loafeihong/math_mmlu_format huggingface dataset:
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 6 is Answer Choice: (A) 3 (B) 7 (C) 21 (D) 189 (E) 198
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1234 (B) 1345 (C) 1450 (D) 1550 (E) 1635
Answer: E
xy+yz=63
xz+yz=23
find x+y+z ? Answer Choice: (A) 23 (B) 24 (C) 25 (D) 26 (E) 27
Answer: B
A train moves fast a telegraph post and a bridge 240 m long in 8 sec and 20 sec respectively. What is the speed of the train? Answer Choice: (A) 75 (B) 39 (C) 79 (D) 72 (E) 71
Answer: D
Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/3. Find the probability that both of them are selected. Answer Choice: (A) 2/69 (B) 2/20 (C) 2/18 (D) 2/29 (E) 2/15
Answer: E
Last summer, Roger worked x days at 2 hours/day at a job, and he was paid at a rate of r dollars per hour. For the whole summer, he earned $1000. This summer, he will work at another job that offers the same pay rate, r dollars per hour. This summer he will work H days at 5 hours/day, so that he will earn $4000 for the entire summer. In terms of x, which of the following equals H? Answer Choice: (A) x (B) 2x/3 (C) 2x (D) 4x/3 (E) 8x/5
Answer: E
Two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Answer Choice: (A) 22 (B) 12 (C) 77 (D) 10 (E) 21
Answer: D
Complete the series
13, 9, 5, 1, -3, -7, -11, -15, ... Answer Choice: (A) -4 (B) 0 (C) 3 (D) -2 (E) -19
Answer: E
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=z
III. 2/z T 2/z=1 Answer Choice: (A) a.) I (B) b.) I and II only (C) c) I and III only (D) d) II and III only (E) e) None of these
Answer: E
A courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is? Answer Choice: (A) 22877 (B) 27778 (C) 20000 (D) 22500 (E) 17799
Answer: D
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 8 min (B) 5 min (C) 10 min (D) 14 min (E) 15 min
Answer: C
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000? Answer Choice: (A) Rs. 5870 (B) Rs. 5991 (C) Rs. 6020 (D) Rs. 6850 (E) None of these
Answer: A
4,18,100,294,___ Answer Choice: (A) 1000 (B) 1100 (C) 1210 (D) 1452 (E) 1552
Answer: C
The sum of the numbers is 220. If the first number be twice the second and third number be one-third of the first, then the second number is: Answer Choice: (A) 48 (B) 54 (C) 72 (D) 60 (E) 27
Answer: D
A and B started a business investing Rs. 80,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively? Answer Choice: (A) 4:1 (B) 3:2 (C) 18:20 (D) 18:4 (E) 17:4
Answer: A
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day? Answer Choice: (A) 12 (B) 18 (C) 32 (D) 40 (E) 44
Answer: C
When n is divided by 24, the remainder is 4. What is the remainder when 4n is divided by 8? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 0 (E) 7
Answer: D
14, 28, 20, 40, 32, 64, ...? Answer Choice: (A) 10 (B) 25 (C) 56 (D) 21 (E) 36
Answer: C
A number 15B is divisible by 6. Which of these will be true about the positive integer B? Answer Choice: (A) B will be even (B) B will be Odd (C) B will be divisible by 6 (D) Both a & b (E) A, B and C
Answer: A
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 1.09 (B) 1.6 (C) 1.2 (D) 1.5 (E) 1.1
Answer: D
If 4 Men or 6 Women take 4 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please? Answer Choice: (A) 1. 3/2 days (B) 2. 4/9 Days (C) 3. 9/4 days (D) 4.5/2 days (E) 5.3 days
Answer: B
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely. Answer Choice: (A) Rs.2522 (B) Rs.2512 (C) Rs.2572 (D) Rs.2592 (E) None
Answer: A
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? Answer Choice: (A) 1 (B) 8 (C) 9 (D) 7 (E) 5
Answer: A
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 X watch all of the shows? Answer Choice: (A)  150 (B)  108 (C)  42 (D)  21 (E)  -21
Answer: D
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son? Answer Choice: (A) 25.7 years (B) 28 years (C) 29.3 years (D) 28.8 years (E) 30 years
Answer: D
At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table? Answer Choice: (A) 120 (B) 480 (C) 4040 (D) 2520 (E) 5040
Answer: C
X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 43 Km/hr. However, he covers the distance from Y to X at an average speed of 35 Km/hr. His average speed during the whole journey in km/hr. is : Answer Choice: (A) 34 (B) 43 (C) 40 (D) 38.6 (E) 29
Answer: D
A department store receives a shipment of 1,000 shirts, for which it pays Rs. 9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterwards. How much gross income did sales of the shirts generate? Answer Choice: (A) 10500 (B) 11500 (C) 12500 (D) 13500 (E) 14500
Answer: D
A box contains 8 pairs of shoes (16 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes? Answer Choice: (A) 1/190 (B) 1/20 (C) 1/19 (D) 1/10 (E) 1/15
Answer: E
A team of five basketball players has an average height of 280 cm. two players whose average height is 190 cm, left the team and two new others whose average height is 204 cm, joined. Calculate the new average height of the players(in cm) is? Answer Choice: (A) 317.6 cm (B) 417.6 cm (C) 214.6 cm (D) 217.6 cm (E) 117.6 cm
Answer: D
Local kennel has cats and dogs in the ratio of 6:12. If there are 24 fewer cats than dogs, how many dogs are in the kennel? Answer Choice: (A) 50 (B) 48 (C) 52 (D) 54 (E) 56
Answer: B
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ? Answer Choice: (A) 200 (B) 320 (C) 112 (D) 80 (E) 56
Answer: B
Find a sum for first 9 prime number'ss? Answer Choice: (A) 125 (B) 128 (C) 130 (D) 100 (E) 120
Answer: D
By selling a 50meters cloth one gain the selling price of 20meters. Find the gain percent? Answer Choice: (A) 50% (B) 100% (C) 75% (D) 25% (E) 90%
Answer: B
Patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 70 pencils is how many times the selling price of 70 pencils? Answer Choice: (A)  0.75 (B)  0.8 (C)  1 (D)  1.28 (E)  1.35
Answer: D
The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter? Answer Choice: (A) 3x (B) 4x (C) 6x (D) 12x (E) 27x
Answer: C
In a river flowing at 2 km/hr, a boat travels 64 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time. Answer Choice: (A) 10 hours (B) 12 hours (C) 14 hours (D) 24 hours (E) None of these
Answer: D
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If y ≠ 3 and 3q/y is a prime integer greater than 2, which of the following must be true?
I. q = y
II. y = 1
III. q 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 the xy-plane, the point (-2, -1) is the center of a circle. The point (1, -1) lies inside the circle and the point (-2, 4) lies outside the circle. If the radius r of the circle is an integer, then r = Answer Choice: (A) 6 (B) 5 (C) 4 (D) 3 (E) 2
Answer: C
Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3 ,1/6 , and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third? Answer Choice: (A) 1/18n (B) (n-1)/18n (C) 1/2n (D) (n+2)/2n (E) (3n-2)/2n
Answer: B
Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ? Answer Choice: (A) 7500 (B) 7502 (C) 7512 (D) 2988 (E) 7112
Answer: A
he ratio between the sale price and the cost price of an article is 3:1. What is the ratio between the profit and the cost price of that article? Answer Choice: (A) 2:1 (B) 2:9 (C) 2:4 (D) 2:1 (E) 2:5
Answer: A
Boy sells a book for Rs. 630 he gets a loss of 10 %, To gain 10%, what should be the SP? Answer Choice: (A) 430 (B) 450 (C) 550 (D) 770 (E) 660
Answer: D
What is the difference between the place values of two 1's in the numeral 135.21 Answer Choice: (A) 99.999 (B) 100.2 (C) 134 (D) 99.99 (E) 99.9
Answer: D
A company, Chauncy Co., has an annual travel budget of $57,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? Answer Choice: (A) $3,725 (B) $500 (C) $4,225 (D) $5,725 (E) $60,725
Answer: A
At what time between 2 and 3 o'clock will the hands of a clock be together? Answer Choice: (A) (10 + 10/11) min past 8 (B) (10 + 10/11) min past 2 (C) (10 + 10/11) min past 3 (D) (10 + 10/11) min past 1 (E) (10 + 10/11) min past 4
Answer: B
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time? Answer Choice: (A) 11 (B) 45 (C) 77 (D) 44 (E) 17
Answer: B
From 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer? Answer Choice: (A) 150 (B) 164 (C) 259 (D) 311 (E) 224
Answer: E
A taxi company costs $2.75 for the first quarter-mile and 12.5 cents for each additional quarter mile. What is the maximum distance you can travel with $6.50? Answer Choice: (A) 4 miles (B) 5 3/4 miles (C) 6 1/2 miles (D) 7 3/4 miles (E) 8 1/4 miles
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 660 m long? Answer Choice: (A) 22 (B) 90 (C) 277 (D) 278 (E) 291
Answer: B
Rajesh solved 80 per cent of the questions in an examination correctly. If out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions 5 questions have been solved by Rajesh correctly then find the total number of questions asked in the examination. Answer Choice: (A) 75 (B) 65 (C) 60 (D) Cannot be determined (E) None of these
Answer: B
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 8 more tea cups than hot chocolate cups, then how many rainy days were there last week? Answer Choice: (A) 2 (B) 4 (C) 3 (D) 5 (E) 6
Answer: B
Two trains of equal length 120 metres move in the same direction. The faster train completely
overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
taking would take in 10 seconds. At what speeds are the 2 trains moving ? Answer Choice: (A) 24,22 (B) 32,16 (C) 30,18 (D) 28,14 (E) None of these
Answer: B
How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 10 percent sugar solution? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 28 (E) 30
Answer: E
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 2: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other? Answer Choice: (A) 4: 45 p.m. (B) 5: 00 p.m. (C) 5: 20 p.m. (D) 4: 20 p.m. (E) 6: 00 p.m.
Answer: D
Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Answer Choice: (A) $ 145. (B) $ 146 (C) $ 147 (D) $ 155 (E) None
Answer: D
A = {0, 1, -3, 6, -8, -10}
B = {-1, 2, -4, 7, 6, -9}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab < 0? Answer Choice: (A) 1/4 (B) 1/3 (C) 5/13 (D) 5/12 (E) 1/2
Answer: D
How many integers between 0 and 1000 DO NOT contain the integer 1 Answer Choice: (A) 727 (B) 728 (C) 758 (D) 748 (E) 792
Answer: B
It takes John 10 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? Answer Choice: (A) 5:44 (B) 7:35 (C) 7 (D) 5 (E) 6
Answer: B
When 0.535353 ... is converted into a fraction, the result is Answer Choice: (A) 5/17 (B) 20/9 (C) 53/99 (D) 53/100 (E) None of these
Answer: C
In expressing a length 81.489 km as nearly as possible with three significant digits, find the percentage error? Answer Choice: (A) 0.075% (B) 0.156% (C) 0.013% (D) 0.048% (E) 0.152%
Answer: C
Find the odd man out 15, 25, 30, 34, 40, 65, 75. Answer Choice: (A) 15 (B) 34 (C) 50 (D) 75 (E) None of these.
Answer: B
Find the circumference and area of radius 13 cm. Answer Choice: (A) 124 cm² (B) 531 cm² (C) 354 cm² (D) 584 cm² (E) 594 cm²
Answer: B
Find 40 % of 240 Answer Choice: (A) 96 (B) 94 (C) 86 (D) 74 (E) 110
Answer: A
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 70 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? Answer Choice: (A) 15 (B) 20 (C) 40 (D) 42 (E) 68
Answer: D
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Answer Choice: (A) 228878 (B) 27771 (C) 28867 (D) 28,000 (E) 267781
Answer: D
On flipping 3 coins together what is the outcomes for at least three head and three tail? Answer Choice: (A) 1/7 (B) 2/8 (C) 3/11 (D) 4/13 (E) 5/13
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm. Answer Choice: (A) 276 (B) 209 (C) 285 (D) 267 (E) 123
Answer: C
John takes 6 hrs to print 32 pages. Peter takes 5hrs to print 40 pages. In how many hours they will print 110 pages together ? Answer Choice: (A) 7 hours 15 minutes (B) 8 hours 15 minutes (C) 9 hours (D) 10 hours 15 minutes (E) 11 hours 15 minutes
Answer: B
Convert 40miles into yards? Answer Choice: (A) 25630 yards (B) 35200 yards (C) 39520 yards (D) 42560 yards (E) 70400 yards
Answer: E
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 540 ? Answer Choice: (A) 249 (B) 498 (C) 676 (D) 269 (E) 1,002
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Answer Choice: (A) 288 metres (B) 557 metres (C) 887 metres (D) 150 metres (E) 123 metres
Answer: D
Which one of the following numbers is exactly divisible by 11? Answer Choice: (A) 235641 (B) 245642 (C) 315624 (D) 415624 (E) 415625
Answer: D
A boy wants to go abroad by boat and return by flight. He has a choice of 5 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 40 (E) 50
Answer: B
What is the average of first 21 multiples of 7 ? Answer Choice: (A) 55 (B) 66 (C) 77 (D) 88 (E) 99
Answer: C
The digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9, which is a square number. How many years during the twenty-first century have a square digital sum? Answer Choice: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17
Answer: D
If x=kc and y=kt,then y+x =? Answer Choice: (A) k(t+c) (B) k(c-t) (C) c(k-t) (D) t(k-c) (E) k(1-t)
Answer: A
Simplify: 997 x 997 Answer Choice: (A) 999991 (B) 994009 (C) 999994 (D) 997009 (E) 999009
Answer: B
If |r|=−r, which of the following must be true? Answer Choice: (A) x≥0 (B) r≤0 (C) x2>x (D) x3<0 (E) 2x<x
Answer: B
If the selling price of 80 articles is equal to the cost price of 40 articles, then the loss or gain percent is: Answer Choice: (A) 30% (B) 35% (C) 50% (D) 55% (E) 40%
Answer: C
The measures of the 2 acute angles of a triangle are in the ratio of 1 : 8. What arethe measures of the 2 angles? Answer Choice: (A) 20° (B) 80° (C) 110° (D) 120° (E) 140°
Answer: B
For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/8 + 8^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is Answer Choice: (A) 1/3 (B) 1/5 (C) 1/6 (D) 1/7 (E) 1/8
Answer: A
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value R of 100th term? Answer Choice: (A) 126 (B) 192 (C) 232 (D) 252 (E) 342
Answer: E
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 46 instead of 96 then find the correct average marks up to two decimal places. Answer Choice: (A) 73.41 (B) 74.31 (C) 73.42 (D) 73.43 (E) Cannot be determined
Answer: C
If x is an even integer, then which of the following is a true statement? Answer Choice: (A) x is a prime number (B) (x2 + 4) is an even integer (C) x is a Composite number (D) (x2 - 1) is an even integer (E) None of these
Answer: B
Each of five different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned? Answer Choice: (A) 1/8 (B) 1/6 (C) 1/4 (D) 3/8 (E) 1/25
Answer: E
If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? Answer Choice: (A) 118 km (B) 162 km (C) 1767 km (D) 1887 km (E) 405 km
Answer: E
A grocery store recently raised the price of flour by 25% over the original price. If the owner then had a sale advertising 10% off, what would be the sale price if the original price was $20? Answer Choice: (A)  $21.00 (B)  $21.50 (C)  $22.00 (D)  $22.50 (E)  $23.00
Answer: D
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part? Answer Choice: (A) 27 (B) 28 (C) 31 (D) 35 (E) 46
Answer: C
A train passes a man standing on the platform. If the train is 140 meters long and its speed is 72 kmph, how much time it took in doing so? Answer Choice: (A) 6 Â½ sec (B) 6 Â½ sec (C) 9 Â½ sec (D) 7 sec (E) 7 Â½ sec
Answer: D
The average of five results is 45 and that of the first four is 45. The fifth result is? Answer Choice: (A) 45 (B) 88 (C) 77 (D) 66 (E) 51
Answer: A
Priya bought a fish last week. She was going to measure it but realized that her ruler was not long enough. She was able to measure the head and discovered that it was 12cm long; she then measured the tail and found that it was the length of the head plus one third of the length of the body. If the body was the length of the head plus the tail, what is the total length of the fish? Answer Choice: (A) 58 (B) 45 (C) 72 (D) 63 (E) 36
Answer: C
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate? Answer Choice: (A) 7 1/2 years (B) 20 years (C) 15 years (D) 38 years (E) 30 years
Answer: B
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 O’clock, the true time is – Answer Choice: (A) 4 p.m. (B) 59 7⁄12 minutes past 3 (C) 58 7⁄11 minutes past 3 (D) 2 3⁄11 minutes past 4 (E) None of these
Answer: A
15 beavers, working together in a constant pace, can build a dam in 4 hours. How many hours will it take 20 beavers that work at the same pace, to build the same dam? Answer Choice: (A) 2. (B) 4. (C) 5. (D) 6 (E) 3.
Answer: E
A boy and a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected? Answer Choice: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 (E) 5/9
Answer: B
5!/(5-3)!=? Answer Choice: (A) 36 (B) 46 (C) 56 (D) 59 (E) 60
Answer: E
A seven-digit phone number is divisible by 8. After adding the two digits of the area code the number is not divisible by 8, which of the following cannot be the area code? Answer Choice: (A) 07. (B) 05. (C) 08. (D) 04. (E) 02.
Answer: C
A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of rth generation, where the initial number of eggs with man are considered as the eggs of first generation. Answer Choice: (A) rnk (B) rnk (C) nkr (D) nrk (E) None of these
Answer: D
How many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: B
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers? Answer Choice: (A) -33 (B) 33 (C) 35 (D) 36 (E) -35
Answer: A