IPMAT 2020 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2020 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper Question 11: The probability that a randomly chosen factor of 1019 is a multiple of 1015 is - \\frac{1}{25})
- \\frac{1}{12})
- \\frac{1}{20})
- \\frac{1}{16})
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Explanatory Answer1019 = 219 × 519
This is of the form 2x × 5y
x can take values from 0 to 19
y can take values from 0 to 19
x can take 20 vales and y can also take 20 values
Chosen number has 20 × 20 = 400 factors Among that we need a number which is a multiple of 1015 = 215 × 515
This is of the form 2a × 5b We need a number that is not only a multiple of 2a × 5bbut also a factor of 219 × 519 Looking for numbers which are in form 2p × 5q Since 2p × 5q is a factor of 219 × 519, p and q should be less than or equal to 19
Since 2p × 5q is a multiple of 215 × 515, p and q should be more than or equal to 15 p and q can take any of the 5 values 15, 16, 17, 18, 19.
So, the probability is \\frac{5 × 5}{20 × 20}) = \\frac{1}{16}) The question is " The probability that a randomly chosen factor of 1019 is a multiple of 1015 is " Hence, the answer is \\frac{1}{16})Choice C is the correct answer. IPMAT 2020 Question Paper Indore Quants. Solve questions from IPMAT 2019 Question Paper from IPM Indore and check the solutions to get adequate practice. IPMAT 2020 Question Paper - IPM Indore QuantsIn a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsThe shortest distance from the point (-4,3) to the circle x2 + y2 = 1 is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsThe value of 0.04log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16})) is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsSuppose \\left|\begin{array}{ccc}a & a^{2} & a^{3}-1 \\b & b^{2} & b^{3}-1 \\ c & c^{2} & c^{3}-1\end{array}\right| \\) = 0 where a, b and c are distinct real numbers. If a= 3, then the value of a b c is
IPMAT 2020 Question Paper - IPM Indore QuantsThe minimum value of f(x)=|3-x|+|2+x|+|5-x| is equal to __________.
IPMAT 2020 Question Paper - IPM Indore QuantsAshok purchased pens and pencils in the ratio 2: 3 during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio 4: 1 and paid Rs. I 12 . The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsIn a four-digit number, the product of thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18 . The thousands digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four-digit number is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsOut of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M , 30 passed P and 40 passed C. At most 20 students passed M and P at most 20 students passed P and C and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsTwo friends run a 3-kilometer race along a circular course of length 300 meters. If their speeds are in the ratio 3:2, the number of times the winner passes the other is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsOut of 13 objects, 4 are indistinguishable and rest are distinct. The number of ways we can choose 4 objects out of 13 objects is __________.
IPMAT 2020 Question Paper - IPM Indore QuantsThe probability that a randomly chosen factor of 1019 is a multiple of 1015 is - \\frac{1}{25})
- \\frac{1}{12})
- \\frac{1}{20})
- \\frac{1}{16})
IPMAT 2020 Question Paper - IPM Indore QuantsThe number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is
IPMAT 2020 Question Paper - IPM Indore QuantsThe equation of the straight line passing through the point M (-5,1), such that the portion of it between the axes is divided by the point M in to two equal halves, is - 10y - 8x = 80
- 8y + 10x = 80
- 10y + 8x = 80
- 8y + 10x + 80 = 0
IPMAT 2020 Question Paper - IPM Indore QuantsThe value of cos2\\frac{π}{8}) + cos2\\frac{3π}{8}) + cos2\\frac{5π}{8}) + cos2\\frac{7π}{8}) is - 1
- \\frac{3}{2})
- 2
- \\frac{9}{4})
IPMAT 2020 Question Paper - IPM Indore QuantsIf \\frac{1}{1^{2}}) + \\frac{1}{2^{2}}) + \\frac{1}{3^{2}}) + .... upto ∞ = \\frac{π^{2}}{6}), then the value of \\frac{1}{1^{2}}) + \\frac{1}{3^{2}}) + \\frac{1}{5^{2}}) + .... upto ∞ is - \\frac{π^{2}}{8})
- \\frac{π^{2}}{16})
- \\frac{π^{2}}{12})
- \\frac{π^{2}}{36})
IPMAT 2020 Question Paper - IPM Indore QuantsA man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. The probability that it is actually a five is - \\frac{4}{9})
- \\frac{5}{9})
- \\frac{4}{15})
- \\frac{2}{15})
IPMAT 2020 Question Paper - IPM Indore QuantsIf log5log8(x2 - 1) = 0, then a possible value of x is
IPMAT 2020 Question Paper - IPM Indore QuantsConsider the following statements:
(i) When 0 < x < 1, then \\frac{1}{1+x}) < 1 - x + x2
(ii) When 0 < x < 1, then \\frac{1}{1+x}) > 1 - x + x2
(iii) When -1 < x < 0, then \\frac{1}{1+x}) < 1 - x + x2
(iv) When -1 < x < 0, then \\frac{1}{1+x}) > 1 - x + x2
Then the correct statements are - (i) and (ii)
- (ii) and (iv)
- (i) and (iv)
- (ii) and (iii)
IPMAT 2020 Question Paper - IPM Indore QuantsFifty litres of a mixture of milk and water contains 30 percent of water. This mixture is added to eighty litres of another mixture of milk and water that contains 20 percent of water. Then, how many litres of water should be added to the resulting mixture to obtain a final mixture that contains 25 percent of water?
IPMAT 2020 Question Paper - IPM Indore QuantsThree workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast at the third worker, and can complete the task an hour sooner than the second worker. Then, the average time in hours taken by the three workers, when working alone, to construct the wall is - \\frac{√33 + 4}{3})
- \\frac{√33 + 5}{3})
- \\frac{√33 + 6}{3})
- \\frac{√33 + 7}{3})
IPMAT 2020 Question Paper - IPM Indore QuantsIn a class, students are assigned roll numbers from 1 to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those whose roll numbers are divisible by 3 opted for basketball. 'The number of students who did not opt for any of the three sports is
IPMAT 2020 Question Paper - IPM Indore QuantsGiven f(x) = x2 + log3x and g(y) = 2y + f(y), then the value of g(3) equals
IPMAT 2020 Question Paper - IPM Indore QuantsA 2 × 2 matrix is filled with four distinct integers randomly chosen from the set {1,2,3,4,5,6} Then the probability that the matrix generated in such a way is singular is - \\frac{2}{45})
- \\frac{1}{45})
- \\frac{4}{15})
- \\frac{1}{15})
IPMAT 2020 Question Paper - IPM Indore QuantsAshok started a business with a certain investment. After few months, Bharat joined him investing half amount of Ashok's initial investment. At the end of the first year, the total profit was divided between them in ratio 3:1 . Bharat joined Ashok after - 2 months
- 3 months
- 4 months
- 6 months
IPMAT 2020 Question Paper - IPM Indore QuantsThe average marks of 6 students in a test is 64 . All the students got different marks, one of the students ohtained 70 marks and all other students scored 40 or above. The maximum possible difference between the second highest and the second lowest marks is
Q26 - 30:
The table below represents the buy and sell prices of five stocks during the five trading days of a given week. The quoted sell price is the price at which an investor can sell a stock in the market. The quoted buy price is the price at which an investor can buy a stock from the market. All the quoted numbers are in Indian Rupees. DayMondayTuesdayWednesdayThursdayFridayQuoteSellBuySellBuySellBuySellBuySellBuyDabur460462455458432433444447461462Marico345346335336365368372375372374HUL1931193319521955197919812044204819661969ITC237238238239246251221225253256Britannia3044304631003101311031153025302731403144IPMAT 2020 Question Paper - IPM Indore QuantsIf an investor had Rs 36,00,000 to invest in any particular single stock, and she could buy the stock only on Monday and sell it off only on Fridav. then the stock she should buy on Monday to earn the maximum possible profit during the week is
IPMAT 2020 Question Paper - IPM Indore QuantsIf an investor planned to invest Rs 36,00,000 in purchasing the stocks of HUL on Monday, sell them off on Wednesday and use the entire proceeds to purchase the stocks of Britannia on the same day and sell them off again on Friday, then the total investment return during the week would be - 2.80 percent
- 3.00 percent
- 3.20 percent
- 3.40 percent
IPMAT 2020 Question Paper - IPM Indore QuantsThe difference between the quoted buy and sell price of a stock is referred to as the spread of the stock. The average spread of the stocks is lowest on - Monday
- Tuesday
- Thursday
- Friday
IPMAT 2020 Question Paper - IPM Indore QuantsA brokerage firm charges 0.1 percent trading commission on the value of shares bought or sold through its trading platform. If an investor bought 1000 shares of Britannia on Tuesday, and sold all of them on Thursday, then the total brokerage fee that will be charged from the investor is
IPMAT 2020 Question Paper - IPM Indore QuantsIf you had decided to invest Rs.36,00,000 worth of ITC stocks on Monday, then the day of the week you should choose to sell the stocks to earn the maximum possible profit would be
What is the probability of getting a multiple of 10?
Answer: 10% of probability of choosing multiples of 10.
What is the probability of selecting a multiple of 2 from the number 1 10?
50% chance. Multiples of 2 from 1–10 is 2,4,6,8 and 10. That is 5 possible multiples of 2 out of 10 numbers. 5 out of 10=5/10=50/100=50%.
What is multiple of 2 in 1 to 10?
First 10 Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Which number is both a factor and a multiple of 10?
We know that every number is a multiple and the factor of itself. Thus, 10 is a factor of 10, and also 10 is a multiple of 10. However, there is a difference between factors and multiples, which you can learn here. The multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, etc.
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