Class 11 PSA Quantitative Reasoning Test

A & B can do a piece of work in 10 days. A alone can do it in 15 days. How long will B alone take to do the work?

Books in three shelves of an almirah in library are in the ratio 2:3:5 If 20 books are increased on each shelf, the ratio change to 4:5:7. Originally how many books were there in the almirah?

In four halls there are 168 teachers attending a seminar such that the ratio of teachers sitting In rooms I, II, III & IV are as follows I:II =8:9, II:III = 3:4, III:IV = 12:13. What will be the number of teachers in each hall?

Find third proportional of 9 & 12

Decrease of 25% in Rs 500 will give a total of

A takes 50 minutes during a journey. If he reduce time taken by 20% then he has to complete the same journey in-

A & B working together can finish a work in 24 days. The same work can be finished by B & C working together in 30days. If C & A work together they can finish the same work in 40days. The number of days A, B & C separately can finish are

A can do a piece of work in 12 days & B can in 20 days. B begins the work & after 4 days is joined by A. how long will they take to finish the remaining work?

The average temperature on Monday, Tuesday and Wednesday was 36 degrees C. Average temperature on Tuesday, Wednesday and Thursday was 38 deg. C. If the temperature on Thursday was 37 deg. C, then the temperature on Monday was

The average of 5 consecutive numbers is n. If the next two numbers are also included, the average will

The answer graph shows sales of fiction comics published by a company in various cities. Answer the questions based on the graph. Total sale of fiction comics in the branches of New Delhi, Chennai and Bhopal, together for both the years is

The answer graph shows sales of fiction comics published by a company in various cities. Answer the questions based on the graph. What percentage of the total sales of fiction comics for Chennai for both years is the total sale of Jaipur for both years (approximately)?

The answer graph shows sales of fiction comics published by a company in various cities. Answer the questions based on the graph. In which city did the sale of fiction comic decrease in second year?

The answer graph shows sales of fiction comics published by a company in various cities. Answer the questions based on the graph. Which two cities had equal sales in year 2011?

Read the following passage and answer the questions that follow: Heat is the form of energy that is manifested in terms of temperature. It flows between two systems or within a system due to temperature difference. That is the reason that when one talks about thermal properties of matter, temperature and heat go hand in hand. Temperature is measured by a thermometer, a device based on the principles of thermal expansion of material. Thermometers are calibrated in order to assign a numerical value to a given temperature. Like any other standard measurement, it necessitates two fixed reference points. For thermometers, these reference points are freezing point and boiling point of water. The two commonly used scales are: Fahrenheit and Celsius scale. The freezing and boiling point of water are \({32^\circ }F\) and \({212^\circ }F\), respectively on Fahrenheit scale, and \({0^\circ }C\) and \({100^\circ }C\), respectively on Celsius scale. The relationship of conversion between these two scales can be obtained as: \(\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{F) - freezing}}\;{\text{point }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{{{\text{Intervals}}\,{\text{between}}\,{\text{two}}\,{\text{reference}}\,{\text{points }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{\text{ = }}\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{C) - freezing point }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}{{{\text{Intervals between two reference points }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}\) Two thermometers A1 and A2 use different measurement scales (X and Y). A1 shows boiling point of water 220X and freezing point of water 20X and A2 shows boiling point of water 120Y and freezing point of water -40Y. if thermometer A1 measures temperature of a substance as 100X, find the value that thermometer A2 shows.

Read the following passage and answer the questions that follow: Heat is the form of energy that is manifested in terms of temperature. It flows between two systems or within a system due to temperature difference. That is the reason that when one talks about thermal properties of matter, temperature and heat go hand in hand. Temperature is measured by a thermometer, a device based on the principles of thermal expansion of material. Thermometers are calibrated in order to assign a numerical value to a given temperature. Like any other standard measurement, it necessitates two fixed reference points. For thermometers, these reference points are freezing point and boiling point of water. The two commonly used scales are: Fahrenheit and Celsius scale. The freezing and boiling point of water are \({32^\circ }F\) and \({212^\circ }F\), respectively on Fahrenheit scale, and \({0^\circ }C\) and \({100^\circ }C\), respectively on Celsius scale. The relationship of conversion between these two scales can be obtained as: \(\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{F) - freezing}}\;{\text{point }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{{{\text{Intervals}}\,{\text{between}}\,{\text{two}}\,{\text{reference}}\,{\text{points }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{\text{ = }}\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{C) - freezing point }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}{{{\text{Intervals between two reference points }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}\) Liquid nitrogen is a cryogenic fluid that boils at \( - {196^\circ }C\), at atmospheric pressure. What will be the value of this temperature in Fahrenheit scale?

Read the following passage and answer the questions that follow: Heat is the form of energy that is manifested in terms of temperature. It flows between two systems or within a system due to temperature difference. That is the reason that when one talks about thermal properties of matter, temperature and heat go hand in hand. Temperature is measured by a thermometer, a device based on the principles of thermal expansion of material. Thermometers are calibrated in order to assign a numerical value to a given temperature. Like any other standard measurement, it necessitates two fixed reference points. For thermometers, these reference points are freezing point and boiling point of water. The two commonly used scales are: Fahrenheit and Celsius scale. The freezing and boiling point of water are \({32^\circ }F\) and \({212^\circ }F\), respectively on Fahrenheit scale, and \({0^\circ }C\) and \({100^\circ }C\), respectively on Celsius scale. The relationship of conversion between these two scales can be obtained as: \(\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{F) - freezing}}\;{\text{point }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{{{\text{Intervals}}\,{\text{between}}\,{\text{two}}\,{\text{reference}}\,{\text{points }}{{\text{(}}^{\text{^\circ }}}{\text{F)}}}}{\text{ = }}\frac{{{\text{Temperature }}{{\text{(}}^{\text{^\circ }}}{\text{C) - freezing point }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}{{{\text{Intervals between two reference points }}{{\text{(}}^{\text{^\circ }}}{\text{C)}}}}\) Liquid nitrogen freezes at \( - {210^\circ }C\). What is the state of Nitrogen gas at \({0^\circ }C\)?

One of the visible effects of temperature is change in size or dimension. Most substances expand on heating and contract on cooling. Increase in dimension due to temperature is called thermal expansion and named as linear expansion, area expansion and volume expansion, depending upon the shape of the object. For example, if the object is a thin rod the linear expansion or fractional change in the length is directly proportional to the change in temperature. The ratio of change in the length in length / area / volume : original length / area / volume, for 1 degree change in temperature is called coefficient of expansion. To know how much a rod will increase in length by change in temperature, following equation is used. Coefficient of linear expansion of aluminium is twice the value for Iron. Two 5 cm long thin rods, one each of Iron and Aluminium were heated from \({30^\circ }C\) to \({300^\circ }C\). What will be the ratio of their lengths at \({300^\circ }C\)?