1 A number a is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is : A) 6 B) 9 C) 15 D) 21
2 The ratio between the present ages of X and Y is 6 : 7. If Y is 4 years old than X, what will be the ratio of the ages of X and Y after 4 years ? A) 3 : 4 B) 3:5 C) 4:3 D) Data inadequate E) None of these
3 The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ? A) 0 B) 1 C) 10 D) 19
4 The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers ? A) 12 B) 14 C) 16 D) 18 E) None of these
5 $(2.4 \times 10^{3})\div (8 \times 10^{-2})=?$ A) $(3 \times 10^{-5})$ B) $(3 \times 10^{4})$ C) $(3 \times 10^{5})$ D) 30
6 A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of : A) 0% B) 5% C) 7.5% D) 10%
7 A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after 2 more days, B alone can do the work in A) 5 days B) 6 days C) 9 days D) 10 days E) 8 days
8 If $\left(\frac{1}{5}\right):\left(\frac{1}{x}\right)$ $=\left(\frac{1}{x}\right):\left(\frac{100}{125}\right)$, then the value of $x$ is : A) 1.5 B) 2 C) 2.5 D) 3 E) 3.5
9 How many two-digit numbers satisfy this property : The last digit (unit's digit) of the square of the two-digit number is 8 ? A) 3 B) 2 C) 1 D) None of these
10 The number of students studying Arts, Commerce and Science in an institute were in the ratio 6:5:3 respectively. If the number of students in Arts, Commerce and Science were increased by 10%, 30% and 15% respectively, what was the new ratio between number of students in the three streams? A) 120 : 115 : 60 B) 110 : 100 : 70 C) 125 : 120 : 65 D) 140 : 130 : 80 E) 132 : 130 : 69
11 If a typist can type 75 pages of manuscript having 44 lines on each pages and 16 words to the line in 5 days .How many pages of 30 lines each and 16 words to each line can she type in 6 days? A) 132 B) 110 C) 180 D) 85 E) 115
12 A contractor undertakes to dig a canal 12 km long in 350 days and employes 45 men .He finds after 200 days of working that only $4\frac{1}{2}$ km of canal have been completed. How many extra men must be employed to finish the work in time? A) 50 B) 45 C) 60 D) 65 E) 55
13 If $1^{3}+2^{3}+..........+9^{3}=2025 then the value (0.11)^{3}+(0.22)^{3}+......+(0.99^{3})$ is close to A) 0.2695 B) 0.3696 C) 2.695 D) 3.695
Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question. 14 Find the speed of the train whose length is $210$ metres ? I. The train crosses another train of $300$ meters length running in opposite direction in $10$ seconds. II. The train crosses another train running in the same direction at the speed of $60$ km/hr in $30$ seconds. A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer E) Both I and II are necessary to answer
15 The radius of sphere is doubled.What would be the effect on the surface area of the sphere? A) Becomes 16 times B) Becomes 8 times C) Becomes 4 times D) Becomes 2 times
