Table of Contents
Q1. How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?
(a) 42
(b) 210
(c) 336
(d) 440
(e) 120
Q2. A bucket contains 2 red Marbles, 4 blue Marbles and 6 Green Marbles. Two marbles are drawn at random. What is the probability that they are not of same color?
(a) 5/11
(b) 14/33
(c) 2/5
(d) 6/11
(e) 2/3
Q3. In how many different ways can letter of the word “COMPLAINT” be arranged in such a way that vowels occupy only the odd positions?
(a) 1440
(b) 43200
(c) 18040
(d) 5420
(e) 54000
Q4. The area of rectangular field of length 90 m and breadth 80 m is equal to the area of a square plot. What will be the length of the diagonal of the square plot?
(a) 120 m
(b) 100 m
(c) 90 m
(d) 105 m
(e) 110 m
L1Difficulty 2
Q5. A spherical cannon ball of diameter 24 cm is melted and casted into two cylinders of equal size and shape having base radius 8 cm. Find the height of each cylinder?
(a) 36 cm
(b) 18 cm
(c) 32 cm
(d) 20 cm
(e) 16 cm
Q6. How many 4 digits number can be formed using 2, 3, 5, 7, 6 and 9 if the number should be divisible by ‘4’ and repetition is not allowed?
(a) 120
(b) 96
(c) 160
(d) 64
(e) 296
Q7. In how many different ways can a team of 5 students be formed from 5 girls and 6 boys having at least 1 girl and 2 boys?
(a) 365
(b) 425
(c) 385
(d) 405
(e) 415
Q8. A path of width 1.5 m is to be built around a rectangular park of length 12 m and breadth 9 m. Find the area of the rectangular path
(a) 72 m2
(b) 60 m2
(c) 75 m2
(d) 80 m2
(e) 65 m2
Q9. Find the probability of selecting two face cards or two number cards from a pack of 52 cards?
(a) 61 : 77
(b) 121 : 212
(c) 60 : 121
(d) 116 : 221
(e) 125 : 221
Q10. Find the probability of getting at most two heads if three unbiased coins are tossed simultaneously?
(a) 3/8
(b) 3/4
(c) 1/2
(d) 1/4
(e) 7/8
Q11. In a right angled triangle of hypotenuse 15 cm, the remaining two sides are in the ratio 3 : 4. If smaller side is equal to radius and second longer side is equal to height of right circular cylinder, find volume of cylinder?
(a) 288π
(b) 512π
(c) 972π
(d) 778π
(e) 750π
Q12. A pyramid with a square base of side 3 cm and height 7 cm is carved out of a rectangular block of wood 7 cm × 3 cm × 3 cm. Find the percentage of wood wasted in the process?
Q13. How many different words can be formed with the letter of the word “REGRESSIVE”
(a) 16800
(b) 30240
(c) 151200
(d) 90720
(e) 15120
Q14. In how many ways the word ‘INTICINCO’ can be written so that ‘T’ always comes at end.
(a) 720
(b) 1680
(c) 5040
(d) 1024
(e) 210
Q15. A bag contains 4 yellow and x Red balls. If 2 balls are drawn at random then probability of both are red is 1/3. Find value of x.
(a) 8
(b) 6
(c) 4
(d) 5
(e) 9
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