loafeihong/math_mmlu_format huggingface dataset:
Find the area of a parallelogram with base 24 cm and height 16 cm? Answer Choice: (A) 298 cm2 (B) 384 cm2 (C) 278 cm2 (D) 286 cm2 (E) 276 cm2
Answer: B
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be: Answer Choice: (A) 20 cm (B) 23 cm (C) 25 cm (D) 30 cm (E) 32 cm
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails? Answer Choice: (A) a. 4 (B) b. 5/2 (C) c. 2 (D) d. 3/2 (E) e. 5/4
Answer: B
A grocery shop has a sale of Rs. 6535, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) 4857 (B) 4184 (C) 4012 (D) 4891 (E) 5291
Answer: D
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent P of the cost would the gross profit on the item have been if it had been sold without the discount? Answer Choice: (A) 20% (B) 40% (C) 50% (D) 60% (E) 75%
Answer: C
A florist has 3 azaleas, 4 buttercups, and 5 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet? Answer Choice: (A) 19/66 (B) 31/66 (C) 47/66 (D) 87/132 (E) 95/132
Answer: C
A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 350 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra? Answer Choice: (A) 90 (B) 110 (C) 120 (D) 130 (E) 220
Answer: A
How many odd numbers between 10 and 1500 are the squares of integers? Answer Choice: (A) 11 (B) 14 (C) 17 (D) 20 (E) 23
Answer: C
X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X? Answer Choice: (A) 30 (B) 70 (C) 80 (D) 60 (E) 20
Answer: D
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 50% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? Answer Choice: (A) 80 (B) 95 (C) 105 (D) 120 (E) 210
Answer: A
John purchased a paints and a buckets for Rs. 14000 &Rs. 9500 respectively. He sold the paints at a loss of 7% and the buckets at a profit of 12%. Overall how much he make a profit. Answer Choice: (A) 258 (B) 456 (C) 187 (D) 635 (E) 160
Answer: E
1=5,2=25,3=253,4=150,5=225 then 150=? Answer Choice: (A) 1 (B) 255 (C) 4 (D) 445 (E) 235
Answer: C
If f(x) = 2x^2 + y, and f(2) = 50, what is the value of f(5)? Answer Choice: (A) 104 (B) 60 (C) 92 (D) 50 (E) 25
Answer: C
when a no. divided by 406 it gives 115 as a remainder. when it divided by 29 what is the remainder.??? Answer Choice: (A) 7 (B) 28 (C) 29 (D) 2 (E) 5
Answer: B
An article is bought for Rs.600 and sold for Rs.500, find the loss percent? Answer Choice: (A) 16 2/8% (B) 16 8/3% (C) 19 2/3% (D) 16 2/3% (E) 11 2/3%
Answer: D
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring? Answer Choice: (A) 16.16% (B) 15.15% (C) 14.95% (D) 13.33% (E) 12.52%
Answer: C
If the average (arithmetic mean) of x and y is 40, and z – x = 60, what is the average of y and z? Answer Choice: (A) 20 (B) 50 (C) 65 (D) 70 (E) 140
Answer: D
The product of all the prime numbers less than 28 is closest to which of the following powers of 10? Answer Choice: (A) a) 10^9 (B) b) 10^8 (C) c) 10^7 (D) d) 10^6 (E) e) 10^8*2.23
Answer: E
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $600 as interest. What was the annual rate of interest? Answer Choice: (A)  5% (B)  10% (C)  18% (D)  15% (E)  20%
Answer: C
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 23 sec (B) 36 sec (C) 27 sec (D) 28 sec (E) 29 sec
Answer: B
The average expenditure of a labourer for 6 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i Answer Choice: (A) 70 (B) 72 (C) 75 (D) 78 (E) 80
Answer: D
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 4 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them? Answer Choice: (A) 28 km (B) 20 km (C) 65 km (D) 18 km (E) 16 km
Answer: A
The sum of ages of 5 children born 1 year different each is 50 yrs. What is the age of the Elder child? Answer Choice: (A) 8 (B) 9 (C) 16 (D) 17 (E) 18
Answer: B
Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 4 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf? Answer Choice: (A) 54 (B) 57 (C) 58 (D) 61 (E) 63
Answer: A
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle? Answer Choice: (A) 156 (B) 432 (C) 288 (D) 355 (E) 478
Answer: B
The area of the rectangle ABCD is 30. The points E and F are on the diagonal AC as shown,
and 2(AE + FC) = 3 EF. What is the area of △BEF ? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 10 (E) cannot be determined
Answer: B
In a shop 30% of the articles are sold at a profit of 40% and the remaining at a loss of 20%.what is the overall profit/loss? Answer Choice: (A) 2% loss (B) 5% loss (C) 15% profit (D) 3% profit (E) no profit, no loss
Answer: A
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=30/51 ? Answer Choice: (A) 6 (B) 3 (C) 2 (D) 1 (E) 0
Answer: D
When positive integer x is divided by 10, the quotient is y and the remainder is 3. When 2x is divided by 7, the quotient is 3y and the remainder is 1. What is the value of 11y – x? Answer Choice: (A) 2 (B) -2 (C) 3 (D) -3 (E) 4
Answer: A
A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 3 (B) 7 (C) 6 (D) 8 (E) 1
Answer: C
Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 35cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r? Answer Choice: (A) 1280π (B) 75r (C) 48r (D) 24r (E) 68.6r
Answer: E
The length of a rectangular floor is more than its breadth by 200%. If Rs. 624 is required to paint the floor at the rate of Rs. 4 per sq m, then what would be the length of the floor? Answer Choice: (A) 22.8m. (B) 21.6m. (C) 21.1m. (D) 20.6m. (E) 22.5m.
Answer: B
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 32 fail inspection? Answer Choice: (A) 72 (B) 192 (C) 200 (D) 128 (E) 264
Answer: D
A set S = {x, -8, -7, -6, 6, 8, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|? Answer Choice: (A) 1 (B) 0 (C) 2 (D) -1 (E) Cannot be determined
Answer: C
A part of certain sum of money is invested at 6% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is? Answer Choice: (A) 4:6 (B) 4:9 (C) 4:3 (D) 5:2 (E) 4:2
Answer: D
Look at this series: 1.2, 1.9, 2.6, 3.3, ... What number should come next? Answer Choice: (A) 3.8 (B) 4 (C) 4.7 (D) 5 (E) 5.6
Answer: B
Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 30 (E) 40
Answer: D
Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity R for the round trip? Answer Choice: (A) 24 miles per hour (B) 48 miles per hour (C) 50 miles per hour (D) 53 1/3 miles per hour (E) 68 miles per hour
Answer: B
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction? Answer Choice: (A) 33 1/7% (B) 33 8/3% (C) 33 1/3% (D) 36 1/3% (E) 31 1/3%
Answer: C
5 OUT OF 2250 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH Answer Choice: (A) 11/50 (B) 2/9 (C) 1/45 (D) 2/45 (E) NONE OF THESE
Answer: B
What is the area of a triangle with the following vertices L(1, 3), M(4, 1), and N(3, 5) ? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
Calculate the share of profit made by 2 business partners, who invested $1500 and $3500 respectively in a business if the profit made is $2500. Answer Choice: (A) $750,$1750 (B) $710,$1400 (C) $750,$1200 (D) $753,$1400 (E) $950,$1400
Answer: A
A towel, when bleached, lost 30% of its length and 20% of its breadth. What is the percentage decrease in area? Answer Choice: (A) 24% (B) 30 % (C) 44% (D) 54% (E) 64%
Answer: C
Find the perimeter and area of a square of side 11 cm. Answer Choice: (A) 11 cm² (B) 21 cm² (C) 22 cm² (D) 113 cm² (E) 121 cm²
Answer: E
Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced? Answer Choice: (A) 1/30 (B) 1/5 (C) 2/3 (D) 3/4 (E) 4/5
Answer: C
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 5 (E) 2
Answer: A
8 kilograms of oranges contained 98% of water. If the next day the concentration of water decreased by 2%, what was the new weight of the oranges, in kilograms? Answer Choice: (A)  4.9 (B)  4.8 (C)  4.5 (D)  4 (E)  0.2
Answer: D
It takes 7 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 7 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 5:00 pm? Answer Choice: (A) 5:40 pm (B) 6:00 pm (C) 6:20 pm (D) 6:40 pm (E) 7:00 pm
Answer: D
8 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place? Answer Choice: (A) 144 (B) 131 (C) 115 (D) 84 (E) 45
Answer: D
The sum of five consecutive odd numbers of set p is 435. What is the sum of five consecutive numbers of another set q. Whose largest number is 45 more than the largest number of set p? Answer Choice: (A) 530 (B) 670 (C) 730 (D) 770 (E) None of these
Answer: B
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days? Answer Choice: (A) 1/9 (B) 1/7 (C) 1/6 (D) 1/2 (E) 1/1
Answer: C
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1540 in all from both of them as interest. The rate of interest per annum is? Answer Choice: (A) 7% (B) 12% (C) 74% (D) 10% (E) 45%
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'COMPUTE' is ? Answer Choice: (A) 5040 (B) 5039 (C) 5041 (D) 5554 (E) 132
Answer: B
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is? Answer Choice: (A) s.36028 (B) s.36000 (C) s.36003 (D) s.36029 (E) s.24029
Answer: B
x - y =2
2x = 2y + 4
The system of equations above has how many solutions? Answer Choice: (A)  None (B)  Exactly one (C)  Exactly two (D)  Infinitely many (E)  Exactly three
Answer: D
In a ratio which is equal to 7:9, if the antecedent is 42, then the consequent is? Answer Choice: (A) 72 (B) 54 (C) 64 (D) 51 (E) 45
Answer: B
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 11 a.m (B) 10 a.m (C) 09 a.m (D) 08 a.m (E) 06 a.m
Answer: B
A triangle has a perimeter 15. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side? Answer Choice: (A) 7 (B) 6 (C) 8 (D) 9 (E) 10
Answer: B
A can do a work in 15 days and B in 20 days. If they work on it together for 2 days, then the fraction of the work that is left is : Answer Choice: (A) 23/20 (B) 5 (C) 23/30 (D) 23/12 (E) 2
Answer: C
A committee of three people is to be chosen from five married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee? Answer Choice: (A) 16 (B) 24 (C) 48 (D) 64 (E) 80
Answer: E
How many 4 digits number contain the number 2. Answer Choice: (A) 3170 (B) 3172 (C) 3174 (D) 3168 (E) 3167
Answer: D
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 30% (B) 59% (C) 57% (D) 64% (E) 69%
Answer: C
Given positive integer x, which of the following CANNOT be evenly divisible by x? Answer Choice: (A) 7x (B) x + 2 (C) 2x - 1/2 (D) 3x − 1 (E) x + 6
Answer: C
If an object travels 80 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet) Answer Choice: (A) 21.21 (B) 24.24 (C) 27.27 (D) 30.35 (E) 33.33
Answer: C
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 4/7 (B) 3/7 (C) 2/7 (D) 7/7 (E) 4/3
Answer: A
Consider a quarter of a circle of radius 49. Let r be the radius of the circle inscribed in this quarter of a circle. Find r. Answer Choice: (A) 49*(sqr2 -1) (B) 58*(sqr3 -1) (C) 40*(sqr7 - 1) (D) 12* (sqr7 -1) (E) None of these
Answer: A
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability G that the sum of the 2 numbers on the balls will be even? Answer Choice: (A) 25% (B) 37.5% (C) 50% (D) 62.5% (E) 75%
Answer: C
Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $17.20, how many discounted tickets did he buy? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: E
A and B can do a piece of work in 2 days. With the help of C they finish the work in 1 days. C alone can do that piece of work in? Answer Choice: (A) 1.5 DAYS (B) 4 DAYS (C) 3 DAYS (D) 1 DAY (E) 2 DAYS
Answer: E
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Answer Choice: (A) 8 hours (B) 10 hours (C) 12 hours (D) 24 hours (E) 25 hours
Answer: C
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum Q of the 3 greatest of these temperatures, in degrees Fahrenheit, could be Answer Choice: (A) 6x (B) Q=4x (C) Q=5x/3 (D) Q=3x/2 (E) 3x/5
Answer: B
Find the area of a parallelogram with base 21 cm and height 11 cm? Answer Choice: (A) 231 cm2 (B) 384 cm2 (C) 672 cm2 (D) 267 cm2 (E) 286 cm2
Answer: A
A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ? Answer Choice: (A) 100 (B) 104 (C) 108 (D) 112 (E) None of these
Answer: B
Ram professes to sell his goods at the cost price but he made use of 500 grms instead of a kg, what is the gain percent?
A. 11% Answer Choice: (A) 11 1/9% (B) 11 1/8% (C) 11 9/9% (D) 100% (E) 11 1/5%
Answer: D
Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank? Answer Choice: (A) 542 (B) 540 (C) 542 (D) 829 (E) 279
Answer: B
If x : y = 3 : 5, find the value of (2x + 4y) : (4x – y) Answer Choice: (A) 29:7 (B) 22:7 (C) 26:7 (D) 20:7 (E) 26:5
Answer: C
The average marks of 14 students was calculated as 71. But, it was discovered later that the marks of one student was taken as 42 instead of 56 and the marks of another student was wrongly taken as 74 while it was actually 32. If these corrections are now made then what is the average of the 14 students? Answer Choice: (A) 67 (B) 68 (C) 69 (D) 80 (E) 71
Answer: C
If s is the product of the integers from 40 to 50 inclusive, and if t is the product of the integers from 40 to 51 inclusive, what is 1/s + 1/t in terms of t? Answer Choice: (A) 32/t (B) 42/t (C) 52/t (D) 62/t (E) 72/t
Answer: C
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning? Answer Choice: (A) 258 (B) 288 (C) 248 (D) 278 (E) 238
Answer: B
19/6 = 4/27. Which method did you use to determine whether this proportion is true or false? Answer Choice: (A) 24 (B) 77 (C) 88 (D) 26 (E) 91
Answer: A
Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 253 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle? Answer Choice: (A) 903 (B) 2209 (C) 2878 (D) 1210 (E) 1560
Answer: A
2 gears one with 12 teeth and other one with 14 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact for the first time? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 2
Answer: A
A total of m different points are selected on a particular line, and a total of n different points are selected on another line parallel to the first, where each of m and n is greater than 1. In how many different ways can a triangle be made with its vertices at three of the selected points? Answer Choice: (A) m^2n+mn^2 (B) mn(m+n-2) (C) mn(m+n−2)/2 (D) (m+n)(m+n−1)(m+n−2)/6 (E) (m+n)!/m!n!
Answer: B
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is? Answer Choice: (A) 25/42 (B) 25/46 (C) 25/48 (D) 25/18 (E) 25/29
Answer: A
At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 5 years? Answer Choice: (A) 4 % (B) 3 6/7 % (C) 2 6/7 % (D) 5 % (E) 6 %
Answer: C
How many times the keys of a writter haveto be pressedin order to write first 400 counting no.'s? Answer Choice: (A) 998 (B) 1000 (C) 1092 times (D) 1100 (E) 1200
Answer: C
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Answer Choice: (A) 1/3 (B) 2/3 (C) 1/4 (D) 1/5 (E) 2/5
Answer: A
The average age of 25 students of a class is 25 years. Out of these, the average age of 10 students is 22 years and that of the other 14 students is 28 years. The age of the 25th student is? Answer Choice: (A) 10 (B) 15 (C) 13 (D) 11 (E) 9
Answer: C
A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 95, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined? Answer Choice: (A) 74 (B) 75 (C) 76 (D) 77 (E) 81
Answer: E
A train 280 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 15 (B) 6 (C) 7 (D) 9 (E) 5
Answer: A
How many integers between 324,805 and 458,705 have tens digit 1 and units digit 3? Answer Choice: (A) 1,349 (B) 1,353 (C) 10,040 (D) 1,354 (E) 10,400
Answer: A
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other? Answer Choice: (A) 11 (B) 10 (C) 12 (D) 13 (E) 14
Answer: B
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case. Answer Choice: (A) 366 (B) 236 (C) 367 (D) 365 (E) 386
Answer: E
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Answer Choice: (A) 8 (B) 4 (C) 3 (D) 2 (E) 6
Answer: B
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank? Answer Choice: (A) 76 hrs (B) 97 hrs (C) 35 hrs (D) 16 hrs (E) 12 hrs
Answer: C
If a positive even number n is not divisible by 3 or 4, then the product (n + 6)(n + 8)(n + 10) must be divisible by which of the following?
I. 24
II. 32
III. 96 Answer Choice: (A) None (B) I only (C) II only (D) I and II only (E) I, II, and III
Answer: E
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/10 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection? Answer Choice: (A) 36 (B) 60 (C) 108 (D) 144 (E) 300
Answer: E
Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "COW"? Answer Choice: (A) 120 (B) 123 (C) 126 (D) 129 (E) 132
Answer: B
The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.7,011 for a cell phone, then what was the cost price of the cell phone? Answer Choice: (A) Rs.5,845 (B) Rs.6,750 (C) Rs.5,700 (D) Rs.6,925 (E) None of these
Answer: C
A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to Answer Choice: (A) 1 : 5 (B) 1 : 25 (C) 1 : 125 (D) 1 : 625 (E) None
Answer: B
In a school of 650 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? Answer Choice: (A) 173 (B) 163 (C) 153 (D) 143 (E) 117
Answer: E