Class 11 PSA Quantitative Reasoning Test

Tahir and Gagan rode in a 150 km bicycle race. The race was held on a 20 km track. Tahir averaged 30 km/h while Gagan averaged 15 km/h. How many times did Tahir pass Gagan during the race?

At 8:45 p.m. Saturday in Bangalore it is 10:15 am. Saturday in New York. Ravi wishes to ring his friend in New York at 7 am Sunday New York time. When should Ravi ring from Bangalore?

Trout are bred in a tank as fish for restaurants. Twenty trout are caught and each is tagged through the tail then released back into the tank. A week later, thirty trout are caught and it is found that two of them have a tail tag. Base on this evidence alone, what estimate can be made of the total number of trout in the tank?

The One Rupee coin weighs 4.85 g. Haji has a 2 kg bag of One Rupee coins. What is the value of this bag of coins?

Mrs. Ali gave a different number of apples to each of her live children. Any three of her children together received more apples than remaining two children. What is the least number of apples that Mrs. Ali could have given to one of her children?

Ravi sold his bicycle for Rs 1170. This was 10% less than he paid for it. How much did he pay for the bicycle?

In a 100 page book, pages 2 and 3 face each other. Similarly, pages 4 and 5 and 6 and 7 face each other. This pattern is repeated to the end of the book. The sum of two facing pages could be

In a car park, there are 2 white cars for every 3 blue cars and for every 2 blue cars there are 5 silver cars. What is the least number of cars in the car park?

Arni bought a piece of timber that is 280 cm long. He wants to cut it into two pieces. The shorter piece needs to be 75% of the length of the longer piece. How long will the shorter piece be?

Four small boys want to know their weights, but the weighing machine only weighs objects more than 40 kg. As each of the boys knows that his weight is less than this, they weigh themselves two at a time. The results of all possible paired weighing are: 48 kg, 49 kg, 52 kg, 53 kg, 56 kg and 57 kg. Mohinda, the tallest of the four boys, weighs the most. What does he weigh?

Read the following passage and answer the questions that follow: Ozone is present throughout the troposphere and stratosphere. Figure 1 shows how ozone concentration changes with altitude in tropics. Most of the ozone is confined to stratosphere. Thickness of the layer varies with the season and the reason. In troposphere, near the ground surface concentration is comparatively higher due to pollutants, like Chloro Fluro Carbons (CFCs). Air is lighter than CFC, because its main components oxygen and nitrogen are gases with lower molecular weight. But distribution of these gases is not controlled by their molecular weight due to continuous movement of air and convection currents. Due to upward movement of air, well mixed air with CFC as one of its components enters stratosphere. Ozone destruction cycle in atmosphere has been depicted by figure 2. Why is ozone concentration higher near the ground?

Read the following passage and answer the questions that follow: Ozone is present throughout the troposphere and stratosphere. Figure 1 shows how ozone concentration changes with altitude in tropics. Most of the ozone is confined to stratosphere. Thickness of the layer varies with the season and the reason. In troposphere, near the ground surface concentration is comparatively higher due to pollutants, like Chloro Fluro Carbons (CFCs). Air is lighter than CFC, because its main components oxygen and nitrogen are gases with lower molecular weight. But distribution of these gases is not controlled by their molecular weight due to continuous movement of air and convection currents. Due to upward movement of air, well mixed air with CFC as one of its components enters stratosphere. Ozone destruction cycle in atmosphere has been depicted by figure 2. Which of the following is NOT true?

Read the following passage and answer the questions that follow: Ozone is present throughout the troposphere and stratosphere. Figure 1 shows how ozone concentration changes with altitude in tropics. Most of the ozone is confined to stratosphere. Thickness of the layer varies with the season and the reason. In troposphere, near the ground surface concentration is comparatively higher due to pollutants, like Chloro Fluro Carbons (CFCs). Air is lighter than CFC, because its main components oxygen and nitrogen are gases with lower molecular weight. But distribution of these gases is not controlled by their molecular weight due to continuous movement of air and convection currents. Due to upward movement of air, well mixed air with CFC as one of its components enters stratosphere. Ozone destruction cycle in atmosphere has been depicted by figure 2. What can be considered as the beginning of the destruction cycle?

Read the following passage and answer the questions that follow: Ozone is present throughout the troposphere and stratosphere. Figure 1 shows how ozone concentration changes with altitude in tropics. Most of the ozone is confined to stratosphere. Thickness of the layer varies with the season and the reason. In troposphere, near the ground surface concentration is comparatively higher due to pollutants, like Chloro Fluro Carbons (CFCs). Air is lighter than CFC, because its main components oxygen and nitrogen are gases with lower molecular weight. But distribution of these gases is not controlled by their molecular weight due to continuous movement of air and convection currents. Due to upward movement of air, well mixed air with CFC as one of its components enters stratosphere. Ozone destruction cycle in atmosphere has been depicted by figure 2. Where is thickness of the ozone layer maximum?

Read the following passage and answer the questions that follow: Geneticists are keen to investigate the behaviour of genes in a population, because it is in the population of individuals that the future of many genes is decided. For example, reproductive ability of a gene ‘X’ present in an individual carrying this gene would depend on fitness of X, frequency of X in the population, genetic constitution of other individuals in the population, etc. Thus, although X is present inside and individual, its properties depend on population as a whole. In genetic sense, population means a group of sexually reproducing and cross fertilizing organisms. If there is a gene A that exists in two diverse forms \({A_1}\)and \({A_2}\), there are chances of three types of individuals (genetic constitution with respect to this gene) in a population: \({A_1}{A_1},{A_1}{A_2}\) and \({A_2}{A_2}\). Number of each type of individuals expressed as decimal or percentage is genotypic frequency. Suppose, there are 100 individuals in a population, out of which 60 are \({A_1}{A_1}\) type, 26 are \({A_1}{A_2}\) type and the remaining 14 are \({A_2}{A_2}\) type. Their genotypic frequencies are 0.60, 0.26 and 0.14, respectively. A researcher recorded genotypic frequencies for 4 different populations as: What is the value of ‘?’?

Read the following passage and answer the questions that follow: Geneticists are keen to investigate the behaviour of genes in a population, because it is in the population of individuals that the future of many genes is decided. For example, reproductive ability of a gene ‘X’ present in an individual carrying this gene would depend on fitness of X, frequency of X in the population, genetic constitution of other individuals in the population, etc. Thus, although X is present inside and individual, its properties depend on population as a whole. In genetic sense, population means a group of sexually reproducing and cross fertilizing organisms. If there is a gene A that exists in two diverse forms \({A_1}\)and \({A_2}\), there are chances of three types of individuals (genetic constitution with respect to this gene) in a population: \({A_1}{A_1},{A_1}{A_2}\) and \({A_2}{A_2}\). Number of each type of individuals expressed as decimal or percentage is genotypic frequency. Suppose, there are 100 individuals in a population, out of which 60 are \({A_1}{A_1}\) type, 26 are \({A_1}{A_2}\) type and the remaining 14 are \({A_2}{A_2}\) type. Their genotypic frequencies are 0.60, 0.26 and 0.14, respectively. A researcher recorded genotypic frequencies for 4 different populations as: Later on the researcher noticed some calculation error in the genotypic frequencies for one of the populations. The error was with.

Read the following passage and answer the questions that follow: Geneticists are keen to investigate the behaviour of genes in a population, because it is in the population of individuals that the future of many genes is decided. For example, reproductive ability of a gene ‘X’ present in an individual carrying this gene would depend on fitness of X, frequency of X in the population, genetic constitution of other individuals in the population, etc. Thus, although X is present inside and individual, its properties depend on population as a whole. In genetic sense, population means a group of sexually reproducing and cross fertilizing organisms. If there is a gene A that exists in two diverse forms \({A_1}\)and \({A_2}\), there are chances of three types of individuals (genetic constitution with respect to this gene) in a population: \({A_1}{A_1},{A_1}{A_2}\) and \({A_2}{A_2}\). Number of each type of individuals expressed as decimal or percentage is genotypic frequency. Suppose, there are 100 individuals in a population, out of which 60 are \({A_1}{A_1}\) type, 26 are \({A_1}{A_2}\) type and the remaining 14 are \({A_2}{A_2}\) type. Their genotypic frequencies are 0.60, 0.26 and 0.14, respectively. A researcher recorded genotypic frequencies for 4 different populations as: Proportion of \({A_1}\) and \({A_2}\) in a population is called gene frequency. Sum of gene frequencies for a gene is also 1 or 100. Let us take the example of gene \({A_1}\) in the above paragraph. Every individual carries 2 genes, so the total number of genes in sample of 100 individuals would be 200. In 60 individuals with \({A_1}{A_1}\) genetic constitution, number of \({A_1}\) =2X 60=120. In 26 individuals with genetic constitution \({A_1}{A_2}\), number of \({A_1}\) =26. Therefore, the gene frequency of in the population = 0.73, or 70%. What is the gene frequency of \({A_2}\)?

Read the following passage and answer the questions that follow: Geneticists are keen to investigate the behaviour of genes in a population, because it is in the population of individuals that the future of many genes is decided. For example, reproductive ability of a gene ‘X’ present in an individual carrying this gene would depend on fitness of X, frequency of X in the population, genetic constitution of other individuals in the population, etc. Thus, although X is present inside and individual, its properties depend on population as a whole. In genetic sense, population means a group of sexually reproducing and cross fertilizing organisms. If there is a gene A that exists in two diverse forms \({A_1}\)and \({A_2}\), there are chances of three types of individuals (genetic constitution with respect to this gene) in a population: \({A_1}{A_1},{A_1}{A_2}\) and \({A_2}{A_2}\). Number of each type of individuals expressed as decimal or percentage is genotypic frequency. Suppose, there are 100 individuals in a population, out of which 60 are \({A_1}{A_1}\) type, 26 are \({A_1}{A_2}\) type and the remaining 14 are \({A_2}{A_2}\) type. Their genotypic frequencies are 0.60, 0.26 and 0.14, respectively. A researcher recorded genotypic frequencies for 4 different populations as: A study on blood types in a population found the following genotypic distribution among the people sampled: 1000 were MM, 1500 were MN and 500 were NN. What are the gene frequencies of M and N?