1 A stone weighing 121 kg fell from a height of 10 m and broke into exactly 5 pieces all of different weights. Find the sum of the smallest and the largest piece if it is known that it is possible to weigh any weight ( using a common balance) in kg from 1 to 121 kg using the 5 pieces?a. 118b. 82c. 65d. Cannot be determined

2 Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed of 4km/hr. While the other man traveled with varying speed as follows : in the first hour his speed was 2km/hr , in the second hour it was 2.5 km/hr , in the third hour it was 3km/hr , and so on. When will they meet each other ?a. 7hrb. 10hrc. 35km from Ad. Mid-way between A and B

3 An officer on horseback rides slowly down a line of 60 mounted troops placed 10 feet apart. Beginning with the first man , the officer takes 29 second to reach the thirteen man. At that rate , how long will it take him to reach the sixtieth (last) man?a. 58 secsb.59 secsc. 57d. None

4 If a/b= 1/3 , b/c= 2 , c/d=1/2 , d/e=3 and e/f=1/4 , then what is the value of abc/def?a. 3/8b. 27/8c. 3/4d. 27/4

5 There are three boxes, each of which has an equal number of red, blue as well as green balls in it. Now an equal number of balls are drawn from each box. What is the minimum number of balls that have to be drawn from each box to ensure that at least three similarly colored balls are obtained?a. 6C3b. 9C3c. 27C9d. None

6 If (?a + ?b )2 = 27 and b > a , then find the value of ?(b-a)a. 3?3b. ?3c. 3d. cannot be determined

7 (13)6 – 1 is not exactly divisible bya. 8b. 9c. 11d. 18

8 How many numbers can be formed 1, 2, 3 , 4 , 5 without repetition , when the digit at the unit’s place must be greater than that in the ten’s place ?a. 54b. 60c. 17d. 2 x 41

9 If x = -0.5 , then which of the following has the smallest value ?a.21/xb.1/xc.1/x2d. 2x

10 If x, y and z are real numbers such that x + y + z = 5 and xy + yz + zx = 3, what is the largest value that x can have?a. 5/3b. ?19c. 13/3d. None

11 semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be:a. 32 pb.50 pc. 40.5 pd. 81p

12 swer Question Number 2 and 3 on the basis of the information given below: Jack walked down a descending escalator (a moving staircase) and took 36 steps to reach the bottom. Jill started simultaneously and ran up the same escalator thrice as fast as Jack and reached the top in half the time that jack took to descend the escalator. 2.How many steps did jack take by the time, he crossed Jill?a. 12b. 9c. 18d. cannot be determined

13 If jack were to walk down at twice his intial speed, then what fraction of his intial time taken would he be able to save?a. 4/7b.3/7c. 2/7d. cannot be determined

14 In how many ways can 30 identical ( in all aspects) ball be divided into 3 groups?a. 146b. 75c. 130d.91

15 A number when multiplied by 9 gives as product a 1 followed by certain number of 7’s. What is the number of 7’s in the product obtained by multiplying the least such number with 9?a. 28b. 21c. 14d. None of these

16 A merchant mixes three varieties of rice costing Rs. 20/kg , Rs. 24/kg and Rs. 30/kg and sells the mixture at a profit of 20% at Rs. 30/kg . how many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture if all varities were mixed in integral proportions ?a. 10b. 4c. 2d. None of these

17 Euclid has a triangle in mind. Its longest side has a length of 20 and another of its sides has length 10. Its area is 80. what is the exact length of its third side ?a.?260b. ?250c. ?240d.?270

18 swer Question Number 8 and 9 on the basis of the information given below: An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs 1200 and Rs 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400. 8.What is the weight of Praja’s luggage?a. 20kgb. 25 kgc. 30 kgd. 35 kg

19 What is the free luggage allowance?a.10kgb.15 kgc.20 kgd.25 kg

20 Prateek added two distinct three – digit numbers, each of which leaves remainders of 7 and 8 , when divided by 8 and 9 respectively. What is the maximum possible sum that Prateek could have obtained?a.1796b.1798c.1870d.1782

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