Sat 1

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)

Name : ____________________________________________ Roll No. : _______________________________ Kota PCCP Head Office: Address : C-8, Lakshya, Nursery Plots, Talwandi, Kota (Rajasthan) - 324005 Tel.No. : +91-0744-3204024, Fax : +91- 0744-5121222 Website : www.resonance.ac.in. e-mail : [email protected] Jaipur Main Office & Central Campus : Address : Plot No. N-8, Satya Vihar Colony, Near New Vidhan Sabha, Lal Kothi, Jaipur (Raj.) 302015, Tel.No. : 0141 - 3217766 | e-mail : [email protected] PCCP Udaipur Office Address : Vardhman 149, Road No.-10, Ashok Nagar, Udaipur (Rajasthan) - 313001 Tel.No. : +91-0294-2427858, 3262733 | e-mail : [email protected]

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

x5

 3



3

o

2x5

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

x5

 3



3

2x5

 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 esaQPR = 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