loafeihong/math_mmlu_format huggingface dataset:
If a certain sample of data has a mean of 29.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? Answer Choice: (A) (26.0; 36.5) (B) (24.5; 31.0) (C) (22.0; 35.5) (D) (26.5; 36.0) (E) (25.0; 29.5)
Answer: C
If A and b are both odd numbers which of the following is an even number? Answer Choice: (A) a+b (B) a+b+1 (C) ab (D) ab+2 (E) None
Answer: A
A division of a company consists of three men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female? Answer Choice: (A) 1/4 (B) 2/9 (C) 3/11 (D) 5/14 (E) 6/17
Answer: D
If integers d and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. db + b^2
II. (d + b)^2
III. d + b Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
Answer: B
Flora and Ed will throw five dice each. The score is the sum of points on all five dice. If Flora scores 17 in her attempt, what is the probability that Ed will outscore Flora in his attempt? Answer Choice: (A) 3/4 (B) 2/3 (C) 1/2 (D) 1/3 (E) 1/4
Answer: C
The milk level in a rectangular box measuring 50 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons) Answer Choice: (A) 100 (B) 250 (C) 750 (D) 4687.5 (E) 5635.5
Answer: D
TWO WORKERS A AND B ARE ENGAGED TO DO A WORK. A WORKING ALONE TAKES 8 HOURS MORE TO COMPLETE THE JOB THAN IF BOTH WORKED TOGETHER. IF B WORKED ALONE, HE WOULD NEED 4 1/2 HOURS MORE TO COMPLETE THE JOB THAN THEY BOTH WORKING TOGETHER. WHAT TIME WOULD THEY TAKE TO DO THE WORK TOGETHER? Answer Choice: (A) 4 HOURS (B) 5 HOURS (C) 6 HOURS (D) 7 HOURS (E) NONE OF THESE
Answer: C
A total of 40 men and 25 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women? Answer Choice: (A)  31 (B)  30.2 (C)  32 (D)  32.5 (E)  33
Answer: B
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Answer Choice: (A) 50 (B) 99 (C) 88 (D) 77 (E) 12
Answer: A
Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin? Answer Choice: (A) 24.7 years (B) 28.5 years (C) 24.6 years (D) 23.5 years (E) 24.5 years
Answer: E
A person has to cover a distance of 100km in 10hour. If he covers one half of the distance in half of the total time; to cover the remaining distance in the remaining time, his speed must be? Answer Choice: (A) 20km/hr (B) 15km/hr (C) 25km/hr (D) 10km/hr (E) 5km/hr
Answer: D
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: D
Rajesh is 20 years old and Mary is 30years old. How many years ago was the ratio of their ages 2:5? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30
Answer: C
If A is the least common multiple of 90,196, and 300, which of the following is NOT a factor of A? Answer Choice: (A) 600 (B) 700 (C) 900 (D) 2,100 (E) 4,900
Answer: A
A car covers a distance of 782 km in 8 hours. Find its speed? Answer Choice: (A) 104 kmph (B) 89 kmph (C) 288 kmph (D) 97 kmph (E) 87 kmph
Answer: D
From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x) Answer Choice: (A) 6 (B) 14 (C) 15 (D) 16 (E) 30
Answer: A
16 boys or 24 girls can construct the wall in 6 days. the number of days that 4 boys and 12 girls Will take to construct? Answer Choice: (A) 7 days (B) 14 days (C) 6 days (D) 8 days (E) 9 days
Answer: D
In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number W of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85? Answer Choice: (A) 144 (B) 189 (C) 234 (D) 279 (E) 309
Answer: D
What is the Compound Interest on Rs.7000 at 8.5% p.a. compounded half-yearly for 5 years. Answer Choice: (A) 3616.5 (B) 3613.5 (C) 3313.5 (D) 3616.5 (E) 3113.5
Answer: B
A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal? Answer Choice: (A) 18% (B) 20% (C) 17% (D) 33% (E) None of these
Answer: D
In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit? Answer Choice: (A) 10800 (B) 10600 (C) 10400 (D) 10200 (E) 10000
Answer: C
A group of n people, including Caroline and her best friend Catherine, stand in random order
around a circle, with each order being equally likely. If the probability that Catherine is adjacent
to Caroline is 1/9 , then what is the value of n? Answer Choice: (A) 20 (B) 19 (C) 18 (D) 17 (E) 16
Answer: B
A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 3 percent and 6 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate? Answer Choice: (A)  3/8 (B)  21/25 (C)  1/2 (D)  3/5 (E)  3/4
Answer: B
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively? Answer Choice: (A) 2 (B) 7 (C) 6 (D) 4 (E) 2
Answer: D
The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from each cow each year? Answer Choice: (A) 3472 (B) 8222 (C) 4370 (D) 26777 (E) 8222
Answer: C
At a certain health club, 30 percent of the members use both the pool and sauna, but 20 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool? Answer Choice: (A) 58 1/3% (B) 40% (C) 50% (D) 62 1/2% (E) 75%
Answer: A
In a camp, there is a meal for 160 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ? Answer Choice: (A) 38 men (B) 32 men (C) 34 men (D) 40 men (E) None of these
Answer: D
A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 25 speak English well, while 65 of them do not speak English. If 55% of students do not speak French, how many students were surveyed? Answer Choice: (A) 190 (B) 175 (C) 225 (D) 200 (E) 250
Answer: D
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 61 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees? Answer Choice: (A)  34% (B)  38% (C)  45% (D)  53% (E)  62%
Answer: D
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? Answer Choice: (A) 6.8 (B) 7.4 (C) 7.7 (D) 8.2 (E) 8.6
Answer: B
The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A? Answer Choice: (A) 8500 (B) 3500 (C) 4500 (D) 5000 (E) 1500
Answer: D
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is? Answer Choice: (A) 17/28 (B) 17/21 (C) 17/23 (D) 17/20 (E) 17/22
Answer: D
The average of 9 numbers is 8 and the average of 7 other numbers is 8. What is the average of all 16 numbers? Answer Choice: (A) 9 (B) 8 (C) 7 7⁄8 (D) 7 1⁄2 (E) 7 1⁄4
Answer: B
In Arun's opinion, his weight is greater than 63 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 66 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ? Answer Choice: (A) 86.5 kg (B) 64.5 kg (C) 46.5 kg (D) 26.5 kg (E) 16.5 kg
Answer: B
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B? Answer Choice: (A) 80 lakh (B) 50 lakh (C) 72 lakh (D) 60 lakh (E) None of these
Answer: C
3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango. Answer Choice: (A) 38 (B) 92 (C) 72 (D) 37 (E) 28
Answer: D
Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ? Answer Choice: (A) 32 years, 23 years (B) 32 years, 29 years (C) 35 years, 29 years (D) 35 years, 33 years (E) 34 years, 33 years
Answer: A
If $800 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 5 years? Answer Choice: (A) $950.00 (B) $929.29 (C) $973.25 (D) $100.25 (E) $110.00
Answer: A
Find the angle between the hour hand and the minute hand of a clock when the time is 3.25 Answer Choice: (A) 47.5 degrees (B) 67.5 degrees (C) 27.5 degrees (D) 87.5 degrees (E) 97.5 degrees
Answer: A
If S is the sum of the reciprocals of the consecutive integers from 41 to 50, inclusive, which of the following is less than S?
I. 1/4
II. 1/5
III. 1/6
IV. 1/4>S >1/5 Answer Choice: (A) I (B) II (C) III (D) I&II (E) IV
Answer: E
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10%? Answer Choice: (A) 20% (B) 29% (C) 10% (D) 35% (E) 90%
Answer: D
A man sells two articles for Rs.3250 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss? Answer Choice: (A) 19%loss (B) 12%loss (C) 16%loss (D) 18%loss (E) 11%loss
Answer: C
Which of the following is a prime number ? Answer Choice: (A) 81 (B) 90 (C) 97 (D) 99 (E) None
Answer: C
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? Answer Choice: (A) 28829 (B) 27769 (C) 26552 (D) 11750 (E) 29972
Answer: D
Replace the ____ by the correct mathematic symbol to make expression true?
18 ? 12 ? 4 ? 5 = 59 Answer Choice: (A) 18*12/4+5 (B) 18/12*4-5 (C) 18*12*4+5 (D) 18*12/4-5 (E) None
Answer: A
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is: Answer Choice: (A) 4452 (B) 5340 (C) 5342 (D) 5345 (E) 5356
Answer: A
A school’s annual budget for the purchase of student computers increased by 20% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year? Answer Choice: (A) 5% (B) 2% (C) 3% (D) 1% (E) 0%
Answer: E
In how many of ways can 5 balls be placed in 3 tins if any number of balls can be placed in any tin? Answer Choice: (A)  5C4 (B)  5P4 (C)  54 (D)  4^5 (E)  3^5
Answer: E
A trader has 50 kg of pulses, part of which he sells at 8 per cent profit and the rest at 18 per cent profii. He gains 14 per cent on the whole. What is the quantity sold at 18 per cent profit? Answer Choice: (A) 30 kg (B) 25 kg (C) 20 kg (D) 40 kg (E) none of these
Answer: A
How many different values of positive integer x, for which |x+4|<x, are there? Answer Choice: (A) 0 (B) 2 (C) 3 (D) 8 (E) 16
Answer: D
The average monthly salary of 20 employees in an organisation is Rs. 1300. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? Answer Choice: (A) 3600 (B) 3890 (C) 88798 (D) 3400 (E) 2891
Answer: D
One paper is equally folded 35 times, then what is the new thickness of the paper ? Answer Choice: (A) 50 T (B) 2T (C) T x (2 ^90) (D) T x (2 ^20) (E) T x (2 ^50)
Answer: E
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 37 minutes, then the slower pipe alone will be able to fill the tank in Answer Choice: (A) 148 mins (B) 140 mins (C) 136 mins (D) 132 minw (E) None of these
Answer: A
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 7 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create? Answer Choice: (A) 3,150 (B) 4,200 (C) 7350 (D) 20,520 (E) 84,000
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 33 times, A has killed: Answer Choice: (A) 60 birds (B) 72 birds (C) 37 birds (D) 80 birds (E) 20 birds
Answer: C
From below option 51 is divisible by which one? Answer Choice: (A) A)4 (B) B)5 (C) C)6 (D) D)3 (E) E)7
Answer: D
Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ? Answer Choice: (A) 518 (B) 452 (C) 468 (D) 502 (E) 396
Answer: C
How many prime numbers between 1 and 100 are factors of 7150? Answer Choice: (A) 238 (B) 100 (C) 299 (D) 270 (E) 111
Answer: B
I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b? Answer Choice: (A) a > b (B) a ≥ b (C) a < b (D) a ≤ b (E) a = b or the relationship between a and b cannot be established.
Answer: B
The length of a side on an equilateral triangle is doubled. If y is the previous parameter, what is the value of the new parameter? Answer Choice: (A) 2y (B) 1y (C) 3y (D) 4y (E) 12y
Answer: A
The cost of water in the area where the Jones family lives is scheduled to increase by 35% next year. Since the Jones family cannot afford an increase in their water bill, how much will they have to reduce consumption to keep their cost the same? Answer Choice: (A) None (B) 25.9% (C) 10.2% (D) 45% (E) 15.5%
Answer: B
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 60% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets? Answer Choice: (A) 66% (B) 75% (C) 89% (D) 116% (E) 150%
Answer: C
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 65. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x? Answer Choice: (A) 1 (B) 5 (C) 9 (D) 15 (E) 30
Answer: A
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. 2000 more than D, what is B's share? Answer Choice: (A) A)4000 (B) B)2900 (C) C)2000 (D) D)2393 (E) E)2009
Answer: A
Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g? Answer Choice: (A) 75 (B) 92 (C) -101 (D) 142 (E) 160
Answer: C
How many different arrangements of A, B, C, D, and E are possible where A is not adjacent to B and D is not adjacent to E? Answer Choice: (A) 96 (B) 48 (C) 32 (D) 30 (E) 1
Answer: B
If m is an integer such that (-2)^2m=2^(24-m) then m=? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: B
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ? Answer Choice: (A) 65 hours (B) 60 hours (C) 30 hours (D) 62 hours (E) 66 hours
Answer: B
In a zoo there are 50 penguins, 4 lions, and 20 tarantulas with some zookeepers. If the total number of feet be XXX more than the number of heads in the caravan, the number of zookeepers is Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8
Answer: E
In a sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence? Answer Choice: (A)  3/5 (B)  5/8 (C)  8/5 (D)  5/3 (E)  9/2
Answer: C
Shopkeeper rise price by 32% and gives successive discount of 10% and 15%. What is overall % gain or loss? Answer Choice: (A) 0.98% (B) 4.98% (C) 3.95% (D) 6.98% (E) 7.98%
Answer: A
A worker is paid x rupees for painting every 30 metres of a wall and y rupees for painting every extra metre. During one week, he painted 30 metres on Monday, 30 metres on Tuesday, 32 metres on Wednesday, 32 metres on Thursday and 31 metres on Friday. What is his average daily earning rupees for the five day week? Answer Choice: (A) x + (8/5)y (B) (5x + 9y)/5 (C) 10x + (8/5)y (D) None of these (E) x+y
Answer: E
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate T of movement for his trip along the moving walkway? Answer Choice: (A) 2 feet per second (B) 2.5 feet per second (C) 3 feet per second (D) 4 feet per second (E) 5 feet per second
Answer: E
If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Answer Choice: (A) 127 (B) 237 (C) 300 (D) 450 (E) 281
Answer: C
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? Answer Choice: (A) 75 (B) 65 (C) 85 (D) 95 (E) 80
Answer: C
If (2^12)(25^S) = 5(10^m) what is the value of m ? Answer Choice: (A) 12 (B) 8 (C) 15 (D) 16 (E) 23
Answer: A
X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 36days. How long will Y take to complete the work? Answer Choice: (A) 45 (B) 12 (C) 15 (D) 18 (E) 20
Answer: A
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 12x + 3 = 0? Answer Choice: (A) 6 (B) 7 (C) 23 (D) 17 (E) 42
Answer: E
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Answer Choice: (A) 26% (B) 25% (C) 85% (D) 24% (E) 22%
Answer: B
A cylindrical water tower with radius 2.5 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank? Answer Choice: (A) 20 2/7 (B) 20 6/7 (C) 21 (D) 21 3/7 (E) 3
Answer: E
Two cars were driven by R and B. They were 580 miles apart when they started driving towards each other.R's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: E
From the given equation find the value of x: x² − 3x + 2 Answer Choice: (A) -1 (B) 1 (C) -2 (D) 3 (E) 4
Answer: B
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers? Answer Choice: (A) 26 (B) 27 (C) 28 (D) 29 (E) 30
Answer: B
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it? Answer Choice: (A) 56.27 % (B) 56.65 % (C) 56.65 % (D) 58.25 % (E) 52.25 %
Answer: C
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 196, what is the difference between the ages of Patrick and Monica? Answer Choice: (A) 27 (B) 64 (C) 45 (D) 72 (E) 18
Answer: B
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 Answer Choice: (A) No profit, no loss (B) 5% (C) 8% (D) 10% (E) None of these
Answer: B
The present age of a father is 3 years more than three times the age of his son. Three years hence ,father's age will be 10 years more than twice the age of the son , Find the present age of the father. Answer Choice: (A) 33 years (B) 35 years (C) 31 years (D) 35 years (E) 40 years
Answer: A
The average of 6 no.'s is 2.80. The average of 2 of them is 2.4, while the average of the other 2 is 2.3. What is the average of the remaining 2 no's? Answer Choice: (A) 2.3 (B) 2.6 (C) 3.6 (D) 3.7 (E) 4.6
Answer: D
Mother,her daughter and her grand child weighs 150 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter? Answer Choice: (A) 46 (B) 47 (C) 42 (D) 49 (E) 50
Answer: C
Divide $900 among A,B in the ratio 1:2. How many $ that A get? Answer Choice: (A) $50 (B) $300 (C) $150 (D) $250 (E) $600
Answer: B
The sub-duplicate ratio of 9:25 is Answer Choice: (A) 4:3 (B) 1:2 (C) 3:5 (D) 1:4 (E) 2:3
Answer: C
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next? Answer Choice: (A) 10 (B) 8 (C) 7 (D) 9 (E) 12
Answer: A
Rs. 6000 is lent out in two parts. One part is lent at 6% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest? Answer Choice: (A) 5:1 (B) 5:5 (C) 5:8 (D) 5:4 (E) 5:3
Answer: E
Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost $3.6 per pound, and German chocolate cost $3 per pound. if the total the she spent on chocolate was $36 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased? Answer Choice: (A) 7 (B) 8 (C) 10 (D) 15 (E) 36/3
Answer: E
What is the tens' digit W of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...? Answer Choice: (A) W=2 (B) W=3 (C) 4 (D) 8 (E) 9
Answer: B
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ? Answer Choice: (A) Rs. 4, Rs. 23 (B) Rs. 13, Rs. 17 (C) Rs. 15, Rs. 14 (D) Rs. 17, Rs. 13 (E) Rs. 19, Rs. 15
Answer: B
For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 40 color copies at Print Shop Y than at Print Shop X? Answer Choice: (A) $48 (B) $54 (C) $60 (D) $66 (E) $72
Answer: C