loafeihong/math_mmlu_format huggingface dataset:
The ratio between the number of sheep and the number of horses at the Stewar farm is 5 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form?? Answer Choice: (A) 18 (B) 28 (C) 40 (D) 56 (E) 58
Answer: C
Tomy's age 22 years hence will be thrice his age four years ago. Find Tomy's present age? Answer Choice: (A) 12 years (B) 13 years (C) 15 years (D) 17 years (E) 18 years
Answer: D
The maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : Answer Choice: (A) 1 (B) 10 (C) 11 (D) 19 (E) None of these
Answer: A
If w = 9/25, c = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order? Answer Choice: (A) c, m, w (B) c, w, m (C) m, w, c (D) w, c, m (E) w, m, c
Answer: C
Which of the following expressions are different in value?
(A) (2x + 3y)2
(B) (2x + y)2 + 8y(x + y)
(C) (2x – y)2 – 8y(x + y)
(D) 22(x + y)2 + 4xy + 5y2 Answer Choice: (A) A and B (B) B and C only (C) A, B and D only (D) B and D only (E) All are different
Answer: B
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) 488 (B) 200 (C) 289 (D) 150 metre (E) 822
Answer: D
Machine A can finish a job in 4 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 8 hours. How many hours will it take for A, B, and С together to finish the job? Answer Choice: (A) 15/4 (B) 18/7 (C) 21/8 (D) 24/11 (E) 28/13
Answer: D
In Kaya's teacher's desk there are 4 pink highlighters, 2 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all? Answer Choice: (A) 11 (B) 22 (C) 77 (D) 33 (E) 88
Answer: A
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *4 + 3 and *4 + 4, inclusive? Answer Choice: (A)  None (B)  One (C)  Two (D)  Three (E)  Four
Answer: A
On a partly cloudy day, milton decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him? Answer Choice: (A) 1/5 (B) 1/6 (C) 1/4 (D) 1/7 (E) 1/3
Answer: D
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 4 miles? Answer Choice: (A) 12/5 (B) 12/3 (C) 12/4 (D) 12/6 (E) 12/2
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answer Choice: (A) 66 (B) 77 (C) 88 (D) 50 (E) 33
Answer: D
The average monthly salary of 24 employees in an organisation is Rs. 2400. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary? Answer Choice: (A) Rs.3601 (B) Rs.3618 (C) Rs.4900 (D) Rs.3619 (E) Rs.3610
Answer: C
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 8 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Answer Choice: (A) 19:1 (B) 19:4 (C) 19:8 (D) 38:10 (E) 38:2
Answer: D
Each child has 2 pencils and 13 Skittles. If there are 8 children, how many pencils are there in total? Answer Choice: (A) 16 (B) 12 (C) 18 (D) 22 (E) 08
Answer: A
The product Z of two prime numbers is between 10 and 30 . If one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 6 but less than 24, then what is Z? Answer Choice: (A) 21 (B) 15 (C) 14 (D) 10 (E) 6
Answer: A
In the class of 50 students, 30 speak Tamil and 40 speak Telugu. What is the lowest possible number of students who
speak both the languages? Answer Choice: (A) A)8 (B) B)10 (C) C)20 (D) D)30 (E) E)32
Answer: C
Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
In a 300 member association consisting of men and women, exactly 80% of men and exactly 15% women are homeowners. What is the least number of members who are homeowners? Answer Choice: (A) 46 (B) 47 (C) 48 (D) 49 (E) 50
Answer: A
The sum of three consecutive odd natural numbers, each divisible by 3 is 78. What is the largest among them? Answer Choice: (A) 21 (B) 24 (C) 29 (D) 36 (E) 45
Answer: C
The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of R is: Answer Choice: (A) 5100 (B) 4900 (C) 9400 (D) 1500 (E) 3200
Answer: C
A person crosses a 720 m long street in 12 minutes. What is his speed in km per hour? Answer Choice: (A) 3.6 (B) 4.5 (C) 4.8 (D) 5.4 (E) 5.5
Answer: A
A person want to give his money of $900 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share? Answer Choice: (A) $400 (B) $300 (C) $500 (D) $180 (E) $200
Answer: B
FAG, GAF, HAI, IAH, ____ Answer Choice: (A) SIK (B) IKP (C) PLE (D) JAK (E) EWR
Answer: D
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 200 m (B) 225 m (C) 245 m (D) 250 m (E) 260 m
Answer: C
It takes Jim two hours to wash the car and it takes Julia one hour to wash the car. Working together, how many minutes will it take them to wash the car? Answer Choice: (A) 36 (B) 38 (C) 40 (D) 42 (E) 44
Answer: C
If the cost price is 96% of selling price then what is the profit percentage. Answer Choice: (A) 7.14 (B) 7.41 (C) 4.71 (D) 4.17 (E) None of them
Answer: D
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 2500 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ? Answer Choice: (A) 2160 (B) 2350 (C) 2000 (D) 2300 (E) None of these
Answer: C
The least number which should be added to 6320 so that the sum is exactly divisible by 4, 6, 7 and 9 is: Answer Choice: (A) 112 (B) 212 (C) 252 (D) 239 (E) 232
Answer: E
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $4.20 and the price of commodity Y was $6.30. In which year will the price of commodity X be 65 cents more than the price of commodity Y? Answer Choice: (A) 2010 (B) 2011 (C) 2012 (D) 2013 (E) 2014
Answer: C
How long does a train 120 m long running at the speed of 70 km/hr takes to cross a bridge 150 m length? Answer Choice: (A) 12.7 sec (B) 13.9 sec (C) 18.1 sec (D) 17.1 sec (E) 19.7 sec
Answer: B
When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 39 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile? Answer Choice: (A) 5 minutes, 17.6 seconds (B) 6 minutes, 10.4 seconds (C) 5 minutes, 43.56 seconds (D) 5 minutes, 44.44 seconds (E) 5 minutes, 21.8 seconds
Answer: B
Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements W are possible? Answer Choice: (A)  30 (B)  60 (C)  90 (D)  180 (E)  540
Answer: C
1+2+2^2=？ Answer Choice: (A) (2^3-1)(2^3+1) (B) 2^6+1 (C) 2^5-1 (D) 2^5+1 (E) 2^3-1
Answer: E
There are three piles of books A,B and C having 3,4,5 books respectively.These books have to be picked up and put in a shelf one by one.How many possible sequence can be formed in the shelf if a book can be picked only from top of any pile? Answer Choice: (A) 12! (B) 3!*4!*5! (C) 12C3*9C4 (D) 12^12 (E) 12^14
Answer: D
If a train, travelling at a speed of 120 kmph, crosses a pole in 6 sec, then the length of train is? Answer Choice: (A) 281 (B) 125 (C) 200 (D) 266 (E) 121
Answer: C
3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament? Answer Choice: (A) 10 (B) 11 (C) 8 (D) 9 (E) 5
Answer: A
What is the remainder when 43^87 is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? Answer Choice: (A) 72.8 litres (B) 72.9 litres (C) 74.9 litres (D) 72.4 litres (E) 72.7 litres
Answer: B
Convert the 13/36 m/s into kilometers per hour? Answer Choice: (A) 1.7 (B) 1.5 (C) 1.3 (D) 1.1 (E) 1.2
Answer: C
Two letters from the word MYANTKAR are selected at random. What is the probability that at least one of the selected letters is a consonant? Answer Choice: (A) 27/28 (B) 25/28 (C) 29/28 (D) 32/28 (E) 42/28
Answer: A
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? Answer Choice: (A) 20:15:17 (B) 20:15:19 (C) 20:15:12 (D) 20:15:18 (E) 20:15:23
Answer: C
At the rate of 6%p.a SI, a sum of Rs. 2500 will earn how much interest by the end of 5 years? Answer Choice: (A) 750 (B) 650 (C) 250 (D) 980 (E) 950
Answer: A
If n is a prime number greater than 5, what is the remainder when n^2 is divided by 23? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5
Answer: D
If the compound interest on a certain sum for 2 years in Rs. 80.80 and the simple interest Rs. 80; then the rate of interest per annum is Answer Choice: (A) 2% (B) 1% (C) 3% (D) 4% (E) 5%
Answer: A
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? Answer Choice: (A) 63 (B) 93 (C) 103 (D) 83 (E) 135
Answer: A
A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train? Answer Choice: (A) 79.0 (B) 79.2 (C) 79.5 (D) 79.7 (E) 79.6
Answer: B
Find the remainder when 10,000 is divided by 84 Answer Choice: (A) 4 (B) 1 (C) 6 (D) 7 (E) 8
Answer: A
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: B
xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2) Answer Choice: (A) 256 (B) 4 (C) 8 (D) 16 (E) 32
Answer: A
A certain galaxy is known to comprise approximately 4 x 10^12 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun? Answer Choice: (A) 800 (B) 1,250 (C) 8,000 (D) 12,000 (E) 80,000
Answer: E
If a book is sold at 5% profit instead of 5% loss, it would have brought Rs 13 more. Find out the cost price of the book Answer Choice: (A) 75 (B) 72 (C) 130 (D) 70 (E) 80
Answer: C
If the number of students in each of three groups are in the ratio 8:9:10, and also the number of students in each group is a multiple of 5. then the following statements are true.
I. The product of number of students of each group is divisible by both 2 and 3.
II. The product of number of students of each group is divisible by 125
III. The product of number of students of each group is divisible by 125, 2 and 3 Answer Choice: (A) I (B) II (C) III (D) All of the above (E) None of the above
Answer: D
Kavi spends 50% of his monthly salary on food and saves 80% of the remaining amount. If his monthly salary is Rs.19,000, how much money does he save every month ? Answer Choice: (A) Rs.2000 (B) Rs.600 (C) Rs.8000 (D) Rs. 3800 (E) Rs.1200
Answer: D
I. a3 - 405 = 324,
II. b2 - 72 = 9 to solve both the equations to find the values of a and b? Answer Choice: (A) a > b (B) a ≥ b (C) a < b (D) a ≤ b (E) a = b or the relationship between a and b cannot be established.
Answer: B
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 30° is? Answer Choice: (A) 35m2 (B) 36m2 (C) 37m2 (D) 38m2 (E) 40m2
Answer: C
Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper? Answer Choice: (A) A)Rs.598 (B) B)Rs.594 (C) C)Rs.596 (D) D)Rs.550 (E) None of these
Answer: D
Mary charges $8.50 per hour to clean a house. If she works 22 hours, how much
does she earn in one week? Answer Choice: (A) $687.00 (B) $112.50 (C) $187.00 (D) $487.50 (E) $387.50
Answer: C
In a class of students, 1/2 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class? Answer Choice: (A) 1/2 (B) 3/2 (C) 1/3 (D) 2/3 (E) 4/3
Answer: B
There were totally 100 men.84 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: D
What will be in unit's place digit of 3 to the power 34. Answer Choice: (A) 1 (B) 6 (C) 3 (D) 0 (E) 9
Answer: E
Jalal weighs twice as much as Meena. Meena's weight is 60% of Bahar's weight. Dolly weighs 50% of Laila's weight. Laila weighs 19% of Jalal's weight. Who among these 5 persons weighs the least? Answer Choice: (A) Bahar (B) Dolly (C) Jalal (D) Laila (E) Meena
Answer: B
Solve x2 – 7x = 0 Answer Choice: (A) 0,7 (B) 1,7 (C) 2,7 (D) 3,7 (E) 4,7
Answer: A
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGAR', if repetition of letters is not allowed? Answer Choice: (A) 690 (B) 60 (C) 740 (D) 760 (E) 780
Answer: B
A train running at the speed of 56 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 140 m (B) 786 m (C) 566 m (D) 546 m (E) 445 m
Answer: A
If w and t are positive integers, wt + w + t cannot be Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 30 percent. Answer Choice: (A) 145 (B) 90 (C) 175 (D) 160 (E) 130
Answer: B
If the average (arithmetic mean) of 18 consecutive odd integers is 414, then the least of these integers is Answer Choice: (A) a) 497 (B) b) 518 (C) c) 519 (D) d) 521 (E) e) 525
Answer: A
A car started running at a speed of 38 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey. Answer Choice: (A) 47 km (B) 76 km (C) 25 km (D) 15 km (E) 30 km
Answer: A
H.C.F. of 513, 1134 and 1215 is Answer Choice: (A) 27 (B) 21 (C) 76 (D) 42 (E) 33
Answer: A
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday? Answer Choice: (A) 0.008 (B) 0.147 (C) 0.488 (D) 0.512 (E) 0.64
Answer: B
If 10 men can make 200 tables working for 15 days at the rate of 8 hr per day, how many tables can 5 men make working for 10 days at the rate of 6 hr a day?A Answer Choice: (A) 150 (B) 50 (C) 250 (D) 100 (E) 120
Answer: B
A and B together can do a work in6 days. If A alone can do it in 42 days. In how many days can B alone do it? Answer Choice: (A) 11 (B) 7 (C) 8 (D) 20 (E) 25
Answer: B
A cistern can be filled by a tap in 7 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ? Answer Choice: (A) 4.5 hrs (B) 5 hrs (C) 6.5 hrs (D) 17.2 hrs (E) 31.5 hrs
Answer: E
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 80 percent of the drive from the center, what percent of the round-trip has the technician completed? Answer Choice: (A) 5% (B) 75% (C) 25% (D) 40% (E) 50%
Answer: B
A shop sells chocolates at re.1 each. U can exchange 3 wrappers for 1 chocolate. If u have Rs.100, how many chocolates can you totally get? Answer Choice: (A) 147 (B) 148 (C) 149 (D) 145 (E) 141
Answer: C
A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) A)10% (B) B)12% (C) C)14% (D) D)20% (E) E)22%
Answer: D
In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony? Answer Choice: (A) 1:9 (B) 1:6 (C) 1:3 (D) 1:1 (E) 1:3
Answer: E
If rupee one produces rupees nine over a period of 25 years, find the rate of simple interest? Answer Choice: (A) 22 1/7 % (B) 36 % (C) 22 1/8 % (D) 22 1/2 % (E) 22 1/2 %
Answer: B
Sripad has scored average of 64 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ? Answer Choice: (A) 79 (B) 28 (C) 76 (D) 27 (E) 21
Answer: C
Roses can be purchased individually for $7.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680? Answer Choice: (A)  156 (B)  162 (C)  316 (D)  324 (E)  325
Answer: C
The average age of a class of 42 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 45 Years (B) 46 Years (C) 59 Years (D) 52 Years (E) 54 Years
Answer: C
Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is Answer Choice: (A) Rs.9471 (B) Rs.12,628 (C) Rs.18,040 (D) Rs.12,228 (E) None
Answer: D
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be. Answer Choice: (A) 60 km/h (B) 55 km/h (C) 40 km/h (D) 70 km/h (E) 80 km/h
Answer: A
A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long? Answer Choice: (A) 30 (B) 35 (C) 40 (D) 45 (E) 50
Answer: A
Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01) Answer Choice: (A) 0.845 (B) 1.908 (C) 2.312 (D) 0.001 (E) 0.002
Answer: A
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 25 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row? Answer Choice: (A) 9 years (B) 29 years (C) 18 years (D) 19 years (E) 17 years
Answer: D
A train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds. Its length is? Answer Choice: (A) 23 (B) 22 (C) 21 (D) 30 (E) 19
Answer: D
Two trains are moving in opposite directions with speed of 150 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds Answer Choice: (A) 56 (B) 48 (C) 47 (D) 30 (E) 25
Answer: D
LCM of 2/7,3/14 and 5/3is Answer Choice: (A) 45 (B) 35 (C) 30 (D) 25 (E) None
Answer: C
A man can do a piece of work in 5days, but with the help of his son, he can finish it in 4days. In what time can the son do it alone? Answer Choice: (A) 5 (B) 5 1/2 (C) 7 1/2 (D) 6 (E) 20
Answer: E
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.13000 after a year? Answer Choice: (A) 3630 (B) 3900 (C) 8828 (D) 2387 (E) 2813
Answer: B
An error 1% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: Answer Choice: (A) 2.01 (B) 30.1 (C) 3.01 (D) 25.01 (E) 4.05
Answer: A
If the cost price is 81% of selling price then what is the profit percentage. Answer Choice: (A) 22.45 (B) 23.45 (C) 32.45 (D) 23.54 (E) 23.55
Answer: B
Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month? Answer Choice: (A) 1/7 (B) 1/6 (C) 1/5 (D) 1/2 (E) 1/3
Answer: E
On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 800 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years? Answer Choice: (A) $5 (B) $15 (C) $23 (D) $100 (E) $105
Answer: C
John completes a piece of work in 320 days, Rose completes the same work in 480 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 190 (B) 192 (C) 194 (D) 196 (E) 198
Answer: B
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? Answer Choice: (A) 20 (B) 18 (C) 12 (D) 14 (E) 15
Answer: E
If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 23? Answer Choice: (A) 101 (B) 187 (C) 191 (D) 201 (E) 264
Answer: E
Out of seven models, all of different heights, five models will be chosen to pose for a photograph. If the five models are to stand in a line from shortest to tallest, and the fourth-tallest and sixth-tallest models cannot be adjacent, how many different arrangements of five models are possible? Answer Choice: (A) 6 (B) 11 (C) 17 (D) 72 (E) 210
Answer: C
Two pipes A and B can separately fill a tank in 10 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank? Answer Choice: (A) 450 (B) 540 (C) 542 (D) 829 (E) 279
Answer: A
A rectangular table seats 3 people on each of two sides, with every person directly facing another person across the table. If 6 people choose their seats at random, what is probability that person P directly faces person Q? Answer Choice: (A) 1/5 (B) 1/8 (C) 2/7 (D) 5/6 (E) 3/5
Answer: A
In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 33.33% is made? Answer Choice: (A) 1:4 (B) 1:3 (C) 2:3 (D) 3:4 (E) None of these
Answer: B
Of 30 applicants for a job, 11 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Answer Choice: (A) 14 (B) 13 (C) 8 (D) 7 (E) 5
Answer: C
How many multiples of 2 are there between 10 and 100(both are inclusive)? Answer Choice: (A) 2 (B) 7 (C) 6 (D) 46 (E) 3
Answer: D
If the average (arithmetic mean) of 8 consecutive odd integers is 414, then the least of these integers is Answer Choice: (A) a) 407 (B) b) 518 (C) c) 519 (D) d) 521 (E) e) 525
Answer: A
If N = 2^0.15 and N^b = 32, b must equal Answer Choice: (A) 3/80 (B) 3/5 (C) 4 (D) 100/3 (E) 80/3
Answer: D
The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone? Answer Choice: (A) 87 (B) 26 (C) 48 (D) 37 (E) 20
Answer: C