Number System:
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. 600 B. 768 C. 864 D. 384 Answer: D
3. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm? A. 176 B. 187 C. 540 D. 748 Answer: B
4. What number should be subtracted from [latex]x^3+4x^2−7x+12[/latex], if it is to be perfectly divisible by x+3? A. 42 B. 39 C. 13 D. None of these Answer: A
5. Find the remainder when 289 is divided by 89? A. 1 B. 2 C. 87 D. 88 Answer: B
Whole Numbers:
1. Which one of the following is not a prime number? A. 31 B. 61 C. 71 D. 91 Answer: D
2. ([latex]112 * 5^4[/latex]) = ? A. 67000 B. 70000 C. 76500 D. 77200 Answer: B
3. 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 Answer: A
4. 1397 x 1397 = ? A. 1951609 B. 1981709 C. 18362619 D. 2031719 Answer: A
5. How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336 A. 4 B. 5 C. 6 D. 7 Answer: A
Decimal and Fractions:
1. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ? A. 0.172 B. 1.72 C. 17.2 D. 172
2. What decimal of an hour is a second ? A. 0.0025 B. 0.0256 C. 0.00027 D. 0.000126 Answer: C
3. 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: B
4. 3889 + 12.952 - ? = 3854.002 A. 47.095 B. 47.752 C. 47.932 D. 47.95 Answer: D
5. [latex]\frac{4.2 * 4.2 - 1.9 * 1.9}{2.3 * 6.1}[/latex] is equal to: A. 0.5 B. 1.0 C. 20 D. 22 Answer: B
Percentage:
1. What percent is 70 of 280? A. 25% B. 50% C. 75% D. None of these Answer: A
2. Express 3/4 as rate percent. A. 80% B. 30% C. 75% D. 25% Answer: C
3. If y exceeds x by 20%, then x is less than y by? A. 16% B. 16 1/3 % C. 16 2/3 % D. 16 3/5 % Answer: C
4. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are: A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34 Answer: C
5. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? A. 1 B. 14 C. 20 D. 21 Answer: C
Ratio and Proportion:
1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7 Answer: C
2. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? A. Rs.500 B. Rs.1500 C. Rs.2000 D. None of these Answer: C
3. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? A. 2 : 3 : 4 B. 6 : 7 : 8 C. 6 : 8 : 9 D. None of these Answer: A
4. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is: A. 20 litres B. 30 litres C. 40 litres D. 60 litres Answer: D
5. If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d? A. 5:12 B. 7:12 C. 3:11 D. 5:11 Answer: A
Average:
1. The average of first 10 even numbers is? A. 18 B. 22 C. 9 D. 11 Answer: D
2. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is? A. 11.0 B. 11.3 C. 11.4 D. 11.5 Answer: D
3. The average of first ten prime numbers which are odd is? A. 12.9 B. 13.8 C. 17 D. 15.8 Answer: D
4. The average of first 10 natural numbers is? A. 5 B. 5.5 C. 6.5 D. 6 Answer: B
5. The average of first 10 odd numbers is? A. 11 B. 10 C. 17 D. 9 Answer: B
Interest:
1. Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120? A. Rs.1000 B. Rs.1100 C. Rs.1050 D. Rs.1200 Answer: A
2. What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? A. Rs.525 B. Rs.500 C. Rs.550 D. Rs.555 Answer: B
3. Find the simple interest on Rs.500 for 9 months at 6 paisa per month? A. Rs.345 B. Rs.270 C. Rs.275 D. Rs.324 Answer: B
4. How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest? A. 2 years B. 3 years C. 1 year D. 4 years Answer: A
5. Arun took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest? A. 8% B. 6% C. 4% D. 7% Answer: D
Profit and Loss:
1. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? A. 30% B. 70% C. 100% D. 250% Answer: B
2. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: A. 15 B. 16 C. 18 D. 25 Answer: B
3. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? A. 3 B. 4 C. 5 D. 6 Answer: C
4. By selling 45 lemons for Rs.40, a man loses 20%. How many should he sell for Rs.24 to gain 20% in the transaction ? A. 16 B. 18 C. 20 D. 22 Answer: B
5. A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is. A. 20% B. 21% C. 22% D. 23% 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. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay? A. Rs.9025.20 B. Rs.9200 C. Rs.9600 D. Rs.9560 Answer: B
3. On a 20% discount sale, an article costs Rs.596. What was the original price of the article? A. Rs.720 B. Rs.735 C. Rs.745 D. Rs.775 Answer: C
4. A discount of 15% on one article is the same as discount of 20% on a second article. The costs of the two articles can be: A. Rs.85, Rs.60 B. Rs.60, Rs.40 C. Rs.40, Rs.20 D. Rs.80, Rs.60 Answer: D
5. The marked price of a watch was Rs.720. A man bought the same watch for Rs. 550.80, after getting two successive discounts. If the first discount was 10%, what was the second discount rate? A. 12% B. 15% C. 14% D. 18% Answer: B
Time and Distance:
1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? A. 3.6 B. 7.2 C. 8.4 D. 10 Answer: B
2. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: A. 50 km B. 56 km C. 70 km D. 80 km Answer: A
3. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: A. 100 kmph B. 110 kmph C. 120 kmph D. 130 kmph Answer: C
4. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? A. 9 B. 10 C. 12 D. 20 Answer: B
5. Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in. A. 12 min B. 25 min C. 40 min D. 60 min Answer: C