1. The sum of all interior angles of a regular convex polygon is 1080°. The measure of each of its interior angles is-
A. 72°
B. 108°
C. 135°
D. 120°
(Sum of all interior angles of a polygon= (n-2)×180°
1080/180= (n-2) ….∴n= 8
No. of sides= 360°/ exterior angle
∴ 360/8= 45°
Interior angle= 180°-45°= 135° ans)
2. In ∆DEF and ∆PQR, if PQ=DE, EF=PR and FD=QR, then-
A. ∆DEF ≅∆RPQ
B. ∆DEF≅∆QPR
C. ∆DEF≅∆QRP
D. ∆DEF≅∆PQR
(as PQ=DE, EF=PR, FD=QR)
3. The mean of range , mode and median of the data:
4,3,2,2,7,2,2,0,3,4,4 is-
A. 4
B. 3
C. 5
D. 2
( arrange in ascending order: 0, 2,2,2,2,3,3,4,4,4,7
Range=7-0=7
Mode= 2
Median= 3
∴mean= 7+2+3/3=4 ans)
4. LCM of 22, 54, 135 and 198 is-
A. 22×33×5×11
B. 23×32×5×11
C. 2×33×5×11
D. 22×32×5×11
(L.C.M of 22, 54, 135 and 198 is c)
5. The product of integers between -7 and -3 is-
A. 120
B. -380
C. -120
D. 873
(-4×-5×-6= -120 ans)
6. The value of 1+11/10+11/100+111/1000+111/10000 is-
A. 2.3321
B. 3.3221
C. 2.245
D. 2.432
(1+1.1+0.11+0.111+0.0111=2.3321 ans)
7. The radii of the bases of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is-
A. 7:6
B. 4:9
C. 10:6
D. 20:27
(V1/V2=(2/3)2×(5/3)= 20:27 ans)
8. What should be subtracted from -5/7 to get -2/3?
A. -1/21
B. 29/21
C. 1/21
D. -21/29
(-5/7 – x = -2/3
∴ x= -5/7 + 2/3
X= -1/21 ans)
9. In standard form, 0.00001278 is expressed as k×10n
The value of (k+n) is-
A. 4.722
B. -3.722
C. -3.278
D. 3.278
( 1.278×10-5……∴1.278-5
= -3.722 ans)
10. The values of y for which the 4-digit number 51y3is divisible by 9 is-
A. 2 or 3
B. 3 or 9
C. 0 or 9
D. 0 or 3
(5+1+y+3=9+y
∴y= 0 or 9)
