CAT 2017 | SLOT - 2 | DILR
CAT 2017 | Slot 2 | Quantitative Ability
Dive into the 8 sets - question CAT 2017 | Slot 2 DILR paper, designed to test your quantitative skills. Includes solutions and explanations for all questions to help you understand key concepts. Uploaded on MBA Litmus to help aspirants practice and prepare effectively.
An old woman had the following assets:
She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.
Q1. How much did Seeta receive in bank deposits (in lakhs of rupees)?
Options: 30, 40, 20, 10
Q2. How many flats did Neeta receive? (TITA)
Q3. The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How many gold coins did the old woman have?
Options: 72, 90, 180, 216
Q4. The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How much did Seeta get in bank deposits (in lakhs of rupees)? (TITA)
In an 8 × 8 chessboard, a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column, or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in c-th column and 5-th row.
Q1. If the queen is at c5, and the other pieces at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? (There are no other pieces on the board.)
Options: 2, 3, 4, 5
Q2. If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?
Options: f8, a7, c1, d3
Q3. If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then from how many positions can the queen not attack any of the pieces?
Options: 0, 3, 4, 6
Q4. Suppose the queen is the only piece on the board and it is at position d5. In how many positions can another piece be placed on the board such that it is safe from attack from the queen?
Options: 32, 35, 36, 37
At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer.
Repair Types:
• Rs. 1 or 2 Crores → Light repairs
• Rs. 3 or 4 Crores → Moderate repairs
• Rs. 5 or 6 Crores → Extensive repairs
Conditions:
Q1. Which of the following is NOT necessarily true?
Options: Dorm 1 needs a moderate repair | Dorm 5 repair will cost no more than Rs. 4 Crores | Dorm 7 needs an extensive repair | Dorm 10 repair will cost no more than Rs. 4 Crores
Q2. What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)? (TITA)
Q3. Suppose further that:
What is the cost for repairing Dorm 9 (in Rs. Crores)? (TITA)
Q4. Suppose further that:
Which of the following is a women's dorm?
Options: Dorm 2 | Dorm 5 | Dorm 8 | Dorm 10
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
The flight has 30 rows, numbered 1 to 30, each with 6 seats (A–F).
• Seats A–C → Left of aisle, Seats D–F → Right of aisle
• A, F = Window seats
• B, E = Middle seats
• C, D = Aisle seats
• Example: 1A = left window seat in Row 1; 12E = right middle seat in Row 12.
Extra charges:
Conditions:
Q1. In which row was Manik sitting?
Options: 10 | 11 | 12 | 13
Q2. How much extra did Jayanta pay for his choice of seat?
Options: Rs.300 | Rs.400 | Rs.500 | Rs.1000
Q3. How much extra did Gargi pay for her choice of seat?
Options: Rs.0 | Rs.300 | Rs.500 | Rs.1000
Q4. Who among the following did not pay any extra amount for his/her choice of seat?
Options: Kikira | Manik | Gargi | Tapesh
There were seven elective courses – E1 to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.
Further, the following are known:
Q1. How many elective courses among E1 to E6 had a decrease in their enrolments after the change process?
Options: 4 | 1 | 2 | 3
Q2. After the change process, which of the following is the correct sequence of number of students in the six electives E1 to E6?
Options: 19, 76, 79, 21, 45, 60 | 19, 76, 78, 22, 45, 60 | 18, 76, 79, 23, 43, 61 | 18, 76, 79, 21, 45, 61
Q3. After the change process, which course among E1 to E6 had the largest change in its enrolment as a percentage of its original enrolment?
Options: E1 | E2 | E3 | E6
Q4. Later, the college imposed a condition that if after the change of electives, the enrolment in any elective (other than E7) dropped to less than 20 students, all the students who had left that course will be required to re-enrol for that elective. Which of the following is a correct sequence of electives in decreasing order of their final enrolments?
Options: E2, E3, E6, E5, E1, E4 | E3, E2, E6, E5, E4, E1 | E2, E5, E3, E1, E4, E6 | E2, E3, E5, E6, E1, E3
Funky Pizzeria was required to supply Pizzas to three different parties. The total number of Pizzas it had to deliver was 800. 70% of which was to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are 4 types of Pizzas: T – NC, T – EC, D – NC, D – EC. Partial information about proportions of T and NC pizzas ordered by the three parties are given below.
Q1. How many Thin Crust pizzas were to be delivered to Party 3?
Options: 398 | 162 | 196 | 364
Q2. How many Normal Cheese pizzas were required to be delivered to Party 1?
Options: 104 | 84 | 16 | 196
Q3. For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of T-EC and D-EC pizzas to be delivered to Party 2?
Options: 18 | 12 | 30 | 24
Q4. Suppose that a T-NC pizza cost as much as a D-NC pizza, but of the price of a D-EC pizza. A D-EC pizza costs Rs. 50 more than a T-EC pizza, and the latter costs Rs. 500. If 25% of the Normal Cheese pizzas delivered to Party 1 were of Deep Dish variety, what was the total bill for Party 1?
Options: Rs.59480 | Rs.59840 | Rs.42520 | Rs.45240
A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.
The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.
The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not.
Q1. How many different sequences of scans are allowed for any given person's original scan? (TITA)
Q2. The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. For example, if TIMRL is the original sequence, then ITRML is allowed, but LIMRT is not. How many different sequences are allowed for any given person's original scan?
Options: 7 | 5 | 8 | 13
Q3. The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed for any given person's original scan? (TITA)
Q4. The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned once, which can be done in any order. Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed if the original sequence is LRLTIM?
Options: 8 | 11 | 13 | 14
A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea.
Some other information is given below:
Q1. What was the second highest rating given? (TITA)
Q2. What was the number of the cup that contained tea from Ooty? (TITA)
Q3. If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad?
Options: 3 | 5 | 1 | 6
Q4. If the cup containing teas from Wayanad and Ooty had consecutive numbers, which of the following may be true?
Options: