NTSE TEST PAPER #1 COURSE NAME : VIKALP (STAGE-I) CLASS -VIII SCHOLASTIC APTITUTE TEST (SAT)
Time : 1½ Hr. (l e; : 1½
?kaVk½
Max. Marks : 90 (v f/kd re
GENERAL INSTRUCTIONS (l kekU;
izkIrkad : 90)
funsZ'k) :
1. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic gadgets in any form is not allowed. ([kkyhd kxt ]fDyi cks MZ ]y?kq x.kd lkj.kh]LykbM : y]d S Yd q ys Vj]eks ckby ;kvU; fd lhbyS DVª kfud W
mid j.k d sfd lh Hkh : i esami;ksx d h vkKk ughagSA) 2. Paper carries 90 questions each of 1 (one) mark. (iz 'u
i=k esa90 iz'u gS]izR;sd iz'u 1 vad d k gSA)
3. There is no negative marking. Do not spend too much time on a particular question. (fd lh Hkh iz 'u esa_ .kkRed izkIrkad d k izko/kku ughagSA fd lh fo'ks"k iz'u ij vf/kd le; [kpZuk d jsaA) 4. In case of any dispute, the answer filled in the OMR sheet available with the institute shall be final. (fd lhHkhfojks /kkHkkl (la 'k;) d hfLFkfr d kfujkd j.klaLFkku es amiy C/kOMR 'khV lsghfd ;kt k,xkvkSj ;ghvfUre le>k t k,xkA)
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1.
Which rational number is exactly in middle be-
1.
1 1 tween the two rational numbers & 3 2
(A)
5 12
(B)
2.
3.
4.
Find x if
x5
3
3
o
2x5
2.
3
1 2
d sBhd e/; d h ifjes; la[;k gksxh &
(A)
5 12
(B)
5 6
(C)
1 12
(D)
3 5
5 6
3 (D) 5
1 (C) 12
1 3
x5
3
3
2x5
3
, x d k eku
(A) 0
(B) 5
(A) 0
(B) 5
(C) 1
(D) 4
(C) 1
(D) 4
Evaluate : 2 23 2 3 2
3.
(A) 64
(B) 128
(C) 264
(D) 768
Factorise 125a3 + 27b3 + 225a2b + 135ab2
4.
3
2 2 23 (A) 64 (C) 264
2
d k eku gksxk:
(C) (5a + 3b)3
6.
7.
8.
a b (B) 3 5 (D) (3a + 5b)3
d kxq .ku[k.M+d jkas 3
(A) (a + 3b)3
a b (B) 3 5
(C) (5a + 3b)3
(D) (3a + 5b)3
At what rate percent per annum will a sum of Rs. 4000 yield compound interest of Rs. 410 in 2 years : (A) 3% (B) 4% (C) 5% (D) 6%
5.
After getting two successive discounts, a shirt with a list price of Rs. 150 is available at Rs.105. If the second discount is 12.5%, then first discount is : (A) 15% (B) 20% (C) 25% (D) 30%
6.
The least number which must be added to 893304 to obtain a perfect square : (A) 1613 (B) 1614 (C) 1610 (D) 1612
7.
Which one of the following statement is correct :
8.
fuEu esalslR; d Fku gSa: (A) ft l la [;kd svUr esa4 vkrkgSog iw.kZ/ku ugh gksrh gSaA (B) fd lhiw .kkZd a d sfy, a3 lnS o gha2 lscM+ kgks xkA (C) ;fn b d ksa foHkkft r d jrk gSrksb3 d ksa3 foHkkft r d jsxkA (D) ;fn fd lhla [;ka2 d svUr es ale la [;kesa'kw U; 3 gks] rc a d svUr esafo"ke la[;k esa'kwU; gksxsaA
9.
nhxbZvkd `fr esaQPR = 670 o SPR = 720 vkSj RP o` Ùk d k O;kl gSarc QRS = ?
nj izfro"kZij nkso"kZd kpØ o`f) C;kt 410 : -gksxk& (A) 3%
(B) 4%
(C) 5%
(D) 6%
nksØ ekxr cV~Vsd sckn 150 : -va fd r ewY; d h'kVZ vc 105 : -es amiy C?kgS A ;fn f) rh; cV~Vk12.5% gksrksizFke cV~Vk gSa (B) 20% (D) 30%
893304 es alclsNksVhla[;kD;kt ksM+ht k, fd
og
,d iw.kZoxZcu t k,& (A) 1613 (C) 1610
(B) For an integer a, a3 is always greater than a2 (C) If a divides b, then a3 divides b3 (D) If a2 ends in even number of zeros, then a3 ends in odd number of zeros. In the figure QPR = 670 & SPR = 720 and RP is a diameter of the circle,then QRS = ? (A) 18º (B) 23º (C) 41º (D) 67º
4000 : -ij fd l
(A) 15% (C) 25%
(A) There is no perfect cube which ends in 4
9.
(B) 128 (D) 768
125a3 + 27b3 + 225a2b + 135ab2
3
(A) (a + 3b)3
5.
gksxk &
(B) 1614 (D) 1612
(A) 18º (B) 23º (C) 41º (D) 67º 1
10.
If two parallel lines are cut by two distinct transversals, then the quadrilateral formed by the lines is always a : (A) Parallelogram (B) Rhombus (C) Square (D) Trapezium
10.
;fn nkslekUrj js[kkvksad ksnksfHkUu fr;Zd js[kk,¡ d kVrh gS]rc js[kkvksa}kjk cuk gqv k prqHkqZt gksxk% (A) lekUrj prq HkqZt (B) leprq Hkq Zt (C) oxZ (D) ley Ec prq HkqZt
11.
If A : B = 3 : 4, B : C = 2 : 3 then A : C = ?
11.
;fn A : B = 3 : 4, B : C = 2 : 3 rc A : C = ?
12.
13.
(A)
1 2
(B)
6 3
(A)
1 2
(B)
6 3
(C)
1 3
(D)
2 3
(C)
1 3
(D)
2 3
The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, the other number is : (A) 576 (B) 1296 (C) 432 (D) 144
12.
The ratio between the volume of a sphere and the
13.
(A) 576 (C) 432
volume of the circumscribing right cylinders is–
14.
(A) 2 : 1
(B) 1 : 1
(C) 2 : 3
(D) 3 : 8
The average age of three girls is 24 years. If
15.
(C) 24 years
(D) 36 years
A train travels from one station X to another
15.
;fn ,d Vªsu ,d LVs'ku X lsnwl jsLVs'ku Y rd 20 fd eh/ ?ka Vklst krhgSo 30 fd eh/?ka Vkd hpky lsiqu% vkrh gSA d qy ;k=kk d h vkSl r pky gksxh& (A) 25 fd eh/?ka Vk (B) 24 fd eh/?ka Vk (C) 35 fd eh/?ka Vk (D) 40 fd eh/?ka Vk
16.
,d prqHkqZt d spkjksd ks.k gksld rsgS% (A) lHkhU;w u d ks.k (B) lHkhled ks .k (C) lHkhvf/kd d ks .k (D) rhu vf/kd d ks .k ,oa,d led ks.k
17.
12 et nw j ,d
the rate of 30 km/hr.. The average speed of the total journey is :
16.
(B) 24 km/hr
(C) 35 km/hr
(D) 40 km/hr
The four angles of a quadrilateral can be : (A) all acute angles (B) all right angles (C) all obtuse angles (D) three obtuse angles and one right angle
17.
12 labourers can construct a road in 20 days. Then 30 labourers can construct the same road in x days. The value of x will be found from the
18.
x d k eku (B) 30 : 12 :: 20 : x (D) None of these
f (3x + 7y) : (4x + 13y) = 3 : 5 , then x : y is : (A) 3 : 4 (B) 4 : 3 (C) 7 : 13 (D) 13 : 7
lM+ d d ks20 fnuks aes acukld rsgS A rks
30 et nw j mlhlM+d
proportion — (A) 12 : 30 :: 20 : x (C) 30 : 12 :: x : 20
(B) 1 : 1 (D) 3 : 8
rhu y M+fd ;ksad hvkSl r vk;q24 o"kZgSA ;fn vuqikr 5 : 7 : 12 gks ] rksmueslclscM+h y M+d h d h vk;q gks xh& (A) 12 o"kZ (B) 15 o"kZ (C) 24 o"kZ (D) 36 o"kZ
station Y at the rate of 20 km/hr and returns at
(A) 25 km/hr
fd lhxks y sd svk;ru o bld sifjxr cs a y u d svk;ru d kvuqikr gksxk&
14.
age of the oldest girl will be(B) 15 years
(B) 1296 (D) 144
(A) 2 : 1 (C) 2 : 3
there ages are in the ratio 5 : 7 : 12, then the (A) 12 years
;fn nksla [;kvksad ky -l-i-864 o mud ke-l-i-144 gSaA ;fn ,d la[;k 288 gS]rksnwl jh la[;k gksxh&
18.
d ksx fnuksaesacukld rsgSA rks
fuEu lekuqikr lsizkIr gksxk %
(A) 12 : 30 :: 20 : x
(B) 30 : 12 :: 20 : x
(C) 30 : 12 :: x : 20
(D) bues alsd ksbZugha
;fn (3x + 7y) : (4x + 13y) = 3 : 5, rksx : y gks xk: (A) 3 : 4 (C) 7 : 13
(B) 4 : 3 (D) 13 : 7
2
19.
A circle of maximum possible area is cut out from a square sheet of area ‘A’. The area of the circle is : (A) A (B) A (C)
20.
A 2
(D)
19.
(A) A
A 4
n a quadrilateral ABCD , AB = BC = CD and
(C)
21.
(B) a rhombus
(C) a rectangle
(D) a square
A force is not required to keep a body in a :
22.
;fn ,d rjax 2.5 lSd .M esa20 d Eiu d jrh gS]rks bld hvko`fÙk gksxh% (A) 200 gV~ t Z (B) 50 gV~ Zt (C) 8 gV~ Zt (D) 20 gV~ Zt
23.
/ofu d k osx vf/kd r~e gksrk gS% (A) y ks gsesa (B) ikjses a (C) ikuhes a (D) gokes a
its frequency is :
23.
(B) 50 Hz
(C) 8 Hz
(D) 20 Hz
Velocity of sound is maximum in : (A) Iron
(B) Mercury
(C) Water
(D) Air
A 4
fd lhoLrqd ksfuEu es alsfd l fLFkfr es aoLrqd ksj[kus d sfy ;scy vko';d ughagS\ (A) ,d leku o` Ùkh; xfr (B) ljy vkorZxfr (C) fu;r Rofjr lsxfr (D) fu;r os x lsxfr
(D) Motion with constant velocity
(A) 200 Hz
(D)
21.
(B) Simple harmonic motion (C) Motion with constant acceleration
If a wave completes 20 vibrations in 2.5 s, then
A 2
prqHkZqt ABCD esa] AB = BC = CD rFkkAC = BD, rc ABCD gS% (A) ,d ley Ec prq HkZqt (B) ,d leprHkq Zt (C) ,d vk;r (D) ,d oxZ
(A) Uniform circular motion
22.
(B) A
20.
AC = BD. Then ABCD is . (A) a trapezium
{kS=kQ y oky hoxkZd kj Iy sV lsvf/kd re {kS=kQ y d k o`Ùk d kVk t krk gSo`Ùk d k {kS=kQ y gS% 'A'
24.
The number of times a machine multiplies the effort force is its : (A) Effort (B) Resistance (C) Work (D) Mechanical advantage
24.
,d e'khu ft rusxq ukiz ;kl cy c
