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Previous Year Questions
If Chitra majors in Finance, which subject does Bandita major in?
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Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1. Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
3. Only one male student majors in Operations, while three female students minor in Marketing.
4. One female and two male students major in Finance.
5. Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6. Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
7. Daisy minors in Operations.
Who are the students from the institute Z?
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Which subject does Deb minor in?
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Which subject does Amit major in?
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If Chitra majors in Finance, which subject does Bandita major in?
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Who are the students from the institute Z?
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Which subject does Deb minor in?
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Which subject does Amit major in?
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Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.
1. Contamination levels at three pumps among P1 – P5 were recorded as high.
2. P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
3. P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4. High contamination levels were not recorded at any of the pumps P16 – P20.
5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.
Which of the following MUST be true?
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What best can be said about the number of pumps at which the contamination levels were recorded as medium?
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If the contamination level at P11 was recorded as low, then which of the following MUST be true?
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If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?
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Which of the following MUST be true?
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What best can be said about the number of pumps at which the contamination levels were recorded as medium?
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If the contamination level at P11 was recorded as low, then which of the following MUST be true?
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If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?
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What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
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What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
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An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)
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If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences? (TITA)
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What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
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What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
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In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)
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If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences? (TITA)
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During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
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During which month was the percentage increase in sales from the previous month’s sales the highest?
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What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
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In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
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During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
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During which month was the percentage increase in sales from the previous month’s sales the highest?
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What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
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In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
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Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?
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Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
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You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.
What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)
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What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)
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Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?
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Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
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What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)
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What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)
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What is the minimum possible number of satellites serving B exclusively?
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If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
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If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
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1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O.
The following facts are known about the satellites:
1.The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
2.The number of satellites serving all three of B, C, and S is 100.
3.The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
4.The number of satellites serving O is the same as the number of satellites serving both C and S but not B.
What best can be said about the number of satellites serving C?
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What is the minimum possible number of satellites serving B exclusively?
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If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
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If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
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What best can be said about the number of satellites serving C?
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John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?
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If John works the same number of regular and over-time hours say 'p'
The income would be 57p and 114p
Let's say that he works 'x' hours regularly and 'y' hours overtime.
So, the income would be 57x and 114y
we are told that 114y is 15% of 57x
114y = 0.15 * 57x
y = 0.075x
we also know that x+y = 172
therefore, x + 0.075x = 1.075x = 172
x = 160
y = 172 - 160 = 12
Therefore, the number of hours he worked Overtime is 12
A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y, respectively, then (x - y) / p equals
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The Shopkeeper procures the table at price 'p'
He gains 20% on the transaction with AmalSo, Amal buys the table at '1.2p'
Amal sells athe table at 30% profit,So the Selling Price of Amal = 1.3 * 1.2p = 1.56p
x = 1.56p
The Shopkeeper looses 20% on the transaction with Asim
So, Asim buys the table at '0.8p'
Asim sells athe table at 30% loss,
So the Selling Price of Asim = 0.7 * 0.8p = 0.56p
y = 0.56p
(x-y)/p = (1.56p - 0.56p)/p = 1.
Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is
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If 5x - 3y = 13438 and 5x-1 + 3y+1 = 9686 , then x+y equals
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The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is
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If (2n+1) + (2n+3) + (2n+5) + . + (2n+47) = 5280 , then what is the value of 1+2+3+ . +n ?
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If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? (TITA)
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Which of the following statements MUST be true?
1.Jatin's composite score was more than that of Danish.
2. Indu scored less than Chetna in DI.
3. Jatin scored more than Indu in GA.
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Which of the following statements MUST be FALSE?
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If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? (TITA)
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Which of the following statements MUST be true?
1.Jatin's composite score was more than that of Danish.
2. Indu scored less than Chetna in DI.
3. Jatin scored more than Indu in GA.
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Which of the following statements MUST be FALSE?
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The number of common terms in the two sequences: 15, 19, 23, 27, , 415 and 14, 19, 24, 29, , 464 is
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First series - 15, 19, 23, 27, , 415 -> Common difference = 4
Second series - 14, 19, 24, 29, , 464 -> Common difference = 5
Common terms in both sequences = 19, 39, 59, , (Common difference = LCM (4,5) = 20)
Now, observing the new series
19, 39, 59, , = (20 - 1), (40 -1), (60 -1), , (400-1) (There is no room for 419, as the first series ends
at 415)
399 = 400 - 1 = 20 x 20 -1
Hence, the number of common terms in the two sequences = 20
Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was
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In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is
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The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b2 + c?
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A man makes complete use of 405 cc of iron, 783 cc of aluminium, and 351 cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius 3 cm. If the total number of cylinders is to be kept at a minimum, then the total surface area of all these cylinders, in sq cm, is
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The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh's salary increased by 25% during 2010-2015, then the percentage increase in Rajesh's salary during this period is closest to
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How many pairs (m,n) of positive integers satisfy the equation the equation m2 + 105 = n2?
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Two ants A and B start from a point P on a circle at the same time, with A moving clock-wise and B moving anti-clockwise. They meet for the first time at 10:00 am when A has covered 60% of the track. If A returns to P at 10:12 am, then B returns to P at
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We are told that, by the time A and B meet for the first time, A covers 60% of the distance, while B covers 40% of the distance.
So, the speeds of A and B are in the ratio 60:40 or 3:2
Hence, the time they take to cover a particular distance will be in the ratio 2:3
We know that A covers 60% of the distance at 10:00 AM and covers 100% of the distance at 10:12 AM.
That means A takes 12 minutes to cover 40% of the track. So to cover the entire track he must have
taken 12+12+6 = 30 minutes.
(because 40% + 40% + 20% = 100%)
Since the time taken by A and B to complete the track are in the ratio 2:3, the time taken by B to complete the track will be 45 minutes.
At 10:00 AM, B has covered 40% of the track. If we can find out what time does B take to complete the remaining 60% of the track, we can find the finish time of B.
Time required to complete 60% of the track = 60% of 45 = 27 minutes.
Hence, B complete one single round at 10:27 AM
Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is
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