Direct Questions CAT 2024 Quant Slot 1
Question 1 of 5
Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
Suppose \( x_1, x_2, x_3, \ldots, x_{100} \) are in an arithmetic progression such that \( x_5 = -4 \) and \( 2x_6 + 2x_9 = x_{11} + x_{13} \). Then, \( x_{100} \) equals
If the equations \( x^2 + mx + 9 = 0 \), \( x^2 + nx + 17 = 0 \), and \( x^2 + (m + n)x + 35 = 0 \) have a common negative root, then the value of \( (2m + 3n) \) is
Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work fordouble the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is