Harry wants to mix the flour of two different rates so that he can sell at the rate he wants. In what proportion he must mix the flour at Rs. 16.6 per kg with another flour at Rs. 16.45 per kg so that the mixture can be sold at the rate of Rs. 16.54 per kg?
If \[\left( \frac{{{p}^{-1}}{{q}^{2}}}{{{p}^{3}}{{q}^{-2}}} \right)\div \left( \frac{{{p}^{6}}{{q}^{-3}}}{{{p}^{-2}}{{q}^{3}}} \right)={{p}^{a}}{{q}^{b}}\] then the value of \[a+b\],where p and q are different positive primes, is
The average weight of the first 11 persons among the 12 is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is
The distance between two places R and S is 42 km. Kanika starts from R with a uniform speed of 4 km/h towards S and at the same time Yashika starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Yashika is
While solving a problem, by mistake, Minakshi squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the answer right. What was the given number?
In a partnership business, B's capital was half of A's. If after 8 months, B withdrew half of his capital and after 2 months more A withdrew \[\frac{1}{4}th\]of his capital, then the profit ratio of A and B will be
AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3 cm, then the diameter of the circle is
The radii of two solid iron spheres are 1 cm and 6 cm respectively. A hollow sphere is made by melting the two spheres. If the external radius of the hollow sphere is 9 cm, then its thickness (in cm) is
The area of an isosceles trapezium is \[176\,\,c{{m}^{2}}\]and the height is 2/11th of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of the diagonal (in cm) is
Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, the speed of the train starting from Q is
A sum of Rs. 7,930 is divided into 3 parts and given a loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of
Branches of five nationalized banks A, B, C, D and E in Madhya Pradesh are as follows: A, B and C are in Indore and Bhopal; A, B and E are in Indore and Gwalior; B, C and D are in Raipur and Bhopal. A, E and D are in Gwalior and Jabalpur; C, E and D are in Raipur and Jabalpur which bank has branches in all the cities except Raipur.
In a class Radha's rank is 11th from the top and Amit's rank is 21st from the top among the students. If Radha is 6th from the top among the girls and sumit rank is 11th from the top among the boys and if radha is 64th from the bottom among the students and amit's rank is 28th from the bottom among the boys, what is the strength of a class:
The average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of the remaining 4 new students is.
A man purchases some oranges at the rate of 3 oranges for Rs. 40 and the same quantity at 5 oranges for Rs. 60. If he sells all the oranges at the rate of 3 oranges for Rs. 50, find his gain or loss percent (to the nearest integer).
A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C left 6 days before the completion of work. In what time is the work finished?
A and B are centers of two circles of radii 11 cm and 6 cm respectively. PQ is a direct common tangent to the circles. If \[\overline{AB}=13\,cm,\]then length of \[\overline{PQ}\] will be
The numerical values of the volume and the area of the lateral surface of a right circular cone are equal. If the height of the cone be h and radius be r, the value of \[1/{{h}^{2}}+1/{{r}^{2}}\] will be
A man borrows Rs. 20000 and agrees to pay both the interest and the principle in 4 equal annual installments. If interest is calculated at 5 % annually, what will be the annual instalment?
There were two different copper alloys of total weight 50 kg. The first contains 40% less copper than the second. Determine the percentage of copper in the first and second alloys, if it is known that there were 6 kg of copper in the first alloy and 12 kg in the second.
Find the value of \[\frac{26-15\sqrt{3}}{{{\left[ 5\sqrt{2}-\sqrt{38+5\sqrt{3}} \right]}^{2}}}+\frac{\sqrt{10}+\sqrt{18}}{\sqrt{8}+\sqrt{\left( 3-\sqrt{5} \right)}}\]