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UNIFIED COUNCIL
A n I S O 9 0 0 1 : 2008 C e r t i f i e d O r g a n i s a t i o n
UNI FI ED C YBER OLYMP IA D
Solutions for Sample Questions
class : 9
Mental Ability q=9
1. (B) 16x2 – 72xy + 81y2 – 12x + 27y here k = 0 is the only possible value because
= (4x)2 – 2(4x)(9y) + (9y)2 – 3 (4x – 9y) if k = 1 then q must be either – 2 or 20.
= (4x – 9y)2 – 3(4x – 9y) but neither – 2 nor 20 is possible because q
is a single positive digit i.e., q 1, 2, 3, 4, 5,
= (4x – 9y) (4x – 9y – 3) 6, 7, 8, 9, 0
2. (A) CD AB (Given) Thus, the value of p + q = 1 + 9 = 10
C R D
o Since, p 9 8
55 Therefore, p 1
Q a
5. (C) 5 persons 180 shawls 12 days
38o
A P B 180
5 persons shawls 1 day
a = 55o + 38o = 93o 12
3. (B) Let BAC = xo, 180
1 person shawls 1 day
In ADC, AD = DC, 12 5
ACD = xo = 3 shawls
BDC = xo + xo = 2xo 6 persons 6 3 shawls 1 day
In BDC, DC = BC, 6 persons 6 3 15 shawls 15 days
DBC = 2xo
= 270 shawls
In ABC, AB = AC, Reasoning
o 6. (D) Figure 1 is rotated 90o to give figure 2.
ACB = 2x
Also BAC + ABC + ACB = 180o
(angles of a triangle)
xo + 2xo + 2xo = 180o
xo = 36o
BAC = 36o Similarly, figure 3 can be rotated to give
984 figure D.
4. (A)
+4p3 7. (B) 13 4 = 52 ; 17 4 = 68 ; 19 4 = 76
13q7 7 6 = 42 ; 11 6 = 66 ; 16 6 = 96
14 9 = 126 ; 21 9 = 189 ; 19 9 = 171
We get 8 + p = q
Now if 13q7 is divisible by 11 then 8. (B) Except option (B), all the figures are obtained
by rotation.
(7 + 3) – (1 + q) = 11k
where, k = 0, 1, 2, ......
10 – (1 + q) = 0
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13. (B) Drop shadow, inner glow and bevel are the
Blending options in Photoshop.
14. (B) B2C e-commerce is between business and
9. (D) consumers, which is a non-commercial
commerce.
15. (C) Shortcut key to insert line break manually
without breaking a paragraph in MS-Word
10. (B) C and Q are sisters and A is the son of C. is Shift + Enter.
Hence, C is the mother of A or Z is the
mother Q. Hence, Z is the maternal
English
grandmother of A. P is the son of Z. Hence, 16. (C) There are no black clothes in Rakesh’s
P is the maternal uncle of A. wardrobe as he has melanophobia.
C ompu t er s 17. (B) Insolent means rude.
11. (B) The shortcut key to insert today’s date in 18. (C) NLOECES - ENCLOSE
MS-Word 2010 is shift + Alt + D. 19. (C) ‘Hierarchy’ is the correct spelling.
12. (C) Operating system files are stored in hard 20. (B) The intense competition is making me a
disk. bag of nerves.