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Two trains of length 60 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? |
Tough and Tricky questions: Functions.
Let a be a positive integer. Let n#a equal n^(2a) . Then (2#3) + (3#2) – (3#3) is equal to |
Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 500 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby? |
How many of the positive divisors of 120 are also multiples of 4 not including 120? |
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 81 hours and 9 hours respectively. The ratio of their speeds is |
In a group of cows and hens, the number of legs are 20 more than twice the number of heads. The number of cows is |
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most? |
A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 40 pints of Perfect Pink paint? |
The proportion of the ages of Pooja and Charlie is 2 : 5, After 8 years, their ages will be in the proportion of 1 : 2. Then what is the variance in their current ages? |
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 50 minutes a... |
A man can row 9 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? |
Two employees X and Y are paid a total of Rs. 560 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? |
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 7 and 13.? |
1480 men have provisions for 14 days. If 460 more men join them, for how many days will the provisions last now? |
Given a certain number (Q), find Q given that 1 is 5% of 25% of Q? |
Ravi purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit? |
The average of six numbers is 3.95. The average of two of them is 3.1, while the average of the other two is 3.85. What is the average of the remaining two numbers? |
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station? |
The price of rice falls by 40%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously? |
Rebecca's annual income is $20,and Jimmy's annual income is $10,. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income? |
How many positive integers arethere from 0 to 1000 that leave a remainder of 3 on division by 7 & a remainder of 2 on division by 4? |
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ? |
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of C square inches. Which of the following equations must be true? |
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms R in the sequence are smaller than the average |
The cost of an article is decreased by 10%. If the original cost is $60, find the decrease cost. |
A and B started a business with their capitals Rs. 36,000 and 12,000 respectively. Annual profit will be distributed between them in the ratio |
Which expression is the greatest? |
The ratio of spinsters to cats is 2 to 9. If there are 63 more cats than spinsters, how many spinsters are there? |
If the mode of Set D is equal to the median of Set D, Set D could be |
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 5 type B widgets is equal to the weight of 7 type C widgets. What is the ratio ... |
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. y = 0
II. x = 0
III. x = -y |
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 36 sec. The length of each train is? |
A man can row with a speed of 40 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is? |
In a race, Mohan beats Sohan by 40m and Sohan beats Rohan by 80m. Mohan beats Rohan by 104m. Find the length of the race (in m). |
Increasing the original price of a certain item by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by what percent? |
80 is what percent of 160? |
In a business, A and C invested amounts in the ratio 2 : 1, and B also invest some amount . If Rs 180000 was their profit, B receive 48000, what was the investment ratio between A and B? |
If (1/2)^16 (1/81)^k = 1/18^16, then k = |
If log a/b + log b/a= log (a + b), then: |
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=2/3, what is the ratio of rectangle A’s area to rectangle B’s area? |
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. |
Seven carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if six of the carpenters work together at their respective rates ? |
If f(a)=6a+6, what is the value of (f(2a)+f(a)) ? |
If x = 6 and y = −2, what is the value of (x − 2y)^y? |
Ted’s score was in the 80th percentile out of 200 students in one class. In another class of 100 students there were 15 scores higher than ted’s. If nobody had Ted’s score, then Ted’s was what percentile of the two classes combined? |
Twenty people at a meeting were born during the month of September, which has 30 days. The probability that at least two of the people in the room share the same birthday is closest to which of the following? |
An aeroplane covers a certain distance at a speed of 120 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: |
A person was asked to state his age in years. His reply was , "Take my age 5 years hence, multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old I am." What was the age of the person ? |
A boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper. |
Find the total number of prime factors in the expression (4)^11 x (7)^7 x (11)^2 |
If ‘n‘ integers taken at random and multiplied together, then what is the probability that the last digit of the product is 1, 3, 7 or 9 ? |
A man sold 18 toys for Rs. 18900, gaining thereby the cost price of 3 toy find the cost price of a toy |
the sum of the ages of 5 children born at the intervals of 3 year each is 40 year. what is the age of the eldest child ? |
Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $914800, how many months will it take Joan to pay back her mortgage? |
If A and B get profits of Rs.18,000 and Rs.15,000 respectively at the end of year then ratio of their investments are |
The value of P, when 4864 x 9P2 is divisible by 12, is |
Nine men went to a theater. Eight of them spent Rs.3 each over their tickets and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? |
which of the following inequalities indicates the set of all values of d for which the lengths E of the three sides of a triangle can be 3,4, and d? |
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family? |
Two fair die with sides numbered 1 to 6 are tossed. What is the probability that the sum of the exposed faces on the die is a prime number? |
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 9, what is the probability that the 2 numbers included the number 5? |
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? |
Mike's age is 57 years. If he is 5 more than twice the age of his son, find the age of his son. |
Subtracting 2% of A from A is equivalent to multiplying A by how much ? |
P, Q, R, S and T are five speakers who have to speak on a particular day, not necessarily in the same order. R is neither the first nor the last speaker. There are three speakers after S and three speakers ahead of T. If P speaks after Q, then who is the last speaker to speak? |
A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by e meteres, What is the area of the rug in square meters? |
Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is? |
A charity collected $4,199 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have? |
Tanaka and Sam worked all summer mowing lawns to earn money for college. They combined what they made everyday and at the end of summer they split all of their earnings evenly (50/50) between themselves. If Sam earned an even number of dollars, and the product of Tanaka and Sam's earnings is an even number, then which ... |
x men working x hours per day can do x units of a work in xx days. How much work can be completed by y men working y hours per day in y days? |
Max planned to buy bike, sales man advised him to buy within this month, If he purchase next month means State Tax will be increasing 10% than its cost and it would be 82500. What is the bike's Selling price in this month |
Which one of the following numbers is exactly divisible by 11? |
If two of the four expressions x + y , x + 3y , x - y , and 3x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer? |
Which is the smallest no which divides 2880 and gives a perfect square? |
A and B together can complete a piece of work in 6 days. B and C can complete the same work in 8 days.A and C can finish it in 12 days. If they all work together, how long it will take to finish the work |
If k, m, and n are consecutive integers such that k > m > n and the sum of k, m, and n is a multiple of 10, which of the following could be the value of k? |
If the cost price is 90% of sp then what is the profit % |
The sum of ages of 5 girls born at the intervals of 3 years each is 70 years. What is the age of the youngest girl? |
There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible? |
If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples? |
What is the next number of the following sequence
1,2,3,5,8,13,? |
A child must place 3 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins? |
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is? |
A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is: |
The sale price sarees listed for Rs.500 after successive discount is 10% and 5% is? |
A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is |
Larry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed? |
A class has three girls and three boys. These students line up at random, one after another.
What is the probability that no boy is right next to another boy, and no girl is right next to
another girl? |
In an examination 35% of the students passed and 260 failed. How many students appeared for the examination? |
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? |
In a fuel station the service costs $2.20 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty? |
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then DAB? |
A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ? |
In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards M will he need to gain this Sunday if he wants to keep his season average above 100 yards? |
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there a... |
Two trains 121 meters and 153 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? |
A profit of Rs. 500 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ? |
How many prime numbers are between 76/8 and 124/5? |
The following sets each have a mean of 8 and the standard deviations are given in variable form.
Set I = {8, 8, 8, 8, 8, 8}, standard deviation = A
Set II = {2, 2, 2, 14, 14, 14}, standard deviation = B
Set III = {5, 6, 7, 9, 10, 11}, standard deviation = C
Rank these three standard deviations from least to greatest. |
33 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be : |
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