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A certain sum amounts to Rs. 22,494 in 7 years at x% per annum on simple interest. If the rate of simple interest per annum had been (x + 4)%, the amount payable after 7 years would have been Rs. 25,917. Find the sum invested.
Which of the following numbers will replace the question mark (?) in the given series? 17, 30, 44, 59, 75,?
The sum of two numbers is 32 and one of them exceeds the other by 18. Find the greater number.
Raju and Raman can complete a piece of work in 12 days and 16 days, respectively. If they work on alternate days, starting with Raju, in how many days will the work be completed?
What is the nature of the roots of the quadratic equation x25x+7=0x^2 - 5x + 7 = 0 ?
This question is based on the following 3-digit numbers. 543 769 552 342 245 (Example-697-First digit = 6, second digit = 9 and third digit = 7) If in each of the numbers, 1 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the third digit of the same number?
The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and the area of the trapezium is 160 sq. units, find the ratio of length of greatest parallel side to that of the smallest parallel side.
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Find the value of 325 x 5 +31×21-22×(63-52).
Which of the following pairs is NOT coprime?
A group of people contains men, women and children. If 40% of them are men, 35% are women and rest are children, and their average weights are 70 kg, 60 kg and 30 kg, respectively. The average weight of the group is:
Find the roots of the equation 6p25p6=0.6p^2 -5p-6 = 0.
A car can cover 275 km in 5 hours. If its speed is reduced by 5 km/h, then how much time will the car take to cover a distance of 250 km?
A sum of Rs. 4000 is lent on simple interest at the rate of 10% per annum. Simple interest for 5 years is how much more than the simple interest for 3 years?
A sum of Rs. 12500 gives interest of Rs. 5625 in T years at simple interest. If the rate of interest is 7.5%, then what will be the value of T?
A sum of Rs. 10640 gives interest of Rs. 3724 in x years at 5% simple interest. What will be the value of x?
A sum of Rs. 9800 gives simple interest of Rs. 4704 in 6 years. What will be the rate of interest per annum?
A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years at simple interest. What is the sum?
'A' lent ₹5000 to 'B' for 2 years and ₹3000 to 'C' for 4 years on simple interest at the same rate of interest and received ₹2200 in all from both of them as interest. The rate of interest per annum is-
If the simple interest (SI) for 10 years is 1 / 5 of the principal. Then what will be the SI of Rs 5000 with the same rate of interest for 5 years?
A person invested Rs. 1175 at the rate of 5% per annum at simple interest from 02 December 2024 to 12 February 2025. Find the interest earned by that person(Both dates inclusive).
If Rs.750 at a fixed rate of simple interest amounts to 1000 in 5 years, then how much will it become in 10 years at the same rate of simple interest?
A sum of money at simple interest amounts to Rs. 500 in 3 years and Rs. 600 in 5 years. What is the rate of interest?
If a + b = 56 and (a - b)² = 496, find the value of product of a and b.
The smallest natural number that must be added to 1212 to make it a perfect square is:
Find the smallest number by which 6300 must be multiplied to make it a perfect square
A and B invest ₹42,000 and 56,000 respectively, in a business. At the end of the year they make a profit of 287,220. Find B's share in the profit.
If sec 44 cosec (3A-50°), where 44 and 34 are acute angles, find the value of A + 75.
If 10% of 24% of x is 240, then x = ?
In how many years will a sum of ₹10,000 become ₹13,310 at 10% compound interest per annum, compounded annually?
If 3x - 2y = 10 and xy = 11, the value of 27x³ - 8y³ is_____
Two angles are complementary. The larger angle is 6º less than thrice the measure of the smaller angle. What is the measure of the larger angle?
Find the mode of the data 2, 2, 3, 5, 15, 15, 15, 20, 21, 23, 25, 15, 23, 25.
Two pipes X and Y can fill a cistern in 21 hours and 24 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom it takes 48 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty it if no pipe is open during that time?
How many seconds will a boy take to run one complete round around a square field of side 38 metres, if he runs at a speed of 6 km/h?
If x²+2x+9 = (x-2)(x-3), then the resultant equation is:
Which of the following pairs of numbers are co-primes?
Two wires A and B are made of same material and have the same length but different cross-sectional areas. If the resistance of wire A is 9 times the resistance of wire B. the ratio of the radius of wire A to that of wire B is:
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A man buys 15 identical articles for a total of 15. If he sells each of them for 21.23, then his profit percentage is:
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If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is:
Which of the following is the greatest number that divides 72 and 119 and leaves 3 and 4 as respective remainders?
A vendor sold 25 laptops at a profit of 12% and 15 laptops at a profit of 20%. If he had sold all the 40 laptops at a profit of 18%, his profit would have increased by 230,000. What is the cost price of each laptop, if the cost price of all the 40. laptops is the same?
If AB = x + 3, BC = 2x and AC = 4x-5, then for what value of 'x' does B lie on AC?
The diagonal and one side of a rectangular plot are 65 m and 63 m, respectively. What is the perimeter of the rectangular plot?
A class of 30 students appeared in a test. The average score of 12 students is 80, and that of the rest is 75. What is the average score of the class?
The fraction equivalent to 0.474747... is:
If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?
Find the area of a triangle whose sides are 12 m, 14 m and 16 m.