loafeihong/math_mmlu_format huggingface dataset:
The average age of students in section A of 100 students is 20 years and the average age of students in section B of 150 students is 30 years. Find the average age of students in both sections taken together? Answer Choice: (A) 26 years (B) 30years (C) 15years (D) 25years (E) 20years
Answer: A
The letters of the word WOMAN are written in all possible orders and these words are written out as in a dictionary ,then the rank of the word 'WOMAN' is Answer Choice: (A) 117 (B) 120 (C) 118 (D) 119 (E) 116
Answer: A
In a mixed college 160 students are there in one class. Out of this 160 students 5/8 students are girls. How many boys are there ? Answer Choice: (A) A)40 (B) B)60 (C) C)80 (D) D)120 (E) E)140
Answer: B
Which one the following fractions has the Lowest value? Answer Choice: (A) A)488/850 (B) B)499/850 (C) C)477/850 (D) D)511/850 (E) E)501/850
Answer: C
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is Answer Choice: (A) 7 : 3 (B) 2 : 3 (C) 9 : 3 (D) 6 : 3 (E) 2 : 5
Answer: B
Find the area of circle whose radius is 7m? Answer Choice: (A) 288 (B) 154 (C) 767 (D) 168 (E) 178
Answer: B
The value of a car depreciates at the rate of 40% every year. It was purchased 3 years ago. If its present value is Rs. 864, its purchase price was Answer Choice: (A) 4500 (B) 4000 (C) 3500 (D) 3000 (E) 2500
Answer: B
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3? Answer Choice: (A) 1246 (B) 2346 (C) 5678 (D) 3334 (E) 4567
Answer: D
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $60 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year? Answer Choice: (A)  $752 (B)  $796 (C)  $765 (D)  $773 (E)  $775
Answer: B
A coin is tossed live times. What is the probability that there is at the least one tail? Answer Choice: (A) 31/32 (B) 31/35 (C) 31/39 (D) 31/12 (E) 31/39
Answer: A
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
10 – 9 + 8 × 3 ÷ 20 = Answer Choice: (A) 6 (B) 10 (C) 14 (D) -2 (E) 8
Answer: C
In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way? Answer Choice: (A) 8 sec (B) 1 sec (C) 9 sec (D) 6 sec (E) 2 sec
Answer: E
A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
. Answer Choice: (A) 1000 profit (B) 2000 profit (C) 1000 loss (D) 2000 loss (E) 3334 loss
Answer: C
Aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking? Answer Choice: (A) 15 (B) 18 (C) 10 (D) 12 (E) 14
Answer: C
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2430? Answer Choice: (A) s.800 (B) s.810 (C) s.820 (D) s.900 (E) s.920
Answer: B
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is: Answer Choice: (A) Rs. 207.40 (B) Rs. 534.60 (C) Rs. 648 (D) Rs. 655.60 (E) Rs. 685.60
Answer: C
Evaluate combination
15C5 Answer Choice: (A) 10000 (B) 3003 (C) 10 (D) 1 (E) 0
Answer: B
At what rate percent of simple interest will a sum of money double itself in 33 years? Answer Choice: (A) 6.54 % (B) 4.54 % (C) 8 .2 % (D) 3.03 % (E) 5.54 %
Answer: D
When a train travels at a speed of 70kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey? Answer Choice: (A) 37.5km (B) 50.5km (C) 60km (D) 85.5km (E) 95km
Answer: A
John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase? Answer Choice: (A) 20% (B) 16.66% (C) 16.56% (D) 17.66% (E) 18.1%
Answer: A
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together? Answer Choice: (A) (5 + 5/11 )min past7 (B) (5 + 5/11 )min past6 (C) (5 + 5/11 )min past2 (D) (5 + 5/11 )min past1 (E) (5 + 5/11 )min past8
Answer: A
There are 42 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs? Answer Choice: (A) 1) 4 (B) 2) 7 (C) 3) 12 (D) 4) 21 (E) 5) 27
Answer: C
A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally? Answer Choice: (A) 420 (B) 700 (C) 220 (D) 500 (E) None of these
Answer: D
In May Mrs Lee's earnings were 50 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ? Answer Choice: (A) 55 (B) 56 (C) 34 (D) 78 (E) 23
Answer: A
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age? Answer Choice: (A) 2288 (B) 277 (C) 800 (D) 2878 (E) 211
Answer: C
If a : b = 5 : 9 and b : c = 4: 7, find a : b : c Answer Choice: (A) 63:36:20 (B) 36:20:63 (C) 20:63:36 (D) 20:36:63 (E) None of them
Answer: D
The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife? Answer Choice: (A) 3:2 (B) 4:1 (C) 3:2 (D) Cannot be determined (E) None of these
Answer: D
There are 50 girls in a dance group in a private school. 30% of them dance hip hop and 80% dance ballet. How many of them dance both hip hop or ballet? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: A
If 40% of a number is 24, then the number is Answer Choice: (A) number is 60 (B) number is 70 (C) number is 90 (D) number is 80 (E) None of these
Answer: A
A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ? Answer Choice: (A) 40 (B) 54 (C) 45 (D) 50 (E) None
Answer: D
If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 15 hrs without leakage Answer Choice: (A) 12hrs (B) 24hrs (C) 36hrs (D) 48hrs (E) 90hrs
Answer: E
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 2H, which of the following represents the amount that Roberta paid? Answer Choice: (A) D + 40 (B) D + H – 1 (C) D + 2H (D) 3.01H (E) 1.21D
Answer: D
The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 56 years later? Answer Choice: (A) $ 280,000 (B) $ 320,000 (C) $ 360,000 (D) $ 450,000 (E) $ 640,000
Answer: E
Jar A has 6% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles? Answer Choice: (A) 2.8% (B) 3.0% (C) 3.2% (D) 3.4% (E) 3.6%
Answer: A
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is: Answer Choice: (A) Rs 4000 (B) Rs 3000 (C) Rs 5000 (D) Rs 4500 (E) Rs 6000
Answer: C
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 178 (B) 169 (C) 245 (D) 178 (E) 119
Answer: C
What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ? Answer Choice: (A) 19226 (B) 16226 (C) 19216 (D) 19126 (E) None of these
Answer: D
If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2? Answer Choice: (A) 13 (B) 53 (C) 43 (D) 23 (E) 33
Answer: E
A driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance? Answer Choice: (A) 1.5 (B) 2 (C) 2.4 (D) 2.7 (E) 3
Answer: E
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 30 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) 8 min (B) 7.5 min (C) 5 min (D) 9 min (E) 4 min
Answer: B
A certain company employs 7 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible? Answer Choice: (A) 8 (B) 24 (C) 58 (D) 140 (E) 210
Answer: D
Ajay can walk 10km in 1 hour. In how many hours he can walk 50km? Answer Choice: (A) 5hrs (B) 10hrs (C) 15hrs (D) 20hrs (E) 30hrs
Answer: A
The radius of a semi circle is 6.5 cm then its perimeter is? Answer Choice: (A) 32.7 (B) 32.4 (C) 33.4 (D) 32.8 (E) 32.1
Answer: C
The average of 6 no.'s is 3.95. The average of 2 of them is 3.6, while the average of the other 2 is 3.85. What is the average of the remaining 2 no's? Answer Choice: (A) 4.2 (B) 4.4 (C) 4.6 (D) 5.6 (E) 5.7
Answer: B
A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Answer Choice: (A) 227 (B) 266 (C) 230 (D) 288 (E) 200
Answer: E
657.987 - ? + 56.84 = 324.943 Answer Choice: (A) A)899.015 (B) B)752.804 (C) C)389.884 (D) D)629.906 (E) of these
Answer: C
The G.C.D. of 1.08, 0.36 and 0.7 is: Answer Choice: (A) 0.02 (B) 0.9 (C) 0.18 (D) 0.108 (E) 0.118
Answer: A
Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65 Answer Choice: (A) 50 (B) 38 (C) 26 (D) 65 (E) 50
Answer: B
There are two taps, which are used to fill the tank and one tap to empty the tank. First tap fill the tank in 10 min., while the second takes quarter of an hour to fill the tank if both are operated independently.Third tap is capable of emptying the tank in seven and a half minutes. If all the taps are opened simultaneously how long (if ever) will it take for the tank to get filled completely? Answer Choice: (A) 10 minutes (B) 20 minutes (C) 30 minutes (D) 40 minutes (E) 50 minutes
Answer: C
How many numbers between 100 and 714 are divisible by 2, 3, and 7 together? Answer Choice: (A) 112 (B) 77 (C) 267 (D) 15 (E) 99
Answer: D
The population of Linterhast was 3,600 people in 1990 and 4,800 people in 1993. If the population growth rate per thousand is constant, then what will be the population in 1996? Answer Choice: (A) 6000 (B) 6400 (C) 7200 (D) 8000 (E) 9600
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 100 (B) 110 (C) 120 (D) 121 (E) 123
Answer: C
A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Answer Choice: (A) 6 (B) 8 (C) 16 (D) 124 (E) 128
Answer: E
An investment yields an interest payment of $231 each month. If the simple annual interest rate is 9%, what is the amount of the investment? Answer Choice: (A) $28,300 (B) $30,800 (C) $31,300 (D) $32,500 (E) $35,100
Answer: B
A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases? Answer Choice: (A) 200BC (B) 200B/C (C) 400BC (D) 400B/C (E) 400/BC
Answer: C
Which of the following data sets has the second largest standard deviation? Answer Choice: (A)  {1, 2, 3, 4, 5} (B)  {2, 3, 3, 3, 4} (C)  {2, 2, 2, 4, 5} (D)  {0, 2, 3, 4, 6} (E)  {-1, 1, 3, 5, 7}
Answer: D
If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students? Answer Choice: (A) 42 (B) 45 (C) 41 (D) 40 (E) 39
Answer: A
A carpenter makes 5 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers? Answer Choice: (A) 3. (B) 4. (C) 5. (D) 6. (E) 7.
Answer: C
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram? Answer Choice: (A) 833 1/7 grams (B) 833 1/3 grams (C) 833 8/3 grams (D) 933 1/3 grams (E) 833 1/4 grams
Answer: B
For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14 Answer Choice: (A) a) 12 (B) b) 6 (C) c) 10 (D) d) 16 (E) e) 18
Answer: E
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 44 with him, what was the average amount with the group before his joining the group? Answer Choice: (A) s.16 (B) s.14 (C) s.15 (D) s.22 (E) s.12
Answer: A
A student traveled 30 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip? Answer Choice: (A) 120 (B) 140 (C) 160 (D) 180 (E) 200
Answer: E
Solution for 1.35+.123+.321 Answer Choice: (A) 2.91 (B) 1.794 (C) 1.338 (D) 1.986 (E) 1.999
Answer: B
By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answer Choice: (A) 16 (B) 7 (C) 6 (D) 4 (E) 9
Answer: A
Solution X is 40% chemical A and 60% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 47% chemical A, what percent of the mixture is Solution X? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 30% (E) 35%
Answer: D
A trader bought a car at 20% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 18% (B) 13% (C) 12% (D) 32% (E) 44%
Answer: E
For what value of â€œkâ€ will the equation (2kx2 + 3kx +2)=0 have equal roots? Answer Choice: (A) 2/7 (B) 9/4 (C) 16/25 (D) 7/1 (E) 16/9
Answer: E
The closest approximation of Q=(69.28 × 0.004)/0.03 is Answer Choice: (A) 0.092 (B) 0.92 (C) 9.2 (D) 92 (E) 920
Answer: C
1,2,2,4,8,32,?(mult) Answer Choice: (A) 2816 (B) 1816 (C) 2812 (D) 2817 (E) 6816
Answer: A
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 5-hour period? Answer Choice: (A) 88 (B) 56 (C) 45 (D) 42 (E) 64
Answer: D
man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Answer Choice: (A) 14years (B) 26 years (C) 17 years (D) 18 years (E) 22 years
Answer: B
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time R it could take for 10 cars to be complete? Answer Choice: (A) 111 1/9 minutes (B) 115 2/5 minutes (C) 116 minutes (D) 120 minutes (E) 125 minutes
Answer: D
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Answer Choice: (A) 235 (B) 240 (C) 245 (D) 250 (E) 255
Answer: C
R campers fished for 5 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour? Answer Choice: (A) 2m + n(R-m) (B) (2m + n(R-m))/3 (C) (2m + n(m-R))/3 (D) (2m + n)/5 (E) (2m + n)/R
Answer: D
if the angles of an n sided polygon are in A.P and a>=20 and d>=20 then wat is the maximum possible value of n? Answer Choice: (A) 12 (B) 14 (C) 21 (D) 25 (E) cant determine
Answer: B
In a class Students are seated in 15 rows. There are 15 students in the first row and 16 students in the second row. In each subsequent row there are 2 more students than in the previous row. Find the total number of students in the class? Answer Choice: (A) 406 (B) 420 (C) 521 (D) 460 (E) 421
Answer: E
By how much is three-fifth of 350 greater than four-seventh of 210 ? Answer Choice: (A) 90 (B) 100 (C) 110 (D) 120 (E) 130
Answer: A
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $111 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary? Answer Choice: (A) $2400 (B) $3200 (C) $6000 (D) $6400 (E) $3700
Answer: E
If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be: Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
In a division, divident is 690, divisior is 36 and quotient is 19. Find the remainder. Answer Choice: (A) A)4 (B) B)3 (C) C)2 (D) D)5 (E) E)6
Answer: E
A present value of a machine is $900. Its value depletiation rate is 25% per annum then find the machine value before 2 years? Answer Choice: (A) $1500 (B) $1200 (C) $1600 (D) $1000 (E) $1350
Answer: C
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 30, the dividend is: Answer Choice: (A) A)5322 (B) B)5330 (C) C)2280 (D) D)5340 (E) E)5342
Answer: C
The length of the bridge, which a train 200 metres long and travelling at 60 km/hr can cross in 30 seconds, is? Answer Choice: (A) 720 (B) 470 (C) 270 (D) 370 m. (E) 570
Answer: D
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%? Answer Choice: (A) 3299 (B) 2690 (C) 2800 (D) 2692 (E) 2981
Answer: C
There are 30 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall? Answer Choice: (A) 6 (B) 12 (C) 15 (D) 24 (E) 27
Answer: C
96% of the population of a village is 23040. The total population of the village is? Answer Choice: (A) 16800 (B) 1689 (C) 6795 (D) 24000 (E) 12654
Answer: D
Value of
(256)5/4 Answer Choice: (A) 1012 (B) 1024 (C) 1048 (D) 525 (E) None of these
Answer: B
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour? Answer Choice: (A) 100 miles / hour (B) 90 miles / hour (C) 70 miles / hour (D) 60 miles / hour (E) 30 miles / hour
Answer: D
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 50 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is Answer Choice: (A) 90 (B) 99 (C) 92 (D) 94 (E) 97
Answer: B
A student is ranked 21th from right and 11th from left. How many students are there in totality ? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 31 (E) 22
Answer: D
In the formula V = 1/(3r)^4, if r is halved, then V is multiplied by Answer Choice: (A) 64 (B) 8 (C) 16 (D) 1/8 (E) 1/64
Answer: C
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? Answer Choice: (A) 76 seconds (B) 18 seconds (C) 40 seconds (D) 19 seconds (E) 45 seconds
Answer: C
In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen? Answer Choice: (A) 50 (B) 45. (C) 40. (D) 30. (E) 25.
Answer: A
At the end of year X, automobile installment credit accounted for 43% of all outstanding consumer installment credit. At that time automobile finance companies extended $50 billion of credit, or 1/4 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time? Answer Choice: (A) 450 (B) 465.12 (C) 475 (D) 500.15 (E) 200
Answer: B
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 45 more revolutions than gear P? Answer Choice: (A) 45 (B) 80 (C) 90 (D) 100 (E) 120
Answer: C
A cistern is filled by pipe A in 12 hours and the full cistern can be leaked out by an exhaust pipe B in 18 hours. If both the pipes are opened, in what time the cistern is full? Answer Choice: (A) 50hrs (B) 60hrs (C) 36hrs (D) 80hrs (E) 90hrs
Answer: C
A 72 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume? Answer Choice: (A) 8 (B) 12 (C) 18 (D) 14 (E) 16
Answer: C
A pet shop sells 50 rabbits for Rs. 2000 at a profit of Rs. 12 per rabbit. Find the cost price for one rabbit? Answer Choice: (A) 20 (B) 52 (C) 28 (D) 40 (E) 15
Answer: C
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters. Answer Choice: (A) 63^4 (B) 62^5 (C) 62(62^4) (D) 63(62^4) (E) 63(62^6)
Answer: D
A can do a work in 20 days. B is 30% more efficient than A. How many days does B alone take to do the same job? Answer Choice: (A) 121/23 (B) 129/12 (C) 198/13 (D) 200/13 (E) 199/18
Answer: D
Harry is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 10 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain? Answer Choice: (A)  5.5 (B)  5.8 (C)  6.0 (D)  6.3 (E)  6.6
Answer: E
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choice: (A) 1 : 8 (B) 1 : 0 (C) 1 : 2 (D) 1 : 1 (E) 1 : 5
Answer: D
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction f of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution? Answer Choice: (A) 11/14 (B) 13/18 (C) 4/7 (D) 3/7 (E) 3/14
Answer: A
Twelve participants are participating in a competition. In how many ways can the first three prizes be won? Answer Choice: (A) 1320 (B) 680 (C) 820 (D) 720 (E) 620
Answer: A