Computation of Whole Numbers 1. It is being given that ([latex]2^{32}[/latex] + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number? A. ([latex]2^{16}[/latex] + 1) B. ([latex]2^{16}[/latex] - 1) C. (7 x [latex]2^{23}[/latex]) D. ([latex]2^{96}[/latex] + 1) Answer: D
2. What least number must be added to 1056, so that the sum is completely divisible by 23? A. 2 B. 3 C. 18 D. 21 E. None of these Answer: A
Relationship between Numbers 1. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number? A. 3 B. 4 C. 9 D. Cannot be determined E. None of these Answer: B
2. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: A. 18 B. 24 C. 42 D. 81 Answer: B
Number Systems 1. A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? A. 13 B. 59 C. 35 D. 37 Answer: D
2. The product of 4 consecutive even numbers is always divisible by: A. 384 B. 768 C. 864 D. 600 Answer: A
Decimals and Fractions 1. What decimal of an hour is a second? A. 0.0025 B. 0.0256 C. 0.00027 D. 0.000126 Answer: C
2. The value of [latex]\frac{0.1 * 0.1 * 0.1 + 0.02 * 0.02 * 0.02}{0.2 * 0.2 * 0.2 + 0.04 * 0.04 * 0.04}[/latex] is: A. 0.0125 B. 0.125 C. 0.25 D. 0.5 Answer: Option B
Profit & Loss 1. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? A. Rs. 21,000 B. Rs. 22,500 C. Rs. 25,300 D. Rs. 25,800 Answer: C
2. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: A. No profit, no loss B. 5% C. 8% D. 10% E. None of these Answer: B
Discount 1. 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% Answer: A
2. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is: A. Rs. 1386 B. Rs. 1764 C. Rs. 1575 D. Rs. 2268 Answer: B
Time & Work 1. P, Q and R can do a piece of work in 20, 30 and 60 days respectively. In how many days can P do the work if he is assisted by Q and R on every third day? A. 12 days B. 15 days C. 16 days D. 18 days Answer: B
2. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last? A. 6 days B. 20 days C. 15 days D. 10 days Answer: D
Mensuration 1. What is the are of an equilateral triangle of side 16 cm? A. 64[latex]\sqrt{3} cm^2[/latex] B. 128[latex]\sqrt{3} cm^2[/latex] C. 9.6[latex]\sqrt{3} cm^2[/latex] D. 48[latex]\sqrt{3} cm^2[/latex] E. None of these Answer: A
2. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? A. 25[latex]cm^2[/latex] B. 42[latex]cm^2[/latex] C. 49[latex]cm^2[/latex] D. 70[latex]cm^2[/latex] E. None of these Answer: E