loafeihong/math_mmlu_format huggingface dataset:
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages? Answer Choice: (A) 48 years (B) 65 years (C) 87 years (D) 20 years (E) 26 years
Answer: A
A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full? Answer Choice: (A) 17 (B) 16 (C) 70 (D) 36 (E) 12
Answer: D
Tommo spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tommo won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day? Answer Choice: (A) 330 (B) 500 (C) 520 (D) 540 (E) 620
Answer: C
Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 4w widgets? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 24 (E) 12
Answer: D
A bus moving at a speed of 45 km/hr. overtakes a truck 150 metres ahead going in the same directions in 30 seconds. The speed of the truck is Answer Choice: (A) 27km/hr (B) 24km/hr (C) 25km/hr (D) 28km/hr (E) None of these
Answer: A
In triangle PQR, the angle Q = 90 degree, PQ =3 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Answer Choice: (A) 3.6 cm (B) 2.4 cm (C) 4.8 cm (D) 2.16 cm (E) 3.2 cm
Answer: B
The original price of a suit is $200. The price increased 25%, and after this increase, the store published a 25% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 25% off the increased price, how much did these consumers pay for the suit? Answer Choice: (A) $178.50 (B) $182.50 (C) $185.50 (D) $187.50 (E) $200
Answer: D
In Town X, 64 percent of the population are employed, and 55 percent of the population are employed males. What percent of the employed people in Town X are females? Answer Choice: (A) 14% (B) 25% (C) 32% (D) 40% (E) 52%
Answer: A
If the integer N = 139,k50 where k is the hundreds digit, N can NEVER be divisible by which of the following? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 9
Answer: C
A bike owner buys petrol at Rs 75, Rs. 80 and Rs. 85 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 40000 each year? Answer Choice: (A) Rs 79.8 (B) Rs 80.4 (C) Rs 85.5 (D) Rs 90 (E) Rs 60
Answer: A
The equation a = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at a = -5, the equation for l is Answer Choice: (A) + y + 15 = 0 (B) - 3x - 11 = 0 (C) + y - 16.5 = 0 (D) - y - 7 = 0 (E) + y + 13.5 = 0
Answer: C
The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination Answer Choice: (A) 15 years (B) 16 years (C) 14 years 8 month (D) 16 years 2 month (E) 19 years 8 month
Answer: C
What should come next in the following letter sequence?
A A B A B C A B C D A B C D E A B C D Answer Choice: (A) T (B) E (C) H (D) F (E) V
Answer: B
Find the value of (55 + 113/78) × 78 Answer Choice: (A) 4423 (B) 4403 (C) 4413 (D) 2403 (E) 4375
Answer: B
3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) 7
Answer: A
If n is a prime number, which of the following could be true Answer Choice: (A) n^n=n (B) n^n/4 = 1^(n-1) (C) (n)(n^n) = is negative (D) n^2+n^3= n^5 (E) n^2/4= is even
Answer: B
The vertex of a parallelogram are (1, 0), (3, 0), (1, 1) and (3, 1) respectively. If line L passes through the origin and divided the parallelogram into two identical quadrilaterals, what is the slope of line L? Answer Choice: (A) . 1/2 (B) 2 (C) 1/4 (D) 3 (E) 3/4
Answer: C
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? Answer Choice: (A) 288 (B) 162 (C) 189 (D) 168 (E) 122
Answer: C
For positive integers n, the integer part of the nth term of sequence D equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, D_1 = 1.2345678…, while D_2 = 2.4681012… The sum of the first seven terms of sequence D is between: Answer Choice: (A) 28 and 29 (B) 29 and 30 (C) 30 and 31 (D) 31 and 32 (E) 32 and 33
Answer: C
An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of Answer Choice: (A) 580 Kmph (B) 550 Kmph (C) 540 Kmph (D) 530 Kmph (E) 520 kmph
Answer: C
price of apple mobile is double than samsung and triple than oppo.the mean off all three phone's price is 25000.what is price of samsung. Answer Choice: (A) 21,200.20 (B) 22,000 (C) 20,454.54 (D) 23,300.33 (E) 24,000
Answer: C
The area of a triangle is with base 4m and height 5m? Answer Choice: (A) 76 m2 (B) 10 m2 (C) 27 m2 (D) 18 m2 (E) 17 m2
Answer: B
an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -w and a*w=0, then w=? Answer Choice: (A) a) -a (B) b) -1/a (C) c) 1/a (D) d)0 (E) e)a
Answer: E
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 520 kms in 4 hours, then the speed of the first train is: Answer Choice: (A) 89.25 km/hr. (B) 37.25 km/hr. (C) 90.25 km/hr. (D) 113.75 km/hr. (E) 96.25 km/hr.
Answer: D
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents Z watch all of the shows? Answer Choice: (A)  150 (B)  108 (C)  42 (D)  21 (E)  -21
Answer: D
If a and b are both negative and ab < b^2, which of the following must be true? Answer Choice: (A) a < b < a^2 < b^2 (B) a < b < b^2 < a^2 (C) b < a < a^2 < b^2 (D) a^2 < b^2 < b < a (E) b^2 < a^2 < b < a
Answer: C
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 17%, then the cost price of the article is: Answer Choice: (A) 500 (B) 334 (C) 555 (D) 664 (E) 526
Answer: E
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now? Answer Choice: (A) 12.9 (B) 12.0 (C) 12.5 (D) 12.2 (E) 12.1
Answer: C
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is: Answer Choice: (A) 29 (B) 37 (C) 54 (D) 42 (E) 60
Answer: D
The average age of students of a class is 15.7 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? Answer Choice: (A) 3:7 (B) 7:3 (C) 2:5 (D) 2:1 (E) 2:4
Answer: A
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 731 more than 4times the middle integer. Find the numbers? Answer Choice: (A) 650 (B) 731 (C) 698 (D) 710 (E) 729
Answer: B
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c? Answer Choice: (A) 27 (B) 26 (C) 25 (D) 24 (E) 23
Answer: A
All of the stocks on the over-the-counter market are designated by either a 5-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? Answer Choice: (A) 2(26^5) (B) 26(26^4) (C) 27(26^4) (D) 26(26^5) (E) 27(26^5)
Answer: A
A pineapple costs Rs 9 each and a watermelon costs Rs. 6 each. If I spend Rs 51 on total what is the number of pineapple I purchased? Answer Choice: (A) 6 (B) 7 (C) 5 (D) 3 (E) 2
Answer: C
Find the odd man out
3, 7, 15, 27, 63, 127, 255 Answer Choice: (A) 7 (B) 15 (C) 27 (D) 63 (E) 54
Answer: C
How many possible ways can 4 girls (Rebecca, Kate, Ashley) go on a date with 4 boys (Peter, Kyle, Sam)? Answer Choice: (A)  3 (B)  4 (C)  5 (D)  6 (E)  24
Answer: E
The least number, which when divided by 12, 31, 20 and 54 leaves in each case a remainder of 8 is: Answer Choice: (A) 448 (B) 488 (C) 16748 (D) 548 (E) 560
Answer: C
One out of every 100 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment? Answer Choice: (A) 2,000 (B) 5,000 (C) 10,000 (D) 50,000 (E) 52,000
Answer: C
If a job is complete by a and b in z days,b and c in x days and a and c in y days. In how many days that a,b and c can be work simultaneously? Answer Choice: (A) 2(xyz/xy+yz+xz) (B) xyz/xy+yz+xz (C) (xy+yz+xz)/xyz (D) cannot be determined (E) 2(xy+yz+xz)/xyz
Answer: A
A plane flies 660 km with the wind and 540 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air? Answer Choice: (A) 160 km/h (B) 180 km/h (C) 200 km/h (D) 220 km/h (E) 240 km/h
Answer: C
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 2 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold? Answer Choice: (A) 480 (B) 240 (C) 289 (D) 270 (E) 927
Answer: B
A man sells a horse for Rs.1400 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 2270 (B) 2990 (C) 1540 (D) 8600 (E) 7710
Answer: C
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? Answer Choice: (A) 176 (B) 500 (C) 278 (D) 270 (E) 279
Answer: B
A train running at the speed of 90 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 298 m (B) 225 m (C) 208 m (D) 988 m (E) 299 m
Answer: B
What is the probability of having 53 Fridays in an ordinary year Answer Choice: (A) 1/5 (B) 1/6 (C) 1/7 (D) 1/8 (E) 1/9
Answer: C
Two girls started running simultaneously around a circular track of length 1200 m from the same point at speeds of 30 km/hr and 50 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Answer Choice: (A) 50 (B) 51 (C) 52 (D) 53 (E) 54
Answer: E
Two whole numbers whose sum is 72 cannot be in the ratio Answer Choice: (A) 3 : 4 (B) 3 : 5 (C) 4 : 5 (D) 5 : 7 (E) None
Answer: A
What is the are of an equilateral triangle of side 16 cm? Answer Choice: (A) 66√3 cm2 (B) 74√3 cm2 (C) 64√3 cm2 (D) 64√5 cm2 (E) 14√3 cm2
Answer: D
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) 22 (B) 88 (C) 27 (D) 40 (E) 11
Answer: C
3/8 of 168 * 15 / 5 + X = 549 / 9 + 275 Answer Choice: (A) 147 (B) 149 (C) 268 (D) 2696 (E) 2976
Answer: A
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive? Answer Choice: (A) 2.5 (B) 3.00 (C) 3.25 (D) 3.75 (E) 4.0
Answer: C
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION? Answer Choice: (A) 4! x 9! (B) 4! x 2! (C) 4! x 5! (D) 4! x 6! (E) 7! x 9!
Answer: C
The average of first 6 prime numbers is? Answer Choice: (A) 10.11 (B) 11.11 (C) 12.11 (D) 6.83 (E) 14.11
Answer: D
A train passes a station platform in 50 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 177 m (B) 176 m (C) 450 m (D) 187 m (E) 186 m
Answer: C
X, Y and Z can do a work in 6 , 9 and 10 days respectively. They completed the work and got Rs.775. What is the share of Y? Answer Choice: (A) 250 (B) 240 (C) 260 (D) 230 (E) 245
Answer: A
If six persons sit in a row, then the probability that three particular persons are always together is? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/5 (D) 1/1 (E) 1/2
Answer: C
A certain bus driver is paid a regular rate of $18 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week? Answer Choice: (A) 36 (B) 40 (C) 44 (D) 48 (E) 52
Answer: D
In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was: Answer Choice: (A) 8 (B) 7 (C) 10 (D) 12 (E) 14
Answer: A
Calculate the cost of e yards of cloth given that the cost of f yards of said cloth is g rupees? Answer Choice: (A) Rs.(e*f) (B) Rs.(g*f) (C) Rs.(eg/f) (D) Rs.(g/f) (E) Rs.(e/f)
Answer: C
Calculate the area of a triangle, if the sides are 13 cm, 12 cm and 5 cm, what is its area? Answer Choice: (A) 36 cm2 (B) 35 cm2 (C) 30 cm2 (D) 32 cm2 (E) 31 cm2
Answer: C
There are 100 students in a class. If 14% are absent on a particular day, find the number of students present in the class. Answer Choice: (A) 43 (B) 36 (C) 86 (D) 129 (E) 11
Answer: C
If x/6 and x/15 are integers, then x must be divisible by - Answer Choice: (A) 12 (B) 18 (C) 30 (D) 45 (E) 60
Answer: C
If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 140 units? Answer Choice: (A) 50 hours (B) 40 hours (C) 17.5 hours (D) 12 hours (E) 8 hours
Answer: C
In shop contains 500 articles each of a cost of $10. He sold them at a price of $16. If the shop keeper has a order of 200 articles, how much profit he will get? Answer Choice: (A) A)200 (B) B)2000 (C) C)1500 (D) D)1200 (E) E)600
Answer: D
There are 50 people in a certain community who belong to the local golf club, tennis club or both clubs. If 1 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) 17 (D) 4) 21 (E) 5) 27
Answer: A
A customer pays 65 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker? Answer Choice: (A) A)$50 (B) B)$60 (C) C)$70 (D) D)$85 (E) E)$90
Answer: D
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Answer Choice: (A) 1642 (B) 1640 (C) 1632 (D) 2789 (E) 6386
Answer: B
The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.62. what is the average of the remaining two number ? Answer Choice: (A) 4.5 (B) 4.6 (C) 4.7 (D) 4.83 (E) None of these
Answer: D
A began business with Rs.27000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1? Answer Choice: (A) 9 (B) 6 (C) 7 (D) 8 (E) 2
Answer: A
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 6w widgets. Answer Choice: (A) 4 (B) 36 (C) 8 (D) 10 (E) 12
Answer: B
james works in a bakery. He made cookies that cost $2 and made $200. How many customer did he have? Answer Choice: (A) 200 customers (B) 85 customers (C) 250 customers (D) 100customers (E) 170 customers
Answer: D
The product of a and b is equal to 11 more than twice the sum of a and b. If b = 7, what is the value of b - a? Answer Choice: (A) 2 (B) 5 (C) 7 (D) 24 (E) 35
Answer: A
In year Y imported machine tools accounted for 20 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? Answer Choice: (A) 15x (B) 13x (C) 12.5x (D) 14x (E) 14.5x
Answer: C
In how many ways can the integer 84 be expressed as a product of two different positive integers? Answer Choice: (A) 10 (B) 8 (C) 5 (D) 4 (E) 2
Answer: D
In measuring the sides of a rectangle, one side is taken 8% in excess, and the other 7% in deficit. Find the error percent in the area calculated from these measurements. Answer Choice: (A) 0.11% (B) 0.7% (C) 0.44% (D) 0.6% (E) 0.8%
Answer: C
__2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4.6, what is the value of C? Answer Choice: (A) 6 (B) 5.2 (C) 4 (D) 3 (E) 2
Answer: B
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Answer Choice: (A) 6 cm (B) 4 cm (C) 8 cm (D) 3 cm (E) 9 cm
Answer: E
A train 420 m long, running with a speed of 63 km/hr will pass a tree in? Answer Choice: (A) 36 sec (B) 16 sec (C) 17 sec (D) 88 sec (E) 12 sec
Answer: A
If a square mirror has a 20-inch diagonal, what is the approximate perimeter T of the mirror, in inches? Answer Choice: (A)  40 (B)  60 (C)  80 (D)  100 (E)  120
Answer: B
In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ? Answer Choice: (A) 35 (B) 39 (C) 48 (D) 50 (E) 52
Answer: C
A certain company had a total annual expenditure of 1.89∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary? Answer Choice: (A) $20,000 (B) $25,000 (C) $35,000 (D) $40,000 (E) $45,000
Answer: E
Which of the following must be an integer if the integer x is divisible by both 18 and 24? Answer Choice: (A) x/252 (B) x/189 (C) x/126 (D) x/108 (E) x/72
Answer: E
Factory X's bulbs work for over 5000 hours in 78% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 90% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? Answer Choice: (A) 76.4% (B) 76.7% (C) 77.4% (D) 75% (E) 73.9%
Answer: B
Positive Integer A gives the remainder of 32 when divided by another positive Integer B. If A/B = 147.64, what is the value of B? Answer Choice: (A) 96 (B) 75 (C) 48 (D) 50 (E) 12
Answer: D
There are three motor's are available in the office,namely P,Q,& R.Its power consumption is different.Ratio of the power consumption of 3 different motor's 3:4:5.Total power consumption of 3 motor's are 1250 units.Then find out the power consumption of motor R? Answer Choice: (A) 655.50 UNITS (B) 258.54 UNITS (C) 566.29 UNITS (D) 520.84 UNITS (E) 634.25 UNITS
Answer: D
There is a total of 90 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/3 and the probability that it will be green is 1/5. What is the probability that the marble will be either red or blue? Answer Choice: (A) 1/3 (B) 3/5 (C) 7/15 (D) 11/30 (E) 17/30
Answer: C
A can finish a work in 18days and B can do the same work in half the time taken by A. Then, working together what part of the same work they can finish in a day? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/6 (D) 2/5 (E) 2/9
Answer: C
The perimeter of one face of a cube is 24 cm. Its volume will be: Answer Choice: (A) 216cm3 (B) 400cm3 (C) 250cm3 (D) 625cm3 (E) None of these
Answer: A
There is a single elimination checkers tournament, meaning when one player loses, they are out of the tournament. There are 50 players in the tournament, how many games are played? Answer Choice: (A) 49 (B) 25 (C) 20 (D) 10 (E) 5
Answer: A
7 people sit at the round table. In how many ways can we sit them so that Bob and Bill don't sit opposing each other? Answer Choice: (A) A)400 (B) B)420 (C) C)440 (D) D)460 (E) E)480
Answer: E
Ram professes to sell his goods at the cost price but he made use of 850 grms instead of a kg, what is the gain percent?
A. 11% Answer Choice: (A) 11 1/9% (B) 11 1/8% (C) 17.65% (D) 11 5/9% (E) 11 1/5%
Answer: C
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Answer Choice: (A) 8% (B) 7% (C) 10% (D) 12% (E) 4%
Answer: E
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 8th Rd and 7th Ave in the shortest possible time, how many different routes could he take? Answer Choice: (A) 150 (B) 180 (C) 210 (D) 240 (E) 270
Answer: C
A tailor trims 4 feet from opposite edges of a square piece of cloth, and 3 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth? Answer Choice: (A) 18 (B) 20 (C) 24 (D) 26 (E) 40
Answer: A
62467 × 9998 = ? Answer Choice: (A) 624545037 (B) 627745452 (C) 624545077 (D) 624545066 (E) 625454211
Answer: D
A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are Answer Choice: (A) 25 km/h and 40 km/h, respectively (B) 25 km/h and 60 km/h, respectively (C) 25 km/h and 50 km/h, respectively (D) 25 km/h and 70 km/h, respectively (E) None of these
Answer: C
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3r/y is a prime integer greater than 2, which of the following must be true?
I. r = y
II. y = 1
III. r and y are prime integers. Answer Choice: (A)  None (B)  I only (C)  II only (D)  III only (E)  I and III
Answer: A
In May Mrs Lee's earnings were 90 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) 92 (B) 35 (C) 64 (D) 46 (E) 355
Answer: A
Find the sum The difference between the compound and S.I. on a certain sum of money for 5 years at 50% per annum is Rs.200 of money? Answer Choice: (A) 1256 (B) 2000 (C) 3600 (D) 8400 (E) 4566
Answer: B
Three carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if two of the carpenters work together at their respective rates ? Answer Choice: (A) 11/15 (B) 3/5 (C) 11/30 (D) 47/90 (E) 5/9
Answer: D
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent? Answer Choice: (A) Rs. 45 (B) Rs. 50 (C) Rs. 55 (D) Rs. 60 (E) Rs. 40
Answer: A
Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 1/2 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N? Answer Choice: (A) 2/5 (B) 1/3 (C) 4/13 (D) 8/29 (E) 6/33
Answer: A