loafeihong/math_mmlu_format huggingface dataset:
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Answer Choice: (A) 15 (B) 25 (C) 35 (D) 45 (E) 55
Answer: C
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did Monica plan on? Answer Choice: (A) 3. (B) 4. (C) 5. (D) 6. (E) 7.
Answer: D
The average weight of three men A, B and C is 84 Kg. The average weight becomes 80 Kg when D joins them. If E whose weight is 3 Kg more than D joins the group replacing A, then the average weight of B, C, D and E becomes 79 Kg. The weight of A is: Answer Choice: (A) 65kg (B) 70kg (C) 75kg (D) 80kg (E) 85kg
Answer: C
Choose the missing terms out of the given alternatives.
AD, EH, IL, ?, QT Answer Choice: (A) MP (B) LM (C) MN (D) OP (E) OM
Answer: A
A firm has 4 senior partners and 6 junior partners. How many different groups S of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different) Answer Choice: (A) 48 (B) 100 (C) 120 (D) 288 (E) 600
Answer: B
In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 48%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
Two numbers N and 12 have LCM = 54 and GCF = 8. Find N. Answer Choice: (A) 24 (B) 34 (C) 36 (D) 54 (E) 64
Answer: C
Seats for Maths, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%,50% and 75%. What will be the ratio of increased seats? Answer Choice: (A) 1:2:3 (B) 2:3:4 (C) 2:4:5 (D) 3:6:7 (E) 5:7:9
Answer: B
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100) Answer Choice: (A) 1/20 (B) 1/15 (C) 1/16 (D) 1/19 (E) 1/24
Answer: A
The Hobo Music Orchestra is comprised of, 3/5 wind instrument musicians, 1/4 string instrument musicians, and the rest are percussion instrument musicians. If half of the string instrument musicians are violinists, and the conductor doubles the number of violinists, what proportion of the orchestra are now wind instrument musicians? Answer Choice: (A) 9/10 (B) 6/11 (C) 7/15 (D) 1/2 (E) 6/7
Answer: B
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? Answer Choice: (A) 120 kg (B) 240 kg (C) 360 kg (D) 480 kg (E) 520 kg
Answer: B
A 10% stock yielding 8% is quoted at? Answer Choice: (A) 125 (B) 170 (C) 175 (D) 180 (E) 185
Answer: A
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train? Answer Choice: (A) 270 m (B) 176 m (C) 197 m (D) 167 m (E) 187 m
Answer: A
how many square are there between 2001....2300 I don't remember the exact series. Answer Choice: (A) 1 (B) 4 (C) 2 (D) 3 (E) 5
Answer: D
A bag contains 7 green balls and 7 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour? Answer Choice: (A) 4/13 (B) 6/13 (C) 8/21 (D) 11/21 (E) 17/42
Answer: B
If f(x) = ax^4 + x^3 + 2ax + 5, then f(b) – f(-b) will equal: Answer Choice: (A) 0 (B) 2ab (C) 2ab^4 – 8b^2 – 6 (D) -2ab^4 + 8b^2 + 6 (E) 2b^3 + 4ab
Answer: E
The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article? Answer Choice: (A) Rs. 40 (B) Rs. 50 (C) Rs. 49 (D) Rs. 59 (E) None of these
Answer: C
(1/5)^q * (1/4)^18 = 1/(2(10)^35). What is q? Answer Choice: (A) 17 (B) 18 (C) 34 (D) 35 (E) 36
Answer: D
A can give B a start of 50 metres or 10 seconds in a kilometer race. How long does A take to complete the race? Answer Choice: (A) 200 seconds (B) 140 seconds (C) 220 seconds (D) 190 seconds (E) None
Answer: D
For which of the following does f(m)−f(n)=f(m−n) for all values of m and n? Answer Choice: (A) f(y)=y^2 (B) f(y)=y/2 (C) f(y)=y+5 (D) f(y)=2y−1 (E) f(y)=|y|
Answer: B
Two trains are moving at 65 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is? Answer Choice: (A) 6 2/3 sec (B) 7 1/7 sec (C) 7 2/2 sec (D) 8 1/2 sec (E) 7 1/9 sec
Answer: A
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is: Answer Choice: (A) 36 (B) 98 (C) 34 (D) 35 (E) 62
Answer: A
The graph of a quadratic function and the graph of a linear function in the xy plane can intersect in at most how many points Answer Choice: (A) one (B) Two (C) Three (D) Four (E) More than four
Answer: E
A train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters? Answer Choice: (A) 240 meters (B) 360 meters (C) 420 meters (D) 300 meters (E) Cannot be determined
Answer: D
What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ? Answer Choice: (A) 9800 (B) 9600 (C) 9400 (D) 9200 (E) 9300
Answer: B
One-fifth of the apples produced by farm are defective and one-quarter of all apples produced are rejected by the quality control technician. If one-tenth of the non defective apples are rejected by mistake, and if all the apples not rejected are sold, then what percent of the apples sold by the farm are defective? Answer Choice: (A) 4% (B) 5% (C) 6% (D) 8% (E) 12%
Answer: A
In a Fish tank there are 8 fishes are there. In how many possibilities to choose 6 fishes from the tank? Answer Choice: (A) 20 (B) 21 (C) 28 possibilities (D) 8 (E) 30
Answer: C
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 27 sec. The length of each train is? Answer Choice: (A) 50 (B) 37.5 (C) 27 (D) 28 (E) 21
Answer: B
Solve 6x + 4 = 4x - 2 Answer Choice: (A) 2 (B) 3 (C) 5 (D) 1 (E) 8
Answer: D
Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability E that the new color will be one of theJaunecolors? Answer Choice: (A) 5/42 (B) 37/42 (C) 1/21 (D) 4/9 (E) 5/9
Answer: B
Suppose you play a game where you role a single dice and whatever you roll you get that dollar amount. For example, if you roll a 1 you get $1. If you roll a 6 you get $6. If you are unhappy with the first roll, you can roll again. However, if you get lower the second time, you cannot take the first roll. If you are unhappy with the second roll you can roll a third and final time. Again, if you get lower on the third roll, you have to keep this roll and cannot take the first or second roll.
What is the expected value of this game? Answer Choice: (A) 4250 (B) 4500 (C) 467 (D) 512 (E) 850
Answer: C
A bakery has 6 employees. It pays annual salaries of $19,000 to each of 2 employees, $21,000 to 1 employee, and $22,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees? Answer Choice: (A) $20,200 (B) $20,500 (C) $20,800 (D) $21,000 (E) $21,400
Answer: C
The successive discounts 20% and 15% are equal to a single discount of? Answer Choice: (A) 33 (B) 77 (C) 32 (D) 77 (E) 99
Answer: C
Product of two natural numbers is 7. Then, the sum of reciprocals of their squares is Answer Choice: (A) 50/49 (B) 1/289 (C) 290/90 (D) 290/19 (E) None of these
Answer: A
A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap? Answer Choice: (A) 7203 (B) 2403 (C) 3603 (D) 4803 (E) 5803
Answer: A
The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 10 (B) 99 (C) 15 (D) 66 (E) 23
Answer: C
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then BED? Answer Choice: (A) 33 (B) 34 (C) 35 (D) 32 (E) 31
Answer: A
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0 Answer Choice: (A) If x>y (B) If x>=y (C) If x < y (D) If x<=y (E) x=y or relationship cannot be established
Answer: E
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Answer Choice: (A) 40 (B) 37 (C) 32 (D) 39 (E) 28
Answer: A
Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/4 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity? Answer Choice: (A) 3/4 (B) 5/8 (C) 7/8 (D) 5/12 (E) 7/12
Answer: B
Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in three times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 36 minutes, then how many minutes does it take pump X alone to fill the tank? Answer Choice: (A) 18 (B) 24 (C) 26 (D) 28 (E) 30
Answer: B
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Answer Choice: (A) 2 (B) 8 (C) 7 (D) 62 (E) 21
Answer: B
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective? Answer Choice: (A) 1/166 (B) 1/186 (C) 1/196 (D) 2/106 (E) 1/126
Answer: E
How much 60% of 50 is greater than 40% of 30? Answer Choice: (A) 18 (B) 27 (C) 26 (D) 29 (E) 21
Answer: A
Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race. Answer Choice: (A) 51.5minutes (B) 52.5minutes (C) 53.5minutes (D) 54.5minutes (E) 55.5minutes
Answer: B
If pq = p^5 + q^2 – 2pq, for what value of q is pq equal to p^5 for all values of p? Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: C
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 380 dollars, and, in a third, loses 70. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ? Answer Choice: (A) 80 (B) 60 (C) -60 (D) -70 (E) None
Answer: C
The editor of an anthology of short stories will select authors from a pool of 11 authors, of which 5 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors? Answer Choice: (A) 420 (B) 431 (C) 442 (D) 453 (E) 464
Answer: B
A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion? Answer Choice: (A)  81 (B)  83 (C)  85 (D)  86 (E)  89
Answer: A
The area of a triangle is with base 4m and height 5m? Answer Choice: (A) 11 m2 (B) 10 m2 (C) 18 m2 (D) 19 m2 (E) 12 m2
Answer: B
The sum s of prime numbers that are greater than 60 but less than 70 is Answer Choice: (A)  67 (B)  128 (C)  191 (D)  197 (E)  260
Answer: B
A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ? Answer Choice: (A) 33 (B) 57 (C) 88 (D) 26 (E) 19
Answer: B
If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ? Answer Choice: (A) 100 (B) 101 (C) 99 (D) 98 (E) 97
Answer: C
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Answer Choice: (A) 230 (B) 278 (C) 266 (D) 555 (E) 255
Answer: A
if 50% of (x-y) = 20% of (x+y) then what percent of x is y? Answer Choice: (A) 2.5% (B) 10% (C) 5% (D) 15% (E) 43%
Answer: E
A bag of candy contained 360 pieces. A group of 25 students divided the candy so that the 11 boys received twice as much candy as the girls. How many pieces of candy did the boys get? Answer Choice: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20
Answer: E
a boy perform 5 times a reaction and his reading are 2,2.1,2,2.2 but unfortunately
5th reading clearly not visible because a drop of chemical fall onto it.but luckily he
have mean of all reading which is 2.please help him in finding 5th reading. Answer Choice: (A) 2 (B) 1.7 (C) 1.9 (D) 1.8 (E) 2.1
Answer: B
Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 20% ? Answer Choice: (A)  0 (B)  1.51 (C)  2 (D)  2.12 (E)  4
Answer: D
A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the
second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take
both the punctures together to make it flat ? Answer Choice: (A) 315min (B) 325min (C) 335min (D) 345min (E) None of these
Answer: C
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: Answer Choice: (A) 40 (B) 80 (C) 90 (D) 100 (E) 120
Answer: A
The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number? Answer Choice: (A) 25 (B) 27 (C) 29 (D) 32 (E) 55
Answer: E
In a graduating class, 40 percent of the students are male. In this class, 60 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old? Answer Choice: (A) 0.4 (B) 0.44 (C) 0.48 (D) 0.52 (E) 0.56
Answer: D
Oak trees line both sides of a street for a length of 7/10 of a kilometer. If there is 14 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street? Answer Choice: (A) a)	22 (B) b)	23 (C) c)	24 (D) d)	44 (E) e)	48
Answer: E
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 + 6), the remainder is also D. If P/Q = 1020.75 and P/(Q + 6) = 816.6, then which of the following gives the correct set of {D, Q}? Answer Choice: (A) {6, 12} (B) {6, 15} (C) {9, 12} (D) {9, 15} (E) {18, 24}
Answer: E
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election. Answer Choice: (A) 1300000 (B) 12500 (C) 14000 (D) 12000 (E) None of these
Answer: A
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was: Answer Choice: (A) three times as much (B) twice as much (C) the same (D) half as much (E) A third as much
Answer: B
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required? Answer Choice: (A) 18 (B) 20 (C) 24 (D) 36 (E) 42
Answer: E
If a, b and c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is Answer Choice: (A) equilateral (B) isosceles (C) right-angled (D) obtuse-angled (E) None of these
Answer: A
jhon has 10 choclates, jennifer has 5 choclates. Totally how many choclates they have in all? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 14
Answer: C
One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 3 parts soda. Compare the strength of the wine. Answer Choice: (A) 35;36 (B) 15 : 18 (C) 7 : 4 (D) 14 : 5 (E) None of these
Answer: B
Find the third proportional to 63 and 29.9? Answer Choice: (A) 14.09 (B) 14.29 (C) 14.19 (D) 14.16 (E) None of these
Answer: C
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? Answer Choice: (A) 120% (B) 190% (C) 100 percent (D) 200% (E) 101%
Answer: C
The ratio of the number of females to males at a party was 1:2 but when 3 females and 3 males left, the ratio became 1:3. How many people were at the party originally? Answer Choice: (A) 14 (B) 16 (C) 18 (D) 20 (E) 22
Answer: C
The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 10, 50, and what number? Answer Choice: (A) 40 (B) 45 (C) 55 (D) 45 (E) 50
Answer: D
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 8% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy? Answer Choice: (A) 22% (B) 23.9% (C) 24% (D) 25% (E) 34%
Answer: B
The least number which must be subtracted from 6709 to make it exactly divisible by 9 is: Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
If 3^k - 3^(k-1) = 162 then k(k-1) = Answer Choice: (A) 12 (B) 16 (C) 20 (D) 30 (E) 81
Answer: C
10 is added to a certain number, the sum is multiplied by 2, the product is divided by 2 and 2 is subtracted from the quotient. The remainder left is half of 88. What is the number? Answer Choice: (A) 21 (B) 20 (C) 25 (D) 36 (E) 45
Answer: D
If f(a)=4a+6b+8, what is the value of (f(3a)-f(2b)) ? Answer Choice: (A) 6a+8b+6 (B) 8a-6b (C) 5a+3b-8 (D) 6a+7b+3 (E) 8a-2b+9
Answer: B
A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: D
A square and a rectangle have equal areas. If their perimeters are p1 and p2 respectively, then Answer Choice: (A) p1 < p2 (B) p1 = p2 (C) p1 > p2 (D) none of these (E) Cannot be determined
Answer: A
Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed? Answer Choice: (A) 10 (B) 5 (C) 15 (D) 4 (E) 3
Answer: B
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) Rs. 4980 (B) Rs. 4991 (C) Rs. 4996 (D) Rs. 4997 (E) Rs. 5000
Answer: B
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 5 o’clock in the afternoon? Answer Choice: (A) 60° (B) 90° (C) 270° (D) 320° (E) None of these
Answer: C
A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is Answer Choice: (A) 22 (B) 32 (C) 25 (D) 88 (E) 11
Answer: C
A train 125 m long passes a person, running at 5 km/hr in the same direction in which that the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 40 km/hr (B) 60 km/hr (C) 55 km/hr (D) 50 km/hr (E) 65 km/hr
Answer: D
How many three-digit numbers that do not contain the digits 2 or 5 are there? Answer Choice: (A) 488 (B) 996 (C) 228 (D) 456 (E) 1986
Answer: B
Each of the following equations T has at least one solution EXCEPT Answer Choice: (A) T=–2^n = (–2)^-n (B) T=2^-n = (–2)^n (C) T=2^n = (–2)^-n (D) (–2)^n = –2^n (E) (–2)^-n = –2^-n
Answer: A
A and B complete a work in 4 days. A alone can do it in 8 days. If both together can do the work in how many days? Answer Choice: (A) 3.75 days (B) 3.78 days (C) 3.25 days (D) 3.15 days (E) 2.7 days
Answer: E
The average age of students in section A of 50 students is 14 years and the average age of students in section B of 30 students is 6 years. Find the average age of students in both sections taken together? Answer Choice: (A) 20years (B) 15years (C) 18years (D) 9years (E) 11years
Answer: E
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 266 (B) 288 (C) 245 (D) 776 (E) 225
Answer: E
Find the middle one when The sum of three consecutive even numbers is 36? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 15 (E) 16
Answer: B
What is the value of âˆš81% ? Answer Choice: (A) 25% (B) 36% (C) 42% (D) 60% (E) 90%
Answer: E
26 men can complete a piece of work in 8 days. In how many days will 25 men complete the same work? Answer Choice: (A) 7 1/3 days (B) 9 1/3 days (C) 8 2/3 days (D) 8 1/3 days (E) 9 1/3 days
Answer: D
A train 110 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is Answer Choice: (A) 54 kmph (B) 60 kmph (C) 66 kmph (D) 72 kmph (E) 82 kmph
Answer: B
How many 6 letter words ( with or without meaning) can be formed using all the following 5 lettersV, P,Q,R,S,and T so that letter P is to the left of letter R? Answer Choice: (A) 320 (B) 300 (C) 400 (D) 480 (E) 360
Answer: E
If sq. root of(x)/|y| = -1 which of the following must be true? Answer Choice: (A) x = -y (B) x = y (C) x = y^2 (D) x^2 = y^2 (E) x^3 = y^3
Answer: C
35 - [23 - {15 - x}] = 12 × 2 ÷ 1/2 Answer Choice: (A) 34 (B) 32 (C) 17 (D) 27 (E) 28
Answer: B
A boat goes 100 km downstream in 8 hours, and 75 Km upstream in 15 hours. The speed of the stream is? Answer Choice: (A) 3 (B) 6.5 (C) 5.5 (D) 4 (E) 3.75
Answer: E
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is Answer Choice: (A) 33 (B) 77 (C) 12 (D) 88 (E) 91
Answer: C
Set M contains numbers that satisfy the condition that, if integer x is in the set then x-3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I.-7
II. -1
III. 2 Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II and III
Answer: A
Carol spends 1/4 of her savings on a stereo and 1/6 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television? Answer Choice: (A) 1/4 (B) 2/7 (C) 5/12 (D) 1/2 (E) 11/24
Answer: E
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 1 (B) 7.5 (C) 2.25 (D) 1.5 (E) 4
Answer: A
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 4 p.c? Answer Choice: (A) 28000 (B) 29000 (C) 37000 (D) 38400 (E) 40000
Answer: D