9 

9 Sample Questions
SECTION A - MATHEMATICS
1.
One of the factors of x 4 + 4 is
A. x2 + 2
B. x + 1
C. x2 - 2x + 2
D. x2 - 4
2.
In the expression xy 2, the values of x and
y are each decreased by 25%; the value of
the expression is
A. decreased 50%
B. decreased 75%
C. decreased 37/64 of its value
D. decreased 27/64 of its value
3.
4.
The factors of the expression x2 + y2 are
A. (x + y)(x - y)
B. (x + y)2
C. (x 2/3 + y 2/3)(x 4/3 + y 4/3)
D. (x + iy)(x - iy)
8.
A. 9.
6.
The perimeter of an isosceles right triangle
is 2p. Its area is
7.
A. ( 2 + 2 ) p B. ( 2 - 2 ) p C. ( 3 - 2 2 ) p2 D. ( 1 - 2 2 ) p 2 Each angle of a rectangle is trisected. The
intersections of the pairs of trisectors
adjacent to the same side always form
A. a square
B. a rectangle
C. a parallelogram with unequal sides
D. a rhombus
B. 4 3 D. None of these
cab
If m =
, then b equals :
a -b
m (a - b )
cab - ma
A.
B.
ca
-m
1
ma
C.
D.
1+ c
m + ca
10. With a rational denominator, the expression
2
is equivalent to :
2+ 3- 5
0 becomes
A. x2(y2 + y - 2) = 0
B. x2(y2 + y - 3) = 0
C. x2(y2 + y - 4) = 0
D. x2(y2 + y - 6) = 0
If one side of a triangle is 12 inches and the
opposite angle is 30 degrees, then the
diameter of the circumscribed circle is
A. 18 inches
B. 30 inches
C. 24 inches
D. 20 inches
7 15 5 C. 3 5 æ 1 ö
If y = x + ç ÷ , then x4 + x3 - 4x2 + x + 1 =
è x ø
5.
The base of an isosceles triangle is 6 inches
and one of the equal sides is 12 inches. The
radius of the circle through the vertices of
the triangle is
A.
3 + 6 + 15
B.
6
6 - 2 + 10
6
C.
2 + 6 + 10
2 + 6 - 10
D.
10
6
SECTION B - MENTAL ABILITY
11. In a certain code ‘345’ means ‘Veera is
gentle’; ‘599’ means ‘Veera kind hearted’
and ‘126’ means ‘Kanchan also good’ then
which digit in that code represents ‘Gentle’?
A. 3
B. 4
C. 5
D. Cannot be determined
In the following question some relation
between two figures to the left of : : and the
same relationship exists between the two
figures to its right. One figure is missing.
Find out that Figure.
12.
31
9 km. Then again he turns to his right and
moves 7 km forward. How many km. away
is he from the starting point?
A. 10 km
B. 20 km
C. 13 km
D. 3 km
A.
B.
C.
D. None of these
13. Five boys A, B, C, D and E are standing
in a row. A is between C and D and B is
between D and E. Which of the following
pairs represents the boys standing at
both the ends?
A. C, B
B. E, C
C. E, A
D. A, C
14. Shyam travels 7 km to the north. Then
again he turns to the right and walks 3
15. What letter should be in place of the
question mark in the following series ?
A, B, D, G, ?, P
A. J
C. K
B. I
D. L
Answers
1. C
6. C
11. D
2. C
7. D
12. D
3. D
8. D
13. B
4. D
9. D
14. D
5. C
10. A
15. C ANSWERS
1 . 2 . 3 . 4 . 5 . 398 161 366 025 422 500 455 625 469 225 1 . C. 1 . 2 . 3 . 4 . 5 . Page ­ 10 504 100 1 . 641 601 524 176 2 . 648 025 538 756 3 . 643 204 592 900 4 . 646 416 624 100 5 . 652 864 1 . 2 . 3 . 4 . 5 . 837 225 859 329 1030225 4182025 4268356 Page ­ 15 2 . D. 3 . B. 4 . A. 12 . 13 . 15 . 17 . 18 . 19 . 20 . 21 . 8 Sides on a Stop Sign 4 Quarts in a Gallon 14 . 24 Hours in a Day 1 Wheel on a Unicycle 16 . 6 Digits in a Pin Code 11 Players in a Football Team 29 Days in February in a Leap Year 64 Squares on a Checkerboard 21 Dots on a Die 7 Wonders of the Ancient World Page ­ 26 Page ­ 16 1 . 3485 × 2 and 6970 × 1 (for smallest possible) or 915 × 64 and 732 × 80 (for largest possible) 2 . One possible solution, out of many, is 246 917 385 2 3 1 . 2 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11. 32
(23 ­ 17) = 36 26 3 . Mr Khattar was 38. Page ­ 17 18 × 1 = 18 a 6 b 2 c 7 d 3 e 2 f 1 g 4 a 5 h 1 b 7 i 6 c 3 j 7 d 6 k 2 e 7 l 9 f 1 g 7 Page ­ 25 26 Letters of the Alphabet 7 Days of the Week 3 . 1001 Arabian Night 12 signs of the Zodiac 54 Cards in a Deck (with Jokers) 9 Planets in the Solar System 88 Piano Keys 3 Stripes and one wheel on the Indian Flag 32 Degrees at which Water Freezes 18 Holes on a Golf Course 90 Degrees in a Right Angle
1. 19 + 22­23 = 18 2. 36 × (24 ­ 23) = 36 20 × 45/50 = 18 3. 1 . 3 . 5 . 7 . 9 . 10 . 5 × (9­4) = 25 18 × 26/13 = 36 4. 14 + (15/5) = 17 2 × 24 ­ 23 = 25 19 ­ (34/17) = 17 50 / (29­27) = 25 20 + 34 ­ 37 = 17 Page ­ 27­28 3 p /4 m 2 2 . d =10 cm 105 degrees 4 . 32 students. 88 % 6 . A could be 1 or 4 k = –3 8 . 1201 kg B Order is x–3, 2x + 1, x + 5, x + 2, 2x – 3
\ middle expression will be = x + 5