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Previous Year Questions
If Chitra majors in Finance, which subject does Bandita major in?
Video Explanation
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.
If Chitra majors in Finance, which subject does Bandita major in?
Video Explanation
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.
What best can be said about the number of pumps at which the contamination levels were recorded as medium?
Video Explanation
If the contamination level at P11 was recorded as low, then which of the following MUST be true?
Video Explanation
If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?
Video Explanation
What best can be said about the number of pumps at which the contamination levels were recorded as medium?
Video Explanation
If the contamination level at P11 was recorded as low, then which of the following MUST be true?
Video Explanation
If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?
Video Explanation
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)
Video Explanation
In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)
Video Explanation
During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
Video Explanation
During which month was the percentage increase in sales from the previous month’s sales the highest?
Video Explanation
What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
Video Explanation
In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
Video Explanation
During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
Video Explanation
During which month was the percentage increase in sales from the previous month’s sales the highest?
Video Explanation
What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
Video Explanation
In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
Video Explanation
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?
Video Explanation
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?
Video Explanation
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)
Video Explanation
What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)
Video Explanation
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?
Video Explanation
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?
Video Explanation
What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)
Video Explanation
What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)
Video Explanation
What is the minimum possible number of satellites serving B exclusively?
Video Explanation
If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
Video Explanation
If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
Video Explanation
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?
Video Explanation
What is the minimum possible number of satellites serving B exclusively?
Video Explanation
If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
Video Explanation
If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
Video Explanation
What best can be said about the number of satellites serving C?
Video Explanation
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
Video Explanation
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
Video Explanation
If 5x - 3y = 13438 and 5x-1 + 3y+1 = 9686 , then x+y equals
Video Explanation
If (2n+1) + (2n+3) + (2n+5) + . + (2n+47) = 5280 , then what is the value of 1+2+3+ . +n ?
Video Explanation
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.
Video Explanation
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.
Video Explanation
The number of common terms in the two sequences: 15, 19, 23, 27, , 415 and 14, 19, 24, 29, , 464 is
Video Explanation
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
Video Explanation
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?
Video Explanation
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
Video Explanation
How many pairs (m,n) of positive integers satisfy the equation the equation m2 + 105 = n2?
Video Explanation
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
Video Explanation
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
Video Explanation