Quantitative Ap...

Kapil took a loan from ICICI bank of Rs 33100 to be paid in 3 equal instalments at a rate of 10% per annum compounded annually. Due to the pandemic, he could not pay the 3rd instalment and hence defaulted on the loan in the 3rd year. A fine of 15% was charged on the outstanding amount for the default. If Kapil paid all dues at the end of the 4th year, and if interest was levied annually on the outstanding amount even after default at 10% per annum, then how much did Kapil pay in the 4th year? (Round the value to the nearest integer)

Ameya is playing a game of dice where two dice are rolled. If the sum of the dice is greater than 7, he makes Rs 5. If it is less than 7, he pays the dealer Rs 5. If it is exactly equal to 7 then neither makes any money. What is the expected payoff for Ameya?

On a sum of money, the simple interest ( rate of interest r )for 2 years is the same as compound interest ( rate of interest R ) for the same time period. What is the relation between the rates of interest?

The salaries of A, B, C, D are in the ratio 1.1 : 3 : 3.3 : 4 and the if the salaries of A and B are increased by 11% , 21% respectively and that of C and D are decreased by 32% and 1% respectively, then find the ratio of their new salaries?

Peter divided some amount of money among his two sons and two daughters in the ratio $$\dfrac{1}{9} :\dfrac{1}{17} : \dfrac{1}{11} : \dfrac{1}{13}$$. If the difference between the highest amount and the lowest amount is Rs. 5720, what is the total amount distributed?

A dishonest dealer purchases goods at 20% discount of the cost price of x and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then he marks up his goods by 80%, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage?

A stone dropped from the sky falls $$5t^{2}$$ metres in t seconds. If it is dropped from a height of 245 metres, how much distance does it travel in the last two seconds before hitting the ground?

A solution of 1 litre consists of two liquids A and B in the ratio 2:3. From this, 50% of the solution is first drawn out and then replaced with liquid B. After that, 40% of the solution is drawn out and replaced with liquid B. Then, 30% of the solution is drawn out and replaced with liquid B. What percentage of this resultant solution should be replaced with liquid A, such that the concentration of A and B in the final solution is same as that of the initial solution (round the answer to the nearest integer)?

Two deodorant bottles are on the shelf - one is TAXe deodorant and the other’s brand is MAXe. They are both leaking. Initially, TAXe has 300 ml more deodorant than MAXe. After 100 ml of deodorant leaks out of each bottle, MAXe has half as much as TAXe. At this point, how much deodorant does TAXe have (in mL)?

In the given figure ABCD is a square. AE:EB = 5:2, BF:FC = 6:1, DG:GC = 1:1 and DH:HA = 4:3. Find the ratio of the area of the polygon EFGH and the square ABCD.

Given that the sides of a triangle are 14, 16 and 18, find the product of the perimeter of the triangle and the inradius of the triangle.

Karan, Charan and Madan run along a straight line with speeds 3 m/s, 7 m/s and 10.5 m/s respectively. Charan starts 15 seconds after Karan. Madan starts 20 seconds after Karan. Charan reaches the finish line 11 seconds after Madan. How long after Charan reaches the finish line does Karan reach the finish line? (in seconds)

What is the maximum value of the expression $$\frac{1}{x^2 - 6x + 14}$$?

What is the volume of water in a rectangular lake of length 300m and breadth 200m, if its depth increases gradually from 50m at one bank to 100m at the other bank, along the breadth?

What is the remainder when $$2^{144}$$ is divided by 6?

There are 5 different chocolates which are to be shared by 3 persons Ravi, Raju and Rajiv. Find the number of ways of distributing the chocolates such that each of the persons gets at least one chocolate.

If the circumradius of an equilateral triangle is 6$$\sqrt{\ 3}$$, then what is the area of the incircle?

How many points in the region enclosed by $$y\geq|x-5|$$ and $$y\leq5$$ have integral coordinates?

A and B joined a company at the same time. Their annual salaries are in two arithmetic progressions since the year they joined. After $$'x'$$ years, the ratio of the total salaries earned by A and B is $$(2x+1): (3x+2)$$. What is the ratio of their respective salaries in the 9th year?

If $$ax^2+bx+3\ =\ 0\ $$ is a quadratic equation with real and distinct roots.

If a can take different values from the set = (1, 2, 3, 4, 5, 6, 7, 8)

If b can take different values from the set = (6, 7, 8, 9, 10, 11)

The minimum value of the quadratic equation was calculated and was found to occur when x > -1. For how many ordered pairs of (a,b) is this true?

On the first day, few man started working and each man completed a few units of work. Starting from the second day, the number of men increased by 6 everyday and the amount of work done per man decreased by 5 every day. This continued till 5 days at the end of which a total of 500 units of work had been done. Find out the total amount of work done on 3rd day.

3 men and 4 women can do a piece of work in 5 days. 4 men and 3 women can do the same work in 6 days. How many days will 4 men and 4 women take to complete the work?