If x + y + z = 1, xy + yz + yz = –31 and x³ + y³ + z³ = 178, then what will be the value of xyz? (a) 25 (b) 26 (c) 27 (d) 28 Sol: x³+y³+z³ – 3xyz = (x+y+z){(x+y+z)² – 3(xy+yz+zx)} ⇒ 178 – 3xyz = 1(1² + 93) […]
A man deposited Rs. 2820 in a bank at 9% per annum and Rs. 3420 in another bank at 11% per annum. Find the rate of interest for the whole sum (a) 12.732% (b) 12.321% (c) 11.616% (d) 10.096% Sol:
A person sold 35 articles for Rs. 2800 and incurred a loss of 20%. How many articles should he sell for 5850 to make a profit of 17%? (a) 70 (b) 60 (c) 40 (d) 50 Sol:
1/5 of the total of an article is sold at a profit of 22%. ½ of the total of an article at a profit of 37% and remaining at a loss of 11%. Find the cost price of the articles if the total profit is Rs. 1225. (a) Rs. 5966 (b) Rs. 6250 (c) Rs.
In how many months will Rs.32500 will become Rs.36517 at compound interest at 24% per annum compounded quarterly? (a) 18 (b) 12 (c) 6 (d) 9 Sol:
For the given data 67, 50, 34, 24, 78, 43. What is the median? (a) 45.5 (b) 46.5 (c) 47.5 (d) 50.5 Sol: Arranging in ascending order, we get: 24, 34, 43, 50, 67, 78 Here, n (no.of observations) = 6 (even) Using the median formula, Median = (3rd obs. + 4th obs.)/2 = (43
For the given data 67, 50, 34, 24, 78, 43. What is the median Read More »
If the difference between CI and SI on a certain sum for three y ears is Rs 9507.176 at 7% per annum. Find the principal (in Rs.) (a) 416000 (b) 632000 (c) 630026 (d) 712006 Sol:
If sinθ = √3 cosθ, 0° < θ < 90°, the then value of (2sin²θ + sec²θ + sinθ secθ + cosecθ) is: Sol:
In ∆ABC, AD ⊥ BC, if BD = x units, then x is: Sol: a² + x² – 2ax + h² = b² …(ii) from subtracting (i) from (ii) a² – 2ax = b² – c²
If (4x + 3y + 9) (3x + 7y – 8) is equal to ax² + by² + cxy + dx + ey – f, Find the value of a+b+c/d-e÷f a) -8.43 b) -9.84 c) -3.64 d) -2.67 Sol: (4x + 3y + 9) (3x + 7y – 8) = 21y² + 12x² + 37xy
If (4x + 3y + 9) (3x + 7y – 8) is equal to ax² + by² + cxy + dx + ey – f Read More »
