loafeihong/math_mmlu_format huggingface dataset:
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 20-percent solution? Answer Choice: (A) 45 (B) 33 1/3 (C) 27 (D) 16 2/3 (E) 15
Answer: A
By selling 50 meters of dress. I gain the selling price of 15 meters. Find the gain percent? Answer Choice: (A) 52 6/9% (B) 45 8/7% (C) 42 6/7% (D) 12 8/3% (E) 56 6/7%
Answer: C
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys? Answer Choice: (A) 384 (B) 127 (C) 276 (D) 998 (E) 267
Answer: A
√{(8.2)(10^9)} is closest to which of the following? Answer Choice: (A) 6,000 (B) 12,000 (C) 30,000 (D) 50,000 (E) 90,000
Answer: E
A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is? Answer Choice: (A) 126 (B) 121 (C) 165 (D) 134 (E) 123
Answer: B
If 9 is added to thrice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 7 and 10 is added to the product. What is the number? Answer Choice: (A) -7 (B) -8 (C) -9 (D) -10 (E) -11
Answer: E
At a company, the average wage of male employees is $6 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7.5 per hour, what is the ratio of the number of male employees to the number of female employees? Answer Choice: (A) 1 to 3 (B) 2 to 3 (C) 3 to 2 (D) 5 to 3 (E) 2 to 1
Answer: A
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? Answer Choice: (A) 11 (B) 40 (C) 66 (D) 55 (E) 44
Answer: B
Find the odd pair of numbers
1) 55 - 42
2) 69 - 56
3) 48 - 34
4) 95 - 82
5) 45 - 32 Answer Choice: (A) 55-42 (B) 69-56 (C) 48-34 (D) 95-82 (E) 45-32
Answer: C
An article costing rs.160 is sold at 20% discount on a mark-up price. What is the selling price after
discount? Answer Choice: (A) 106 (B) 116 (C) 128 (D) 136 (E) 146
Answer: C
Evaluate: 37 - 18÷3×2 = Answer Choice: (A) 20 (B) 25 (C) 27 (D) 22 (E) 17
Answer: B
Three dice are thrown together, Find the probability of getting a total of 5? Answer Choice: (A) 1/2 (B) 1/5 (C) 3/8 (D) 3/14 (E) 1/36
Answer: E
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school? Answer Choice: (A) 25 (B) 20 (C) 30 (D) 35 (E) 40
Answer: A
If xy > 0, 1/x + 1/y = 6, and 1/xy = 5, then (x+y)/6 = ? Answer Choice: (A) 1/25 (B) 1/6 (C) 1/5 (D) 5 (E) 6
Answer: C
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(12) + 2; g(12) + 3; g(12) + 4; and g(12) + 5? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) none
Answer: E
A man sells a house for Rs.5,00,000 and loses something, if he had sold it for Rs.6,00,000, his gain would have been trible the former loss. Find the cost price of the horse? Answer Choice: (A) 5,50,000 (B) 5,25,000 (C) 5,20,000 (D) 5,02,000 (E) 6,00,200
Answer: D
Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 2. Which of the following operations would decrease the standard deviation of Set J? Answer Choice: (A) Divide each term by 2.2 (B) Divide each term by b/c (C) Multiply each term by −1 (D) Divide each term by d/e (E) Multiply each term by c
Answer: A
Alan bought 180 packets of chocolate. He was able to sell 1/3 of them at a 5% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by Alan after selling those 150 packets. A packet sold at a loss had a price of $9.
It's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!! Answer Choice: (A) 0 (B) Profit of $20 (C) Loss of $25 (D) Profit of $30 (E) Loss of $30
Answer: E
Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 0 through 8 appears in one of these three integers, what is the minimum possible value of the sum of a, b, and c? Answer Choice: (A) 45 (B) 666 (C) 711 (D) 801 (E) 1368
Answer: C
what is sum of fist 10 prime numbers? Answer Choice: (A) 128 (B) 129 (C) 117 (D) 123 (E) 121
Answer: B
Rahim bought 65 books for Rs.6500 from one shop and 35 books for Rs.2000 from another. What is the average price he paid per book ? Answer Choice: (A) 80 (B) 138 (C) 100 (D) 129 (E) 85
Answer: E
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born? Answer Choice: (A) 32 yrs, 23 yrs (B) 32 yrs, 29 yrs (C) 35 yrs, 29 yrs (D) 35 yrs, 33 yrs (E) none
Answer: A
Jane and Thomas are among the 8 people from which a committee of 3 people is to be selected. How many different possible committees of 3 people can be selected from these 8 people if at least one of either Jane or Thomas is to be selected? Answer Choice: (A) 24 (B) 28 (C) 32 (D) 36 (E) 40
Answer: D
An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 8. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares? Answer Choice: (A) s 1200 (B) s 1500 (C) s 1600 (D) s 1900 (E) s 1700
Answer: B
If (1+k)l=l, which of the following must be true? Answer Choice: (A) k=-1 or l=0 (B) k=0 or l=0 (C) k=1 or l=1 (D) k=-1 or l=-1 (E) k=0 or l=1
Answer: B
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area T of that hemisphere? Answer Choice: (A)  6/π (B)  9/π (C)  6 (D)  9 (E)  12
Answer: D
A group of 4 investment bankers and 5 clients recently frequented the Bonbon Ribs Restaurant. The total bill for the meal, including 20% gratuity, came to $756. On average, how much did the meal of each individual cost before gratuity? Answer Choice: (A) $160 (B) $70 (C) $90 (D) $80 (E) $55
Answer: B
Two water pumps, working simultaneously at their respective constant rates, took exactly six hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate? Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16
Answer: B
A boat having a length 4 m and breadth 3 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is: Answer Choice: (A) 12 kg (B) 120 kg (C) 72 kg (D) 96 kg (E) None of these
Answer: B
A sum of money lent out at S.I. amounts to Rs. 850 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is? Answer Choice: (A) s.440 (B) s. 500 (C) s. 540 (D) s. 782 (E) s. 840
Answer: D
When Robert discontinued his retainer-ship contract with a Pvt Company, management held his fees Rs. 15000/- for one month. Earlier Robert had taken an advance fees of 7280/- from company. But Robert forget that. After one month Robert asked his fees and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert? Answer Choice: (A) A)9500 (B) B)12500 (C) C)10780 (D) D)10500 (E) E)8600
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) 2 (B) 4 (C) 5 (D) 67 (E) 8
Answer: B
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 146 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 1 (E) 5
Answer: D
Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that all three cards are hearts? (Answer in lowest terms). Answer Choice: (A) 11/850 (B) 1/4 (C) 1/16 (D) 1/107 (E) 20/21
Answer: A
If a/b = 1/2, then the numerical value of which of the following expressions cannot be determined? Answer Choice: (A) 2a/b (B) (a + b)/a (C) (a + 1)/(b + 1) (D) (a - 3b)/(a + b) (E) 6a – 3b
Answer: C
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students? Answer Choice: (A) 14 years (B) 17 years (C) 19 years (D) 21 years (E) None
Answer: C
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Answer Choice: (A) 10 lr (B) 9 lr (C) 12 lr (D) 13 lr (E) 15 lr
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) 1/2 (C) 1/5 (D) 1/2 (E) 1/1
Answer: C
A car that moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. Find the length of journey. Answer Choice: (A) 189 km (B) 225 km (C) 255 km (D) 199 km (E) None
Answer: B
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn? Answer Choice: (A) 1/3 (B) 1/30 (C) 1/10 (D) 1/45 (E) 1/60
Answer: E
Find the number of square tiles to cover the floor of a room measuring 3.5 m * 12.5 m leaving 0.25 m space around the room. A side of square tile is given to be 60 cms? Answer Choice: (A) 36 (B) 100 (C) 36 (D) 1000 (E) 212
Answer: B
A boat can travel 1.8 times the distance down the stream than up the stream in the same time. If the speed of the current is 3 KMPH, Find the speed of the boat in still water Answer Choice: (A) 5 (B) 10.5 (C) 15 (D) 20 (E) 25
Answer: B
Average of all prime numbers between 30 to 45 Answer Choice: (A) 38 (B) 37.8 (C) 39 (D) 39.8 (E) 40
Answer: A
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 18 days, A finished the remaining work. In how many days A alone can finish the job? Answer Choice: (A) 10 (B) 24 (C) 60 (D) 30 (E) 20
Answer: B
There are 20cm, 21cm, 22cm,23cm, 24cm,25cm rods of quantities 2,3,6,4,3,2 respectively. Find average of this data. Answer Choice: (A) 32.25 (B) 21.45 (C) 45 (D) 22.45 (E) 22
Answer: D
A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %. Answer Choice: (A) 7% (B) 4% (C) 5% (D) 9% (E) 8%
Answer: B
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of? Answer Choice: (A) 6:8 (B) 6:9 (C) 6:5 (D) 6:2 (E) 6:3
Answer: C
Ramesh start a bike at 1pm. and rides it at 50kmph. Mahesh started at 2pm with his car at 70kmph. When will Mahesh overtake Ramesh? Answer Choice: (A) 4:30 (B) 5:10 (C) 3:00 (D) 6:10 (E) 5:30
Answer: A
When the integer k is divided by 7, the remainder is 3. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 7
II. 6k + 1
III. 8k + 5 Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II and III
Answer: D
Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $229 Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder? Answer Choice: (A) 199 (B) 200 (C) 28 (D) 12 (E) 25
Answer: A
The population of a small beach town on Australia's east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1? Answer Choice: (A) 50% (B) 90% (C) 100% (D) 200% (E) 225%
Answer: C
If 5a + 7b = m, where a and b are positive integers, what is the largest possible value of m for which exactly one pair of integers (a, b) makes the equation true? Answer Choice: (A) 35 (B) 48 (C) 69 (D) 70 (E) 74
Answer: D
The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then Answer Choice: (A) x = y + z (B) 2x = y + z (C) 3x = 2y - 2z (D) 3x = 9y - 2z (E) 3x = 2y - 1z
Answer: B
n the given series, you can find a set of numbers. Of course, there is a particular pattern that has been followed here with every progressing set.
Find the pattern and complete the series.
(2 + 6), (21 + 6), (58 + 6), (119 + 6), ___ Answer Choice: (A) 215 (B) 216 (C) 217 (D) 218 (E) none
Answer: B
How many different positive integers exist between 10^6 and 10^7, the sum of whose digits is equal to 2? Answer Choice: (A) 6 (B) 7 (C) 5 (D) 8 (E) 18
Answer: B
A tailor trims 7 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 45 square feet of cloth remain, what was the length of a side of the original piece of cloth? Answer Choice: (A) 13 (B) 15 (C) 17 (D) 19 (E) 21
Answer: D
If z is not equal to zero, and z=6zs−9s2−−−−−−−−√z=6zs−9s2, then z equals: Answer Choice: (A) s (B) 3s (C) 4s (D) -3s (E) -4s
Answer: B
9, 12, 11, 14, 13, ?, 15 Answer Choice: (A) 12 (B) 16 (C) 15 (D) 17 (E) 10
Answer: B
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [7]*[4] equivalent to? Answer Choice: (A) [28] (B) [84] (C) [42] (D) [48] (E) [14]
Answer: B
A 6 litre sol is 25% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ? Answer Choice: (A) A.0.6 (B) B.1 (C) C.2.1 (D) D.3 (E) E.5.4
Answer: D
How many digits 2^300 has? Answer Choice: (A) 31 (B) 35 (C) 50 (D) 91 (E) 101
Answer: D
6 wires are by average 80 cm long each. If the average length of one third of the wires is 70 cm, what is the average of the other wires? Answer Choice: (A) 75. (B) 85. (C) 90. (D) 94. (E) 100.
Answer: B
Three numbers are in the ratio 4 : 5 : 6 and their average is 36 . The largest number is: Answer Choice: (A) 28 (B) 32 (C) 43.2 (D) 42 (E) 45
Answer: C
If A and B together can finish a work in 16 days.A can finish same work alone in 24 days then B alone can finish same work alone in how many days? Answer Choice: (A) 30 days (B) 48 days (C) 40 days (D) 36 days (E) 50 days
Answer: B
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is: Answer Choice: (A) 90 cm (B) 1 dm (C) 1 m (D) 1.1 cm (E) None of these
Answer: B
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) 20 seconds (B) 27 seconds (C) 30 seconds (D) 40 seconds (E) 50 seconds
Answer: D
In an examination, 40% of total students failed in Hindi, 40% failed in English and 15% in both. The percentage of these who passed in both the subjects is : Answer Choice: (A) 10% (B) 20% (C) 30% (D) 40% (E) 50%
Answer: C
The speed of a car is 60 km in the first hour and 30 km in the second hour. What is the average speed of the car? Answer Choice: (A) 45 kmph (B) 65 kmph (C) 75 kmph (D) 85 kmph (E) 90 kmph
Answer: A
K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 15
Answer: E
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 96 Θ 33 ) Θ 17 ) - ( 94 Θ (33 Θ 17)) ? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: D
An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 9. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares? Answer Choice: (A) s 1800 (B) s 1500 (C) s 1600 (D) s 1900 (E) s 1700
Answer: A
The length of a rectangular floor is more than its breadth by 200%. If Rs. 100 is required to paint the floor at the rate of Rs. 2 per sq m, then what would be the length of the floor? Answer Choice: (A) 12.25 (B) 44 (C) 18 (D) 16 (E) 14
Answer: A
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children? Answer Choice: (A) 630 (B) 1260 (C) 2520 (D) 3780 (E) 5040
Answer: C
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time? Answer Choice: (A) 1/8 (B) 1/4 (C) 1/16 (D) 1/2 (E) 1/32
Answer: A
The length of the longest rod that can fit in a cubical room of 4 m side is? Answer Choice: (A) 100% (B) 108% (C) 120% (D) 110% (E) 101%
Answer: A
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400? Answer Choice: (A) 2998 (B) 1900 (C) 2788 (D) 2662 (E) 1122
Answer: B
In the coordinate plane, points (x, 2) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y = Answer Choice: (A)  4.5 (B)  7 (C)  9 (D)  11 (E)  12
Answer: C
Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage X. Answer Choice: (A) 16.8% (B) 17.4% (C) 17.9% (D) 18.5% (E) 19.1%
Answer: B
Leo has an average price of Rs.57 on every item in his shopping cart. At the last minute he decided to get rid of apple juice worth Rs. 80 and get orange juice worth Rs. 60. If his shopping cart has 4 items, what is his new average? Answer Choice: (A) 48 (B) 52 (C) 56 (D) 57 (E) 60
Answer: B
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Answer Choice: (A) 2356 (B) 3467 (C) 4567 (D) 5189 (E) 5184
Answer: E
If in the word 'DISTURBANCE', the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, which letter would come after the letter T in the newly formed word ? Answer Choice: (A) S (B) C (C) T (D) R (E) U
Answer: A
A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and
finally travels 5km towards the east, how far is he from his starting place? Answer Choice: (A) 5.5 kms (B) 3 km (C) 13 km (D) 6.4 km (E) 7.4 km
Answer: B
Company A imported 10,500 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported? Answer Choice: (A) 480 (B) 840 (C) 1050 (D) 420 (E) 2100
Answer: D
What is the characteristic of the logarithm of 0.0000134? Answer Choice: (A) 5 (B) -5 (C) 6 (D) -6 (E) 7
Answer: B
A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable? Answer Choice: (A) 98% (B) 93% (C) 91% (D) 90% (E) 88%
Answer: B
Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 6 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD? Answer Choice: (A) 396 (B) 1260 (C) 825 (D) 7920 (E) 15840
Answer: C
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? Answer Choice: (A) 110 (B) 140 (C) 250 (D) 987 (E) 165
Answer: E
Two clocks were set right at noon on Sunday. One gains 2 min and the other loses 3 min in 24 hours. What will be the true time when the first clock indicates 3 pm on Wednesday? Answer Choice: (A) 2 : 38 pm (B) 2 : 54 pm (C) 2 : 23 pm (D) 2 : 48 pm (E) None of these
Answer: B
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars? Answer Choice: (A) 320$ (B) 380$ (C) 420$ (D) 450$ (E) 411$
Answer: E
Find the value of m 72519 x 9999 = m? Answer Choice: (A) 724533811 (B) 353654655 (C) 545463251 (D) 725117481 (E) 477899932
Answer: D
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 25 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale? Answer Choice: (A) 22% (B) 24% (C) 25% (D) 27% (E) 28%
Answer: A
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? Answer Choice: (A) 54000 (B) 50400 (C) 40500 (D) 45000 (E) None of them
Answer: B
The diagonals of a rhombus are 12 cm and 20 cm. Find its area? Answer Choice: (A) 176 (B) 186 (C) 120 (D) 179 (E) 172
Answer: C
99,997^2 - 3^2 = Answer Choice: (A) 10^10 - 2 (B) (10^5 – 2)^2 (C) 10^4(10^5 – 2) (D) 10^5(10^5 – 6) (E) 10^5(10^5 – 2)
Answer: D
The average of first 10 prime numbers is? Answer Choice: (A) 10.11 (B) 12.9 (C) 12.11 (D) 13.11 (E) 14.11
Answer: B
Set A contains four different positive odd integers and six different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even? Answer Choice: (A) 3/5 (B) 4/5 (C) 17/25 (D) 21/25 (E) 43/50
Answer: D
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Answer Choice: (A) 150 m (B) 165 m (C) 155 m (D) 160 m (E) 170 m
Answer: A
The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 216 metres, what is its area? Answer Choice: (A) 1325 sq.metres (B) 1260 sq.metres (C) 2835 sq.metres (D) 3380 sq.metres (E) None of these
Answer: C
A boy was asked to find 7/9 of x. But he divided the x by 7/9, Thus he got 32more thanthe answer. Find the x. Answer Choice: (A) 43 (B) 45 (C) 59 (D) 63 (E) 65
Answer: D
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 20 inches. Find b. Answer Choice: (A) 8 (B) 16 (C) 4 (D) 32 (E) 48
Answer: C
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C? Answer Choice: (A) (2, 25) (B) (4, -15) (C) (3, -24) (D) (-2, 16) (E) (-6, -12)
Answer: B