The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to21% then the volume, in cc, of the solution left in the second bottle is
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
Let digit at unit place = a Ten's place = b Hundred's place = c ∴ Number = 100c + 10 b + a On reversing number = 100a + 10b + c ∴ (100a + 10b+c) - (100c + 10 b + a) = 198 99a - 99c = 198 ⇒ a-c = 2 Now (a,c) can have seven combinations i.e. (3,1) (4, 2) (5,3) (6,4) (7,5) (8,6) (9,7) and b can take 10 values (0 to 9) ∴ 7 × 10 = 70 are possible three-digit numbers
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is
Suppose hospital A admitted 21 less Covi d infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72, respectively, the interest accrued, in INR, during the fourth year is nearest to
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is
A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple,4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is
2A + 4 O + 6 M = 1 A + 4 O + 8 M ⇒ 1A = 2M ………….. (1) 1 A+ 4 O + 8 M = 8 O + 7 M 2 M + 4 O + 8 M = 8 O + 7 M 10 M + 4 O = 8 O + 7 M 3 M = 8 O - 4 O 3 M = 4 O So 1st basket in terms of M can be 2 A + 4 O + 6 M = 4 M + 3 M + 6 M = 13 Mangoes
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is
Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is
Let number of pens = n Fixed salary = k CP of n pens = 8n Rs. So According to question [12 × 100 + (n-100)×11] - [k+8n] = 300 …………. (1) Also [12 × 100 + (n-100) × 9] - [k+8n] = -300 Solving we get = n = 400 and k = 1000 ∴ Salary = 1000 Rs.
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on. Then, the sum of the numbers in the 15th group is equal to
In first group 1 element is there In second group 3 elements are there In third group 5 elements are there ∴ in 14th group 27 elements are there ∴ Numbers used = 1 + 3 + 5 + ………. + 27 = 142 ∴ First elements of 15th group will be 197 and it will have 29 numbers ∴ S = 29/2 [ 2 × 197 + (28)] = 6119
Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5months is closest to
The number of groups of three or more distinct numbers that can be chosen from 1,2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
As 3, 5 are fixed. So we have to select remaining digits such that 7, 8 are not together. Three digits number = 6c1 = 6 (as only 1 digit is selected out of ) 4 digit number = 6c2 -1 = 14 5 digits number = 6c3 - 4 = 16 6 digits number = 6c4 - 6 = 9 7 digits number = 6c5 - 4c3 = 2 8 digit number will not be possible as (7,8) will be together' ∴ number of groups = 6 + 14 + 16 + 9 + 2 = 47
We at Quantifiers understand and deliver on the personal attention each of our students requires. Whether it is through our pedagogy that enables non-engineers or non-math background students, our constant effort to proactively provide solutions, or our focus on our student’s goals.
