Q.1 In how many ways, can the letters of the word ‘ASSASSINATION’ be arranged, so that all the A are together?
(a) 10!
(b) 14!/(4!)
(c) 415800
(d) 3628800
Q.2 In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is always chosen?
(a) 1835
(b) 1001
(c) 1635
(d) 1365
Directions (Q.3-5): Find the number of permutations that can be made from the letters of the word ‘NUMBER’.
Q.3 N and R occupying end places.
(a) 48
(b) 24
(c) 12
(d) 18
Q.4 M and N being always together.
(a) 180 ways
(b) 240 ways
(c) 480 ways
(d) 200 ways
Q.5 Vowels being never together.
(a) 36 ways
(b) 84 ways
(c) 120 ways
(d) 10 ways
Q.6 If the sum of the lengths of diagonals of a rhombus is 10 m and if its area 9 m2. Then, what is the sum of squares of the diagonals?
(a) 36 m2
(b) 64 m2
(c) 80 m2
(d) 100 m2
(e) None of these
(e) None of these
Q.7 If the area of an equilateral triangle is x and its perimeter is y, then which one of the following is correct?
(a) y4 = 432 x2
(b) y4 = 216 x2
(c) y2 = 432 x2
(d) y2 = 216 x2
(e) None of these
Q.8 The ratio of length of each
equal side and the third side of an isosceles triangle is 3 : 4. If the
area of the triangle is 18√5 sq units, the third side is?
(a) 8√2 units
(b) 12 units
(c) 16 units
(d) 5√10 units
Q9. The area of rectangle lies between 40 cm2 and 45 cm2. If one of the sides is 5 cm, then its diagonal lies between?
(a) 8 cm and 10 cm
(b) 9 cm and 11 cm
(c) 10 cm and 12 cm
(d) 11 cm and 13 cm
Q.10 What is the area of the larger segment circle formed by a chord of length 5 cm subtending an angle of 90° at the centre?
(a) 25/4 (π/2+1) cm2
(b) 25/4 (π/2-1) cm2
(c) 25/4 (3π/2+1) cm2
(d) Cannot be determined
(e) None of these

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