In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is
The traffic lights at three different road crossings change after 24 s, 36 s and 54 s respectively. If they all change simultaneously at 10 : 15 : 00 am, then at what time will they again change simultaneously?
The ratio of weekly incomes of A and B is 9 : 1 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes is
The mean of 50 numbers is 30. Later it was discovered that two entires were wrongly entered as 82 and 13 instead of 28 and 31. Find out the correct mean.
The perimeter of a triangle is 40 cm and its area is \[60\,\,c{{m}^{2}}.\]If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is
Krishna purchased a number of articles at Rs. 10 for each and the same number for Rs. 14 each. He mixed them together and sold them for Rs. 13 each. Then, his gain or loss per cent is
In a business partnership among A,B,C and D, the profit is shared as follows \[\frac{A's\,\,share}{B'\text{s}\,\,\text{share}}=\frac{B'\text{s}\,\,\text{share}}{C'\text{s}\,\,\text{share}}=\frac{C'\text{s}\,\,\text{share}}{D'\text{s}\,\,\text{share}}=\frac{1}{3}\] If the total profit is Rs. 400000 the share of C is
While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit. What is the marked price of the watch?
If the price of sugar is raised by 25%, find by how much per cent a householder must reduce his consumption of sugar so as not to increase his expenditure?
A person having bought goods for Rs. 400 sells half of it at a gain of 5%, at what gain per cent must he shell the remainder so as to gain 20% on the whole?
Ramesh invested Rs. 500 for 4 yr and Rs. 600 for 3 yr at simple interest. If the total interest on both is Rs. 190, what is the rate of interest per cent per annum?
If an examination out of 1200 candidates 80% boys and 75% girls passed. If the total percentage of passed candidates be 75, what is the number boys who appeared in the examination?
A building worth Rs. 133100 is constructed on land worth Rs. 72900. After how many years will the value of both be the same if land appreciates at 10% per annum and building depreciates at 10% per annum?
Two taps can fill a cistern in 6 min and 7 min respectively. If these taps are opened alternately for a minute, in what time will the cistern be filled?
A, B, C enter into a partnership and their capitals are capital the proportion 20 : 15 : 12. A withdraws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847,A's share is
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and there by gains 25%. The percentage of water in the mixture is
The length of a rectangular field is double its width. Inside the field there is square shaped pond 8 m long. If the area of the pond is \[\frac{1}{8}\] of the area of the filed what is the length of the field?
The volume of solid cylinder whose diameter of the base 14 mm and length 25 mm is 3850 cu mm. If length of the cylinder is doubled but the diameter is halved what will be the volume of the resulting
Ram and Shyam together can do a work in 8 days. Both them began to work. After 3 days Ram fell ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the whole work?
The average weight of the 10 oars men in a boat is increased by 1 kg when one of the crew who weighs 50 kg is replaced by a new man. What is the weight of new man?
ABC is an equilateral triangle inscribed in a circle with AB = 5 cm. Let the bisector of the angle A meet BC in X and the circle in Y. What is the value of\[AX\cdot AY?\]
The radius and height of a right circular cone are in the ratio of 5 : 12 and its volume is \[2512\,\,\text{c}{{\text{m}}^{3}}.\]The slant height of the cone is
A vertical stick 15m long casts a shadow 12 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is
A right circular cylinder tunnel of diameter 2 m and length 40 m is to be instructed from a sheet of iron. The area of the iron sheet required in \[{{\text{m}}^{2}}\] is
If \[\text{cosec}\theta -\text{sin}\theta ={{a}^{3}},\] \[\sec \theta -\cos \theta ={{b}^{3}},\] then\[{{a}^{2}}{{b}^{2}}\,\,(a+{{b}^{2}})\] is equal to
An aeroplane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are\[60{}^\circ \]and \[45{}^\circ ,\]respectively. The height of the lower plane from the ground (in metre) is
A can contains a mixture of two liquids A and B in the ratio 7 : 5 When 9 L of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9 L of liquid contained by the can initially was
A copper wire is bent in the shape of a square of area \[A:B:C:D=1\times 1\times 1:3\times 1\times 1:3\times 3\times 1:3\times 3\times 3\]If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is \[\left( \text{take}\,\,\pi =\frac{22}{7} \right)\]
A trader bought two horses for Rs. 19500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively
A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
A can do a work in 5 days less than the time taken by B to do it. If both of them together take \[11\frac{1}{9}\]days, then the time taken by B alone to do the same work (in days) is
Directions: Study the following graph carefully and answer the questions given below.
Total Number of Boys and Girls in Various Colleges Number In Thous
The total number of girls from colleges D and E together are approximately what per cent of the total number of girls from colleges A, B and C together?
Directions: Study the Pie-graph given below and answer the questions that follow.
Budget Estimated by a Family for their Monthly Expense Total Salary = Rs. 32000 per month
Due to a sudden marriage, the family incurs miscellaneous expenditure of Rs. 3040 in total. How much is the increase in the amount under this head from that of the budgeted?
Directions: Study the Pie-graph given below and answer the questions that follow.
Budget Estimated by a Family for their Monthly Expense Total Salary = Rs. 32000 per month
The family saved Rs. 1920 on their electricity bill, as it was less than the estimated budget. What is the percentage of electricity bill amount of the total salary?