loafeihong/math_mmlu_format huggingface dataset:
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/4 the number of cans that Karen collected and 1/9 the number of cans that Luke collected. The number of cans that Karen collected was what fraction of the total number of cans that John, Karen, and Luke collected? Answer Choice: (A)  1/5 (B)  1/3 (C)  2/5 (D)  1/2 (E)  1/9
Answer: E
the cost of a tv is rs.2400 which is 20% below the marked price.If it is sold at a discount of 16% on the marked price,then find its marked price,selling price and profit ? Answer Choice: (A) 2520,120 (B) 2520,110 (C) 2520,130 (D) 2420,120 (E) 2620,120
Answer: A
If A father said to his elder son, "I was as old as you are at the present at the time of your birth". If the father's age is 25 years now, what was the son's age four years back? Answer Choice: (A) 7.5 (B) 8.5 (C) 9 (D) 9.5 (E) 10
Answer: B
The equation r = 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 r = -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
SECTION-1 If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days? Answer Choice: (A) 22 (B) 99 (C) 787 (D) 66 (E) 11
Answer: B
A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 650 m long? Answer Choice: (A) 28 sec (B) 89 sec (C) 85 sec (D) 16 sec (E) 95 sec
Answer: E
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.30 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? Answer Choice: (A) 160 (B) 175 (C) 180 (D) 200 (E) 210
Answer: C
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence? Answer Choice: (A) 55 years (B) 44 years (C) 33 years (D) Data inadequate (E) None of these
Answer: D
if xy+z=x(y+z) which of the following must be true? Answer Choice: (A) x=2 or z=0 (B) x=1 or z=0 (C) x=1 or z=1 (D) x=0 or z=0 (E) x=0 or z=0
Answer: B
How much time will it take for an amount of Rs. 400 to yield Rs. 100 as interest at 5% per annum of simple interest? Answer Choice: (A) 5 years (B) 4 years (C) 7 years (D) 6 years (E) 2 years
Answer: A
In a certain country 1/3 of 4 = 8. Assuming the same proportion, what would be the value of 1/8 of 4 ? Answer Choice: (A) 2 (B) 6 (C) 5 (D) 4 (E) 3
Answer: E
A man spends Rs. 1700 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income? Answer Choice: (A) 2025 (B) 2125 (C) 2225 (D) 2325 (E) 2425
Answer: B
Peter rolls two dice at the same time. What is the probability that he will not roll a double? Answer Choice: (A) a) 1/12 (B) b) 1/36 (C) c) 1/6 (D) d) 1/6 (E) e) 5/6
Answer: E
Length of a rectangular plot is 50 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Answer Choice: (A) 46 m (B) 60 m (C) 58 m (D) 75 m (E) 80 m
Answer: D
The simple interest on a sum in 2 years is Rs. 96 and the compound interest on the same sum for the sametime is Rs. 99. Find the sum and the rate. Answer Choice: (A) 3.25% (B) 5.25% (C) 6.25% (D) 4.25% (E) 7.25%
Answer: C
The no of revolutions a wheel of diameter 40cm makes in traveling a distance of 176m is Answer Choice: (A) 122 (B) 140 (C) 287 (D) 128 (E) 112
Answer: B
A and B can do a work in 6 days.They both started the work and after three days A left the work.B finished the remaining work in 15 days.In how many days will A finish the work? Answer Choice: (A) 7 days (B) 7.5 days (C) 8.5 days (D) 9.5 days (E) 6.5 days
Answer: B
Rs.1600 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%? Answer Choice: (A) 1100 (B) 1200 (C) 1300 (D) 1400 (E) 1700
Answer: A
A pharmaceutical company received $4 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales? Answer Choice: (A) 8% (B) 15% (C) 45% (D) 52% (E) 58%
Answer: E
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 10 and 12. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 322 (D) 345 (E) 395
Answer: A
How many ways can 7 friends be arranged around a circular dinner table? Answer Choice: (A) 120 (B) 720 (C) 3280 (D) 5040 (E) 5660
Answer: B
A bat is bought for Rs.400 and sold at a gain of 30% find its selling price. Answer Choice: (A) A)Rs.460/- (B) B)Rs.470/- (C) C)Rs.480/- (D) D)Rs.500/- (E) E)Rs.520/-
Answer: E
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 9 p.c? Answer Choice: (A) 36400 (B) 29000 (C) 37000 (D) 38000 (E) 40000
Answer: A
Think of a number, divide it by 5 and add 8 to it. The result is 61. What is the number thought of? Answer Choice: (A) 24 (B) 77 (C) 297 (D) 265 (E) 29
Answer: D
At what price must an article costing Rs.51.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 60.5 (B) 69.5 (C) 67.5 (D) 67.7 (E) 22.5
Answer: D
If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent? Answer Choice: (A) 5.9 % increase (B) 5.6 % increase (C) 4.6 % increase (D) 1.6 % increase (E) 5.7 % increase
Answer: B
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Answer Choice: (A) 7.19 (B) 7.17 (C) 7.19 (D) 7.15 (E) 7.11
Answer: D
Reena took a loan of 1500 with simple interest for as many years as the rate of interest. If she paid 735 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 7 (C) 18 (D) Cannot be determined (E) None
Answer: B
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations? Answer Choice: (A)  $27,500 (B)  $35,000 (C)  $37,500 (D)  $40,000 (E)  $50,000
Answer: D
If 20% of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together . Answer Choice: (A) 11 1/9 (B) 10 1/9 (C) 12 (D) 15 (E) Source: TIME material.
Answer: A
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $55,000? Answer Choice: (A) $38,796. (B) $40,000. (C) $38,976. (D) $39,679. (E) $53,592.
Answer: E
The integer n is formed by writing the integers 1 through 333 in order as shown below.
n=123456789101112.......331332333
counting from the left, what is the 333rd digit of n? Answer Choice: (A) 0 (B) 1 (C) 3 (D) 7 (E) 8
Answer: D
Four friends, Peter, John, Quincy, and Andrew, are pooling their money to buy a $1600 item. Peter has twice as much money as John. Quincy has $40 more than Peter. Andrew has 10% more than Quincy. If they put all their money together and spend the $1600, they will have $14 left. How much money does Peter have? Answer Choice: (A) $400 (B) $560 (C) $425 (D) $380 (E) $455
Answer: C
Health insurance Plan P requires the insured person to pay $600 but then the insurance pays 80% of the cost over $600. Plan Q requires the insured to pay the initial $400, but then pays 60% of the cost over $400. Which of the following is a cost level for which both insurance plans pay out the same amount? Answer Choice: (A) $1000 (B) $1100 (C) $1200 (D) $1300 (E) $1400
Answer: C
Calculate the percentage gain if a trader bought a bicycle for Rs.440 and sold it for Rs.610? Answer Choice: (A) 38.64% (B) 39.64% (C) 31.64% (D) 35.64% (E) 34.64%
Answer: A
A ladder 22 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 7 feet from the base of the wall. If the top of the ladder slips down 3 feet, how many feet will the bottom of the ladder slip? Answer Choice: (A) 12.86 (B) 15 (C) 18 (D) 19 (E) 25
Answer: A
A circular mat with diameter 14 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 5/12 (B) 2/5 (C) 1/5 (D) 3/4 (E) 5/6
Answer: C
Which part of an atom has no electrical charge? Answer Choice: (A) q1 (B) 22 (C) 72 (D) 27 (E) 28
Answer: B
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Answer Choice: (A) Rs. 2400 (B) Rs. 2200 (C) Rs. 2300 (D) Rs. 2500 (E) Rs. 2600
Answer: A
A company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L? Answer Choice: (A) 15% (B) 25% (C) 35% (D) 65% (E) 74%
Answer: E
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 5. The numbers are Answer Choice: (A) 12, 24, 30 (B) 12, 24, 38 (C) 12, 24, 362 (D) 5, 10, 15 (E) 12, 24, 321
Answer: D
In how many no. between 10 and 40 exactly Two of the digits is 4? Answer Choice: (A) 10 (B) 15 (C) 35 (D) 1 (E) 45
Answer: D
From given equation find the value of x: 2x² + 9x − 5 Answer Choice: (A) 1 (B) 1/2 (C) 1/3 (D) 2/3 (E) 2/5
Answer: B
A garrison of 2000 men has provisions for 40 days. At the end of 20 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. What is the reinforcement? Answer Choice: (A) 1888 (B) 2766 (C) 2999 (D) 2000 (E) 1712
Answer: D
What is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1? Answer Choice: (A) 60 (B) 70 (C) 80 (D) 90 (E) 100
Answer: C
P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 4), the remainder is also D. If P/Q = 1020.75 and P/(Q + 4) = 816.6, then which of the following gives the correct set of {D, Q}? Answer Choice: (A) {6, 12} (B) {6, 15} (C) {12, 16} (D) {9, 15} (E) {15, 24}
Answer: C
A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance T between the two cities? Answer Choice: (A) 48 (B) 72 (C) 96 (D) 120 (E) 192
Answer: E
The H.C.F. of two numbers is 12 and their L.C.M. is 520. If one of the numbers is 480, then the other is: Answer Choice: (A) 13 (B) 18 (C) 21 (D) 24 (E) 38
Answer: A
Rahul went to a shop and bought things worth Rs. 25, out of which 36 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 19 (B) 18.7 (C) 19.9 (D) 21.7 (E) 22.8
Answer: B
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 3% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year? Answer Choice: (A) 4 : 11 (B) 5 : 4 (C) 2 : 3 (D) Data inadequate (E) None of these
Answer: A
Find 3486/189 Answer Choice: (A) 18.44 (B) 18.48 (C) 18.42 (D) 18.49 (E) 18.41
Answer: A
If you write down all the numbers from 1 to 50, then how many times do you write 3 ? Answer Choice: (A) A)11 (B) B)15 (C) C)20 (D) D)21 (E) E)22
Answer: B
Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 500 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is : Answer Choice: (A) 15.502% (B) 25.7014% (C) 12.502% (D) 21.7014% (E) none
Answer: D
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 1 year would be Answer Choice: (A) (1.5)^4 (B) 4(1.5) (C) (1.05) (D) 1 + (0.05)^4 (E) 1 + 4(0.05)
Answer: C
x, y, and z are positive integers. The average (arithmetic mean) of x, y, and z is 11. If z is two greater than x, which of the following must be true?
I. x is even
II. y is odd
III. z is odd Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I and III only
Answer: B
If you write down all the numbers from 1 to 100, then how many times do you write 1 ? Answer Choice: (A) A)11 (B) B)18 (C) C)20 (D) D)21 (E) E)22
Answer: D
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B? Answer Choice: (A) 41 (B) 42 (C) 43 (D) 44 (E) 45
Answer: D
Of the three-digit integers greater than 800, how many have two digits that are equal to each other and the remaining digit different from the other two? Answer Choice: (A)  90 (B)  82 (C)  80 (D)  45 (E)  36
Answer: B
The measurement of a rectangular box with lid is 25cmx18cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere) Answer Choice: (A) 288 (B) 48 (C) 72 (D) 972 (E) 964
Answer: D
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 6 (B) 9 (C) 4 (D) 5 (E) 2
Answer: A
The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 36. Find their present ages. Answer Choice: (A) 20,35,45 (B) 8,20,28 (C) 16,28,36 (D) 12,21,27 (E) None of these
Answer: D
A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently ten spaces behind player B, what is the probability that player B will be frozen after player A rolls? Answer Choice: (A) 1/12 (B) 5/36 (C) 1/6 (D) 1/3 (E) 17/36
Answer: A
The average mark of the students of a class in a particular exam is 70. If 5 students whose average mark in that exam is 50 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam? Answer Choice: (A) 20 (B) 15 (C) 10 (D) 12 (E) 25
Answer: C
A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge? Answer Choice: (A) Rs. 105 and Rs. 6 (B) Rs. 216 and Rs. 12 (C) Rs. 210 and Rs. 12 (D) Rs. 210 and Rs. 6 (E) None
Answer: D
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 12%, then the cost price of the article is: Answer Choice: (A) 280 (B) 579 (C) 500 (D) 400 (E) 100
Answer: C
Find the fourth proportional to 2.9, 4.6 and 7.6? Answer Choice: (A) 12.05 (B) 13.5 (C) 15.23 (D) 15.34 (E) 16
Answer: A
Given the equation e = f/4 + g/4^2 + h/4^3, where f, g, and h are each equal to 1 or 0, then e could be any of the values below EXCEPT: Answer Choice: (A) 1/16 (B) 10/32 (C) 1/8 (D) 17/64 (E) 1/64
Answer: C
A & B THROW A DICE ALTERNATIVELY TILL ONE OF THEM GETS A '6' AND WINS THE GAME. WHAT WILL BE A PROBABILITY? Answer Choice: (A) 4/11 (B) 5/11 (C) 6/11 (D) 7/11 (E) 8/11
Answer: C
60% of the registered candidates in an election are from congress and 40% of the registered candidates are from BJP. If 3/4th of the registered Congress candidates and 1/5 of the registered BJP candidates fight election. What is the percentage of people fighting elections? Answer Choice: (A) 34% (B) 43% (C) 53% (D) 54% (E) 56%
Answer: C
If 20 men can build a water fountain 56 metres long in 42 days, what length of a similar water fountain can be built by 35 men in 3 days? Answer Choice: (A) 3 m (B) 4 m (C) 7 m (D) 9 m (E) 10 m
Answer: C
In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 10 and 400, then the least and greatest integer on the card would be Answer Choice: (A) 3 and 15 (B) 3 and 20 (C) 4 and 13 (D) 4 and 14 (E) 5 and 14
Answer: B
If you have 6 black socks, 4 blue socks, 8 brown socks, and 2 red socks in your sock drawer, what is the minimum number of socks that you need to pull out in the dark to be sure you had a matching pair? Answer Choice: (A) 5 (B) 7 (C) 8 (D) 9 (E) 2
Answer: A
The difference between a number and its two-fifth is 510. What is 10% of that number ? Answer Choice: (A) 33 (B) 85 (C) 37 (D) 27 (E) 28
Answer: B
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 25 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks? Answer Choice: (A) 1/4 (B) 9/14 (C) 1/2 (D) 7/8 (E) 8/7
Answer: C
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Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 9 days. In how many days Peter complete the work separately. Answer Choice: (A) 26 days (B) 27.5 days (C) 22.5 days (D) 25.35 days (E) 24 days
Answer: C
N be a number,the 2,3 and 5 base notations u get last digit is 1.and two out of three the leading digit is 1. N is equal to Answer Choice: (A) 31 (B) 63 (C) 74 (D) 91 (E) 98
Answer: D
Vid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Vid have meant to type? Answer Choice: (A) 10 (B) 16 (C) 21 (D) 24 (E) 27
Answer: C
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 12% profit. He gains 10 % on the whole. Find how much is sold at 7% profit? Answer Choice: (A) 70 lbs (B) 40 lbs (C) 30 lbs (D) 50 lbs (E) 60 lbs
Answer: B
Express 22 mps in kmph? Answer Choice: (A) 79.2 kmph (B) 89.2 kmph (C) 79.6 kmph (D) 99.2 kmph (E) 69.2 kmph
Answer: A
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum V of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ? Answer Choice: (A)  5 (B)  7 (C)  9 (D)  10 (E)  14
Answer: D
What percent of 9.6 kg is 28 gms ? Answer Choice: (A) 25 (B) 66 (C) 288 (D) 29 (E) 17
Answer: D
the cost of manufacturing a popular model car is made up of three items:cost of raw material,labour and overheads- in a year the cost of three items were in the ration of 4:3:2.next year the cost of the raw material rose by 10% ,labour cost increased by 8% but overhead reduced by 5%.then %increase int the price of the car ? Answer Choice: (A) 7.67% (B) 6% (C) 0.54% (D) 9.54% (E) 8.54%
Answer: B
Average expenditure of a person for the first 3 days of a week is Rs. 350 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is: Answer Choice: (A) 350 (B) 370 (C) 390 (D) 430 (E) None
Answer: C
If a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 13 (E) 26
Answer: D
A standard Veggiematik machine can chop 35 carrots in 5 minutes. How many carrots can 3 standard Veggiematik machines chop in 3 minutes? Answer Choice: (A) 63 (B) 87 (C) 90 (D) 98 (E) 112
Answer: A
The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $12.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker? Answer Choice: (A) 14 (B) 15 (C) 16 (D) 28 (E) 29
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 296 m (B) 267 m (C) 297 m (D) 150 m (E) 255 m
Answer: D
In how many ways can 4 men & 3 women can be made from a gang of 7 men & 8 women ? Answer Choice: (A) 91 (B) 94 (C) 89 (D) 10 (E) 19
Answer: A
Patrick has three daughters named Avery, Bridget, & Catherine. He decides he wants to make a 3-letter password using the a combination of the each of their first initials (e.g. ABC, CBA, etc.). How many different permutations can he come up with? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 8 (E) 11
Answer: C
At exactly what time past 8:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time? Answer Choice: (A) 20 13/21 minutes past 8:00 (B) 20 13/17 minutes past 7:00 (C) 21 3/23 minutes past 7:00 (D) 21 9/11 minutes past 7:00 (E) 22 4/9 minutes past 7:00
Answer: A
What is the 26th digit to the right of the decimal point in the decimal form of 6/11? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 3 type B widgets, and the weight of 5 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget? Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5 (E) 5:6
Answer: E
If x is divisible by 2, 7, and 11, which of the following must also be a divisor of x? Answer Choice: (A) 308 (B) 154 (C) 70 (D) 44 (E) 21
Answer: B
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is Answer Choice: (A) 3.496 kg (B) 3.696 kg (C) 3.690 kg (D) 9.696 kg (E) 3.296 kg
Answer: B
In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a
shelf so that two books on Hindi may not be together? Answer Choice: (A) 1240 (B) 1280 (C) 1340 (D) 1440 (E) 1540
Answer: E
A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job? Answer Choice: (A) 98 days (B) 21 days (C) 17 days (D) 18 days (E) 19 days
Answer: B