@sumitra755
Started 3 weeks ago in
Actual CAT 2023 SLOT 1
Question 7The equation x3+(2r+1)x2+(4r−1)x+2=0 has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of r isCorrect Answer:2ExplanationAnswer- 2x3+(2r+1)x2+(4r−1)x+2=0Since -2 is one of the roots, the cubic equation can be factored as…(x+2)(x2+(2x−1)x+1)=0Since the other two roots are real, (x2+(2x−1)x+1)=0 has two real roots.That is the discriminant of (x2+(2x−1)x+1)=0 is non-negative.(2r−1)2≥4r≥32 or r≤−12Therefore the minimum possible non-negative integral value of r is 2.
@sumitra755
Started 3 weeks ago in
Real CAT Mock 11 (RC 11) 2024
Q11-Q15Question 11Answer the questions based on the information given below.All India classical dancer’s association organised a dance festival of 24 hours non-stop dance workshop on four types of dance forms namely, Kathak, Bharatnatyam, Kathakali and Kuchipudi on 1st June from 4:00 a.m. to 2nd July 4:00 a.m. 24 workshops of one hour each were conducted in the dance festival.1. Second workshop and twenty third workshop were the only workshops on Kuchipudi.2. Till 11:00 a.m., three workshops had been conducted on Kathakali.3. Bharatnatyam’s first workshop was held at 11:00 a.m.4. 12:00 p.m. workshop and 1:00 p.m. workshop was the only two workshops in the festival, when the same form of dance workshop was held consecutively.5. No Kathakali workshop was held after 9:00 p.m. (including 9 :00 p.m.)6. Number of Kathakali workshops were double of the number of Bharatnatyam workshops in the dance festival.7. The workshop conducted at 4:00 p.m. was Bharatnatyam.8. First workshop and the last workshop were on Kathak.Q 11. How many workshops of Kathak has been held in the dance festival?ExplanationAnswer- 10Using point 1, 3, 7, 2 and 5, we have following two tables:Table 1:Date & Time | Dance Form | Date & Time | Dance FormJune 1, 4:00 a.m. | Kathak | June 1, 4:00 p.m. | BharatnatyamJune 1, 5:00 a.m. | Kuchipudi | June 1, 5:00 p.m. | June 1, 6:00 a.m. | Kathakali | June 1, 6:00 p.m. | June 1, 7:00 a.m. | Kathak | June 1, 7:00 p.m. | June 1, 8:00 a.m. | Kathakali | June 1, 8:00 p.m. | June 1, 9:00 a.m. | Kathak | June 1, 9:00 p.m. | KathakJune 1, 10:00 a.m. | Kathakali | June 1, 10:00 p.m. | BharatnatyamJune 1, 11:00 a.m. | Bharatnatyam | June 1, 11:00 p.m. | KathakJune 1, 12:00 p.m. | | June 2, 12:00 a.m. | BharatnatyamJune 1, 1:00 p.m. | | June 2, 1:00 a.m. | KathakJune 1, 2:00 p.m. | | June 2, 2:00 a.m. | KuchipudiJune 1, 3:00 p.m. | | June 3, 3:00a.m. | KathakOrTable 2: Date & Time | Dance Form | Date & Time | Dance FormJune 1, 4:00 a.m. | Kathak | June 1, 4:00 p.m. | BharatnatyamJune 1, 5:00 a.m. | Kuchipudi | June 1, 5:00 p.m. | June 1, 6:00 a.m. | Kathakali | June 1, 6:00 p.m. | June 1, 7:00 a.m. | Kathak | June 1, 7:00 p.m. | June 1, 8:00 a.m. | Kathakali | June 1, 8:00 p.m. | June 1, 9:00 a.m. | Kathak | June 1, 9:00 p.m. | BharatnatyamJune 1, 10:00 a.m. | Kathakali | June 1, 10:00 p.m. | KathakJune 1, 11:00 a.m. | Bharatnatyam | June 1, 11:00 p.m. | BharatnatyamJune 1, 12:00 p.m. | | June 2, 12:00 a.m. | KathakJune 1, 1:00 p.m. | | June 2, 1:00 a.m. | BharatnatyamJune 1, 2:00 p.m. | | June 2, 2:00 a.m. | KuchipudiJune 1, 3:00 p.m. | | June 2, 3:00 a.m. | KathakUsing the condition 4 and 6 it can be concluded that total number of workshops of Kathakali cannot be 10, thus table 2 is not possible.Total workshops on Kathakali = 8; Bharatnatyam = 4Table 1 can be filled as follows: Date & Time | Dance Form | Date & Time | Dance FormJune 1, 4:00 a.m. | Kathak | June 1, 4:00 p.m. | BharatnatyamJune 1, 5:00 a.m. | Kuchipudi | June 1, 5:00 p.m. | KathakJune 1, 6:00 a.m. | Kathakali | June 1, 6:00 p.m. | KathakaliJune 1, 7:00 a.m. | Kathak | June 1, 7:00 p.m. | KathakJune 1, 8:00 a.m. | Kathakali | June 1, 8:00 p.m. | KathakaliJune 1, 9:00 a.m. | Kathak | June 1, 9:00 p.m. | KathakJune 1, 10:00 a.m. | Kathakali | June 1, 10:00 p.m. | BharatnatyamJune 1, 11:00 a.m. | Bharatnatyam | June 1, 11:00 p.m. | KathakJune 1, 12:00 p.m. | Kathakali | June 2, 12:00 a.m. | BharatnatyamJune 1, 1:00 p.m. | Kathakali | June 2, 1:00 a.m. | KathakJune 1, 2:00 p.m. | Kathak | June 2, 2:00 a.m. | KuchipudiJune 1, 3:00 p.m. | Kathakali | June 3, 3:00 a.m. | Kathak10 workshops of Kathak have been held in the festival.Therefore, the required answer is 10.
@sumitra755
Started 3 weeks ago in
Real CAT Mock 10 (RC 10) 2024
QAQuestion 16a and b are two distinct natural numbers. Half of the smaller number is subtracted from each number a and b. Of the resultant numbers, the larger number is twice the smaller number. What is the ratio of a and b?2 : 1 3 : 1 3 : 24 : 3 Screenshot 2024-10-31 183727.png 63.82 KB
@sumitra755
Started 3 weeks ago in
Data Interpretation and Logical Reasoning Sectional Test 15 (DILR-15) - 2024
Question 1-5These questions are based on the following information.There are 10 shelves having names as: A, B, C, D, E, F, G, H, I and J which are arranged in 2rows, one above the other. Shelves A, B, C, D and E are in the row 1, and rest in the row 2 that are above row 1. These shelves are arranged in alphabetical order, shelf A is placed at left end of the row 1, then shelf B and so on, similarly shelf F is placed at left end of row 2, and immediately above shelf A, then, shelf G and soon. Each shelf belongs to different person.Each shelf contains certain number of glucose sachets and spoons. There is at least one sachet in each shelf. Weight of each sachet is 30 grams and that of each spoon is 8 grams. Weight of each shelf is equal to total weight of sachets and total weight of spoons on that shelf. Total weigh to fall sachets and spoons in all shelves need not be equal to total weigh to frow.a) Weight of shelf C is 54 grams. There is 1 shelf between shelf C and Bhanu’s shelf. Bhanu’s shelf contains two sachets and the number of spoons in Bhanu’s shelf is six more than number of spoons in shelf C.b) Surbhi’s shelf is just above Bhanu’s shelf. Surbhi’s shelf contains same number of sachets as Bhanushelfand1 spoon.c) There are 2 shelves between Surbhi’s shelf and Anil’s shelf. Weight of Anil’s shelf is 2 grams more than weight of Surbhi’s shelf.d) Name of Rajesh’s shelf is immediately following letter in alphabetical order to name of Anil’s shelf. Rajesh’s shelf contains one sachet more than that in Surbhi’s shelf and one spoon less than in Anil’s shelf.e) There is one shelf between Fatima’s and Rajesh’s shelves. Arjun’s shelf is just below Fatima’s shelf.f) There is one shelf between Raghu’s shelf and Arjun’s shelf.g) Sree’s shelf is in row 2.Manu’s shelf is just below Sree’s shelf.h) Sree’s shelf has same number of sachets and spoons.i) Fatima’s shelf has one sachet more than that in Sree’s shelf.j) Weight ofFatima’s shelf is 82 grams more than that of Manu’s shelf.k) Weight of Ravi’s shelf is 70 grams less than weight of Bhanu’s shelf.l) Raghu’s shelf has greater than or equal to 4 sachets.m) Weight of Manu’s shelf is 8 grams less than that of immediately following shelf in alphabetical order.n) Total weight of row 1 is 436 gram sand that of row 2 is 518 grams.
@sumitra755
Started 3 weeks ago in
Data Interpretation and Logical Reasoning Sectional Test 13 (DILR-13) - 2024
Question 6Read the following information carefully and solve the questionsIn JBC school, students of 6th class appeared in exams of 5 different subjects namely Hindi, English, Mathematics, Social Science and Science. All of them passed in Hindi. It is also known that 23% of the students passed in only Hindi. Students who passed in all subjects are one-third of the number of students who passed in Hindi and Maths only. Students who passed in Hindi, English and Science only are twice the number of students who passed in Hindi, Social Science and Maths only. Total number of students who passed in Science are 612. The total number of students who passed in exactly 3 exams is 630. Number of students who passed in Hindi and Mathematics only are 90% of the students who passed in Hindi and English only. 30 students passed in all subjects except Science. Ratio between number of students who passed in Hindi, Science and Maths only are 33% of the students who passed in Hindi, Social Science and English only. Total number of students who passed in Mathematics is 600 and that of English is 765. Number of students who passed in Hindi, Science and Social Science only are 120% of the number of students who passed in Hindi, English and Mathematics only. Number of students who passed in Hindi and Science only is one less than twice the number of students who passed in Hindi and Social Science only. Number of students who passed in Hindi and English only is 250. Number of students who passed in Hindi, Science and Social Science only are 150% of the number of students who passed in Hindi, English and Science only. 40 students passed in all subjects except Mathematics.What is the total number of students?3200310033003250
@sumitra755
Started 3 weeks ago in
Quantitative Ability Sectional Test 13 (QA-13) - 2024
Question 12As seen in the illustration, a bomb shell is composed of a hollow cylindrical base and a hollow hemispherical top. The Bomb Shell has a consistent thickness throughout and is only open on one end. The bomb shell has a 2013cm2 outer curved surface area and an 1188cm2 inner curved surface area. The Bomb Shell measures a total of 30.5 cm in height. Determine the bomb shell's thickness
@sumitra755
Started 3 weeks ago in
Quantitative Ability Sectional Test 13 (QA-13) - 2024
Question 5Akhilesh is situated between the X and Y metro stations. He notices a Metro coming up to station X. The Metro is expected to continue travelling in the same direction, towards station Y. He is 250 metres from station Y and X, respectively. As soon as he notices the Metro, he immediately begins racing in the direction of station Y and barely makes it on board. He later calculates and realises that, had he ran in the direction of station X, he and the Metro would have arrived there simultaneously. What will be the ratio of Akhilesh's speed to that of the Metro if we use the slowest possible speed at which he must run to make the Metro in time?1 : 11 : 42 : 51 : 9
@sumitra755
Started 3 weeks ago in
I'm unable to understand
Bhikaji Foods purchases 10000 kgs of Pickle from cottage industries, every month. Company has the tradition to sell it in two packing size of 4 & 6 kgs per tin. Due to market conditions, company saw an incremental rise in the demand for 4kg tin whereas the lukewarm order position for 6kg tin. This forced the company to increase the prlce of 4kg & reduce for 6kh packing. In the process, company earns INR3000 per tin of 4kg, whereas it loses INR2000 per tin of 6kg. Calculate the ratio of the rates at which the company sells the pickle.a) 4: 6b) 7: 8c) 21: 8d) 10: 6
@sumitra755
Started 3 weeks ago in
EBooks -> LOD 2 -> 50 Must Do LR Caselet Questions -> Q44-Q50
Screenshot 2024-09-18 154127.png 218.49 KBScreenshot 2024-09-18 154141.png 108.46 KBScreenshot 2024-09-18 154159.png 137.04 KB
@sumitra755
Started 3 weeks ago in
QA Sectional Mock - 6, Q4
Two trains Shatabdi express & Rajdhani express simultaneously started on two parallel tracks from Mumbai to Delhi, which are 1400 km, The ratio of the speed of both trains is 6:8. After how much distance (in km.) should Rajdhani express exchange speed with Shatabdi express so that both trains reach the destination simultaneously? 900 km800 km700 km500 km