf nufpg'xf];\ < -k|Zg g+= 25 b]lv 30 ;Dd_
 37.=
a) 19 b) 20 c) 21 d) 23

Q. lbOPsf] lrqdf lqe"h / ju{sf] ;+Vof kQf nufpg'xf];\ < -k|Zg g+= 31 38. a) 19 b) 20 c) 22 d) 24
b]lv 40 ;Dd_

39. a) 23 b) 25 c) 21 d) 27
(Ă) 28 ƚƌŝĂŶŐůĞƐ͕ 10 ƐƋƵĂƌĞƐ (Ă) 44 ƚƌŝĂŶŐůĞƐ͕ 10 ƐƋƵĂƌĞƐ
(ď) 28 ƚƌŝĂŶŐůĞƐ͕ 8 ƐƋƵĂƌĞƐ (ď) 14 ƚƌŝĂŶŐůĞƐ͕ 16 ƐƋƵĂƌĞƐ
(Đ) 32 ƚƌŝĂŶŐůĞƐ͕ 10 ƐƋƵĂƌĞƐ (Đ) 27 ƚƌŝĂŶŐůĞƐ͕ 6 ƐƋƵĂƌĞƐ
(Ě) 32 ƚƌŝĂŶŐůĞƐ͕ 8 ƐƋƵĂƌĞƐ (Ě) 36 ƚƌŝĂŶŐůĞƐ͕ 9 ƐƋƵĂƌĞƐ

40. a) 16 b) 18 c) 19 d) 21

Q lbOPsf] lrqdf ;=r=sf] ;+Vof slt xf]nf < -k|Zg g+= 41 b]lv 42 ;Dd_
(Ă) 28 ƚƌŝĂŶŐůĞƐ͕ 3 ƐƋƵĂƌĞƐ (Ă) 26 ƚƌŝĂŶŐůĞƐ͕ 5 ƐƋƵĂƌĞƐ
(ď) 24 ƚƌŝĂŶŐůĞƐ͕ 5 ƐƋƵĂƌĞƐ (ď) 28 ƚƌŝĂŶŐůĞƐ͕ 5 ƐƋƵĂƌĞƐ 41. 42.
(Đ) 28 ƚƌŝĂŶŐůĞƐ͕ 5 ƐƋƵĂƌĞƐ (Đ) 28 ƚƌŝĂŶŐůĞƐ͕ 6 ƐƋƵĂƌĞƐ
(Ě) 24 ƚƌŝĂŶŐůĞƐ͕ 3 ƐƋƵĂƌĞƐ (Ě) 28 ƚƌŝĂŶŐůĞƐ͕ ϳ ƐƋƵĂƌĞƐ

Q. lbOPsf] lrqdf slt j6f cfot xf]nfg\ < -k|Zg g+= 43 b]lv 48 ;Dd_
43. a) 14 b) 16 c) 18 d) 20

(Ă) 36 ƚƌŝĂŶŐůĞƐ͕ 7 ƐƋƵĂƌĞƐ (Ă) 21 ƚƌŝĂŶŐůĞƐ͕ 7 ƐƋƵĂƌĞƐ

(ď) 38 ƚƌŝĂŶŐůĞƐ͕ 9 ƐƋƵĂƌĞƐ (ď) 18 ƚƌŝĂŶŐůĞƐ͕ 8 ƐƋƵĂƌĞƐ
(Đ) 40 ƚƌŝĂŶŐůĞƐ͕ 7 ƐƋƵĂƌĞƐ (Đ) 20 ƚƌŝĂŶŐůĞƐ͕ 8 ƐƋƵĂƌĞƐ
(Ě) 42 ƚƌŝĂŶŐůĞƐ͕ 9 ƐƋƵĂƌĞƐ (Ě) 22 ƚƌŝĂŶŐůĞƐ͕ 7 ƐƋƵĂƌĞƐ
44. a) 6 b) 8 c) 10 d) 12
senn ŝĂŐrĂŵs -e]g lrqx?_

45. a) 6 b) 7 c) 9 d) 11 lgb{]zg M tn lbOPsf e]g lrqx? /fd|/L cWoog ug'{xf];\ . lbOPsf ljsNkx? A, B, C / D dWo]af6 pko'Qm
e]g lrq 5gf}6 ug{‘xf];\ . - k|Zg g+= 1 b]lv 12 ;Dd_

46. a) 160 b) 164 c) 168 d) 172

!= xKtf, lbg / jif{ @= ju{, cfot / ax'e'h

#= kmlg{r/, 6]an / s';L{ $= ;AhL, cfn' / aGbf
47. a) 12 b) 14 c) 16 d) 18
%= kl/jf/, >Ldfg / >LdtL ^= n]vs, lzIfs / nf]Ug] dflg;
&= jlsn, w'd|kfg ug]{ JolQm / w'd|kfg gug]{ JolQm *= ljBfyL{, ls|s]6 v]nf8L / 6]lg; k|]dL
(= kmnkm"n, /ftf] :ofp / :ofp !)= c:ktfn, 8fS6/ / g;{
48. lbOPsf] lrqdf k+re"h (ƉĞŶƚaŐŽŶ) sf] ;+Vof slt xf]nf <
!!= sfuh, d;L / :6]zg/L !@= lj1fg, ef}ltszf:q / /;fogzf:q
a) 10 b) 12 c) 14 d) 16 lgb{]zgM tn lbOPsf e]g lrqx? /fd|/L cWoog ug'{xf];\ / lbOPsf ljsNkx?dWo] af6 pko'Qm e]g lrq 5gf}6
ug{‘xf];\ . - k|Zg g+= 13 b]lv 20 ;Dd_
Answer Key
Q.No. Ans. Q.No. Ans.
1. B 25. C
2. A 26. B
3. A 27. C
4. B 28. D !#= hgfj/, s's'/ / 3/kfn'jf !$= lqe"h, ;dsf]0f lqe"h / ljifdjfx' lqe"h
5. D 29. C
6. A 30. B
!%= gful/s, lzIfLt JolQm / dflg; !^= rf]/, ck/fwL / Gofolw;
7. C 31. C !&= tf]/L, ux'F / cfn' !*= k'?if, afa' / 8fS6/
8. C 32. A !(= k[YjL, kxf8 / h+un @)= c+u|]hL, g]kfnL / hfkflgh
9. C 33. C
10. C 34. C @!= tn lbOPsf] s'g e]g lrqn] (Docƚoƌs, nŐŝnĞĞƌs / Lawyers) nfO{{ c+lst ub{5 <
11. D 35. C
12. B 36. A
13. B 37. C
14. D 38. C
15. D 39. D
16. D 40. D
17. C 41. A
18. D 42. B
19 B 43. A
@@= tn lbOPsf] s'g e]g lrqn] (^econds, DŝnƵƚes / Hours) aLrsf] ;DaGwnfO{{ bzf{pF5 <
20. C 44. C
21. C 45. C
22. C 46. C
23. C 47. D
24. C 48. B
 @(= tn lbOPsf] s'g e]g lrqn] k'?if, afa' / aRrf aLrsf] ;DaGwnfO{{ bzf{pF5 <
@#= tn lbOPsf] s'g e]g lrqn] (dabůe, CŚaŝr / &urnŝƚure ) nfO{{ k|ltljlDjt ub{5 <

#)= tn lbOPsf] s'g e]g lrqn] 8fS6/, la/fdL / c:ktfn aLrsf] ;DaGwnfO{{ a'emfpF5 <

@$= tn lbOPsf] s'g e]g lrqn] k'?if, afa' / bfh' aLrsf] ;DaGwnfO{{ bzf{pF5 <

#!= tn lbOPsf] e]g lrq cWoog u/L lgDg k|Zgx?sf] pQ/ lbg'xf];\ .
(ŝ) lbOPsf] s'g efun] g]kfnL g]tf ufos gx'g] hgfpF5 ?
(A) 2 (B) 3 (C) 4 (D) 5
(ŝŝ) lbOPsf] s'g efun] g]kfnL g]tf ufos x'g] hgfpF5 <
@%= tn lbOPsf] s'g e]g lrqn] s's'/, la/fnf] / 3/kfn'jf hgfj/sf] ;DaGwnfO{{ hgfpF5 < (A) 2 (B) 3 (C) 4 (D) 5
(ŝŝŝ) lbOPsf] s'g efun] g]tf, g]kfnL tyf ufos b'j} gx'g] hgfpF5 <
(A) 2 (B) 3 (C) 6 (D) 7
(ŝǀ) lbOPsf] s'g efun] g]kfnL ufos g]tf gx'g] hgfpF5 <
(A) 2 (B) 3 (C) 4 (D) 5

Answer Key
@^= tn lbOPsf] s'g e]g lrqn] sd{rf/L, ;/sf/L sd{rf/L / lzlIft JolQmsf] ;DaGwnfO{{ hgfpF5 <
Q. No. Ans. Q. No. Ans. Q. No. Ans.
1. A 13. C 25. D
2. A 14. C 26. A
3. B 15. C 27. A
4. B 16. A 28. D
5. B 17. B 29. D
@&= tn lbOPsf] s'g e]g lrqn] rf]/, ck/fwL / Gofolwz aLrsf] ;DaGwnfO{{ a'emfpF5 < 6. C 18. D 30. D
7. D 19. C 31.
8. C 20. B ŝ) A
9. A 21. A ŝŝ) B
10. B 22. B ŝŝŝ) C
11. B 23. C ŝǀ) C
@*= tn lbOPsf] s'g e]g lrqn] dlxnf, cfdf / 8fS6/ aLrsf] ;DaGwnfO{{ hgfpF5 < 12. B 24. C
 oƚ ^ŝƚƵĂƟon -laGb' :yfg÷l:ylt_ 7.
lgb{]zg M tn lbOPsf] k|To]s lrq (X) df Ps jf PseGbf al9 ljGb'x? (Dots) /flvPsf 5g\ . tL ljGb'x?
(Dots) /x]sf] :yfgnfO{{ /fd|/L x]g'{xf];\ / ljsNkx? A, B, C / D dWo]af6 p:t} :yfg (^aŵe WosŝƟon) df
ljGb'x? (Dots) /xg ;Sg] lrq 5gf}6 ug'{xf];\ . -k|Zg g+= 1 b]lv 10 ;Dd_

1.
8.

2. 9.

3.

10.

4.

Answer Key
Ex.: H
Q. No. Ans. Q. No. Ans.
5.
1. C 6. A
2. D 7. A
3. B 8. C
4. C 9. A
6.
5. A 10. C
K. Embedded Figures -cGt{/lglxt cfs[ltx?_ 7.

Trick:
cGt{/lglxt jf vf“lbPsf] jf n'ss
] f] lrq kQf nufpgsf] nflu lbOPsf ljsNkx? uxg cWoog u/L lrq x A B C D
(X) s'g lrqdf /x]sf] 5 kQf nufpg' kg]{ x'G5 . h:t} pbfx/0fM (Find out the alteranative figure
which contains figure (X) as its part.) 8.

x A B C D
(X) (A) (B) (C) (D)
Explanation: 9.
lrq (X) ljsNk (C) leq n's]sf] 5 . ctM pQ/ (C) x'G5 .
Exercise: K x A B C D
Directions: Find out the alteranative figure which contains figure (X) as its part.
10.
1.

X A B C D x A B C D
2. 11.

X A B C D
x A B C D
3.
12.

X A B C D
4. x A B C D
13.
X A B C D
5.
x A B C D

x 14.
A B C D
6.

x A B C D
x A B C D
15.
onsƚrƵĐƟon oĨ ^ƋƵĂres ĂnĚ drŝĂnŐůes -ju{ / lqe'hx?sf] /rgf_

x A B C D lgb{]zgM tn lbOPsf A, B, C, D / E dWo] cª\ux? ldnfpFbf Pp6f ju{ aGb5, Tof] s'g xf] 5gf}6 ug'{xf];\ .

1.
16.

x A B C D
17.

2.
x A B C D
18.

x A B C D
19. ϯ.

x A B C D
20.

lgb{]zgM tn (X) df lbOPsf] lrqdf s'g lrq ldnfpFbf Pp6f k"0f{ ju{ aGb5 <
x A B C D ϰ.

Answer Key
Ex. K
Q.No. Ans. Q.No. Ans. Q.No. Ans. Q.No. Ans.
1. D 6. D 11. C 16. C ϱ.
2. C 7. A 12. C 17. D
3. D 8. B 13. D 18. A
4. A 9. C 14. B 19 D
5. D 10. B 15. A 20. B
 &ŝŐƵre ĨorŵĂƟon ĂnĚ AnĂůysŝs: -lrqsf] agfj6 / :yfgfGt/0f Construction of Boxes
lgb]{zgM tn pNn]lvt k|To]s k|Zgdf lrq (dž) df /x]sf] ljleGg 6'qmfx? hf]8\bf s'g lrq aGg hfG5, lbOPsf An unfolded box (cube or cuboid) may appear in any of the form shown in the figures
ljsNkaf6 5gf}6 ug'x{ f]; . -k|Zg g+= ! b]lv * ;Dd_ given below.
Form I: 1
1.
2 3 4 In this case: 1 lies opposite 5
2 lies opposite 4
5 3 lies opposite 6
6
Form II: 1 2
2. In this case: 1 lies opposite 6
3 2 lies opposite 4
4 3 lies opposite 5

Form III: 5 6
1 In this case: 1 lies opposite 4
3. 2 lies opposite 6
2 3
3 lies opposite 5
4
Form IV: 1 5 6 In this case: 1 lies opposite 4
2 3 2 lies opposite 5
4.
4 5 3 lies opposite 6

Form V: 6 1
2 In this case: 1 lies opposite 3
2 lies opposite 5
3 4 4 lies opposite 6
5. 5
6
Form VI: +
In this case: + will be one of the faces
1 - =
× of the cube and it lies
- 2 3 4 = opposite 3
Answer Key 2 lies opposite 4
5 1 lies opposite 5
Q. No. Ans. Q. No. Ans. ×
1. A 5. C
Form VII: +
2. B 1 In this case: - +
will be one of the faces
- 2 3 4
× of the cube and it lies
=
3. C = opposite 3
4. B 5 2 lies opposite 4
× 1 lies opposite 5
 1 Extra Problems
Form VIII: + (A) Dice and Cube
- =
2 In this case: + and - × are two faces of the 1. The four-different positions of a dice are given below. Which number will appear opposite
3 cube that lies opposite two each other to the number 3?
= 1 lies opposite 3
× 4 6 5 3 2
2 lies opposite 4
1 4 1 6
Examples: 3
3 2 5
1. Select from the alternatives, the box that can be formed by folding the sheet shown
in figure (X). (i) (ii) (iJi) (iv)
2 3 1 2 3
A) 4 B) 5 C) 6 D) 1
5 1 6 1 3 5 6 4 1 4
2. Four different positions of the same dice are shown below. Find the number on the
4 (A) (B) (C) (D) face opposite the face showing 4?
6 3 4 3 5 2
(X) 2 5 3 1
3 4 1 3
Sol.: This fig. (X) is similar to Form III. Hence when the sheet in fig. (X) is folded to
form a box (cube) then: (i) (ii) (iJi) (iv)
2 opposite to 4
1 opposite to 6 A) 6 B) 5 C) 2 D) 1
5 opposite to 3
Fig (A) has the numbers 1 and 6 on adjacent faces. 3. Three positions of a dice are given below. Based on them, find out which number is
Fig (B) has the numbers 3 and 5 on adjacent faces. found opposite the number 2 in the give cube.
Fig (C) has the numbers 2 and 4 on adjacent faces.
6 5 4
So, these three alternatives are not possible. Since, the numbers 1, 3 and 4 can
appear on adjacent faces, so fig. (D) is possible. 4 6 2
1 3 1
2. A dice is thrown three times and its three different positions are given below. Find
the number on the face opposite the face showing 3. (i) (ii) (iJi)
2 3 4 A) 6 B) 5 C) 3 D) 1
1 3 1 5 2 3
4. The figures given below show the two different positions of a dice. Which number
(i) (ii) (iii) will appear opposite to the number 1?
4 5
2 6
A) 1 B) 4 C) 5 D) 6 3 4
Sol.: The number 3 occurs most often in the given three figures. From these three figures
(i) (ii)
it is clear that 1, 2, 5 and 4 lie adjacent to 3. Clearly, 6 lies opposite the face
showing 3. A) 3 D)
B) 44 C) 5 D) 6
The answer is (D).
5. Four positions of a dice are shown below. What number must be at the bottom face
when the dice is in the position as show in figure (iii)?
 5 4 3 2 10. Count the number of cubes in the given figure.
5 A) 6 B) 8
6 5 4
4 1 6 1 C) 10 D) 12

(i) (ii) (iJi) (iv)

A) 1 B) 2 C) 4 D) 6
Directions: Select from the alternatives, the box that can be formed by folding the sheet
6. If the total number of dots on opposite faces of a cubical block is always 7, find the shown in figure (X):
figure which is correct. 11.
2
5 1
4 3 1 2 3
(i) (ii) (iii) (iv) 6 1 3 5 6 4 1 4
6 3
A) B) C) D)
(X) A) B) C) D)
7. Two positions of a dice are shown. When 4 is at the bottom what number will be on 
the top? 12.
1 1
3 2 5 6
ȋȌ ȋȌ ȋȌ ȋȌ
(i) (ii)
A) 1 B) 2 C) 5 D) 6
8. What number is opposite 3 in the figure shown below? The given two positions are
of the same dice whose each surface bears a number among 1, 2, 3, 4, 5 and 6. ȋȌ 
ƒȌƒ†‘Ž›ȋ„Ȍǡƒ†‘Ž›ȋ Ȍ‘Ž›ȋ†Ȍƒ†‘Ž›
B
2 1 13. ʹǤ
6 5 5 4

(i) (ii)
ȋȌ
A) 2 B) 4 C) 5 D) 6 ȋȌ ȋȌ ȋȌ ȋȌ 
ȋƒȌƒ†‘Ž›ȋ„Ȍǡƒ†‘Ž›ȋ Ȍ‘Ž›ȋ†Ȍƒ†‘Ž›
9. The six faces of a dice have been marked with alphabets A, B, C, D, E and F 
respectively. This dice is rolled down three times. The three positions are shown as: 14.
Find the alphabet opposite to A.
A D F
C E E B ȋȌ ȋȌ ȋȌ ȋȌ
B C
ȋȌ 
A) C B) D C) E D) F ȋƒȌ‘Ž›ȋ„Ȍƒ†‘Ž›ȋ Ȍǡƒ†‘Ž›ȋ†Ȍǡǡƒ†
(B) Grouping of identical figures:
Directions: Group the given figure into three classes using each figure only once.

1. 1 2 3 A) 1-5-8, 3-4-7, 2-6-9

B) 1-3-6, 4-5-9, 2-7-8
4 5 6 C) 1-3-6, 2-5-7, 4-8-9
D) 6-7-8, 1-3-7, 2-4-9
7 8 9

2.
1 2 3 A) 1-3-9, 2-5-8, 4-6-7
B) 1-5-8, 4-6-7, 2-3-9
4 5 6 C) 2-5-9, 1-3-8, 2-6-7
D) 1-8-9, 4-6-7, 2-3-5
7 8 9

3. 1 2 3 A) 1-5-7, 2-4-6, 3-9-8

B) 1-5-7, 2-4-8, 3-6-9
4 5 6 C) 1-4-7, 2-5-8, 3-6-9
D) 1-7-9, 3-5-8, 2-4-6
7 8 9

4. 1 2 3 A) 1-2-4, 3-5-6, 7-8-9

B) 1-7-8, 3-5-6, 2-4-9
4 5 6 C) 1-3-4, 2-8-9, 5-6-7
D) 1-7-8, 2-3-6, 4-5-9
7 8 9