Practice Mock Test for SNAP - 13 - CAT

There are 6 tickets to the theatre, four of which are for seats in the front row. 3 tickets are selected at random. What is the probability that two of them are for the front row?

When 75% of a number is added to 75, the result is the same number. The number is

Anne travelled 4/7^th as many miles on foot as by water and 2/5^th as many miles on horse back as by water. If she covered a total of 3036 miles, how many miles did she travel in each manner: water, foot and horseback respectively?

A family has several children. Each boy in the family has as many sisters as brothers. Each girl has twice as many brothers as sisters. How many brothers & sisters are there?

You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles in these two jars. The jars will then be shaken & you will be asked to pick one marble from either jar. How would you distribute the marbles in two jars if you are to maximize the possibility of picking a white marble blind folded?

The number plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate was turned upside down. The bus company had only five hundred buses numbered from 1 to 500. What was the number?

If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?

Recently my brother and I played chess for chocolates. Who ever lost the game gave the other a chocolate. After the last game we counted the chocolates. I had 20 more chocolates than I started with, although he won 7 games. There were no draws. How many games did we play ?

Imagine you have two large pitchers, A & B. A contains 10 liters of wine and B contains 10 liters of water. One liter of water is removed from B and poured into A. The liquid is mixed very well. Then one liter of the mixture from A is poured into B. Which of the following statements is true?

Anand, Binoy, Chetan and Dharma together have Rs.47 with them. Anand & Binoy together have Rs.27; Chetan & Anand have Rs.25 and Dharma & Anand have Rs.23. How much money does Binoy have?

David gets on the elevator at the 11^th floor of a building and rides up at the rate of 57 floors per minute. At the same time Albert gets on an elevator at the 51^stfloor of the same building and rides down at the rate of 63 floors per minute. If they continue traveling at these rates, then at which floor will their elevators meet?

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

Find the wrong term in the following sequence: 52, 51, 48, 43, 34, 27, 16

P is six times as large as Q. By what percent is Q less than P?

When a heap of pebbles is grouped in 32, 40 or 72 it is left with remainders of 10, 18, 50 respectively. What is the minimum number of pebbles that the heap contains?

Each of the series S1 = 2 + 4 + 6 + ……… and S2 = 3 + 6 + 9 + ……… is continued to 100 terms. How many terms of both the series are identical?

Ram Singh goes to Pushkar Mela with Rs. 10000/- to buy exactly 100 animals. He finds that Cows are sold at Rs. l000/-each, Horses at Rs.300/-each and Chickens at Rs.50/-each. How many Chickens should he buy to meet his target of 100 animals?

Fill in '+' or '-' sign in between these numbers so that they give the correct answer.

1      2³      3³      1      4³ = 31

Symbiosis runs a Corporate Training Programme. At the end of running the first programme its total takings were Rs. 38950/-. There were more than 45 but less than 100 participants. What was the participant fee for the programme?

Complete the series 1, 6, 6, 36, 216, ………….

Three friends had a dinner at a restaurant. When the bill was received Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What fraction of the bill did Veena pay?

128 players start in the men's singles at a tennis tournament, where in this number reduces to half on every succeeding round. How many matches are played totally in the event?

A crew can row 10 miles in 5/6^th of an hour downstream and 12 miles upstream in 90 minutes. Find the crew's rate in still water and the current’s rate respectively.

If Swamy has two children and he truthfully answers yes to the question "Is at least one of your children a girl?" what is the probability that both his children are girls?

Starting from his house one day, a student walks at a speed of 2 ½ kmph and reaches his school 6 minutes late. Next day he increases his speed by 1 kmph and reaches his school 6 minutes early. How far is the school from the house?

Direction (Q. 30 - 31): Study the sector wise sales of a group of companies for financial year 2004 -2005 and the answer following question.

Q. This group of companies operates in multiple sectors. The holding company has decided to closely monitor minimum number of sectors (not exceeding 5) contributing together a major part (at least 80%) of sales of the group. Identify the correct set of sectors.

Study the sector wise sales of a group of companies for financial year 2004 -2005 and the answer following question.

Q. The average profit against the sales across the sectors is 10% while the profit margin of Engineering is 12% and CIS, 20%. What is the average profit across the remaining sectors?​

Direction (Q. ) Read the following information and answer the question that follows.

The car industry in india is divided in to two typs of cars - small size and mediuam size cars. Total car sales in 2009-10 were 224250 and small size car sales comprised 80% of the total car sales. all car manufactured in a year are sold in the same year leading to zero inventory carrying costs. Tata manufactured only mediuam size cars. Among the medium size cars, I-10 is manufactured by Hyundai only. Hyundai manufactured no other medium size car

Q. If in the smaller car segment, Hyundai holds 80% of the market share, then the total number of cars manufactured by Hyundai in 2009-10 is?

The car industry in india is divided in to two typs of cars - small size and mediuam size cars. Total car sales in 2009-10 were 224250 and small size car sales comprised 80% of the total car sales. all car manufactured in a year are sold in the same year leading to zero inventory carrying costs. Tata manufactured only mediuam size cars. Among the medium size cars, I-10 is manufactured by Hyundai only. Hyundai manufactured no other medium size car

Q. If the total manufacturing capacity of Tata (the company manufacturing Nano) in 2009-10, is 70,000, its capacity utilization (percentage) in 2009-10 is

The car industry in india is divided in to two typs of cars - small size and mediuam size cars. Total car sales in 2009-10 were 224250 and small size car sales comprised 80% of the total car sales. all car manufactured in a year are sold in the same year leading to zero inventory carrying costs. Tata manufactured only mediuam size cars. Among the medium size cars, I-10 is manufactured by Hyundai only. Hyundai manufactured no other medium size car

Q. If the growth rate of the medium size car market in 2009-10 is estimated to be 40% over previous year, find the number of Ritz cars (medium size only) sold in the year 2008-09.

The car industry in india is divided in to two typs of cars - small size and mediuam size cars. Total car sales in 2009-10 were 224250 and small size car sales comprised 80% of the total car sales. all car manufactured in a year are sold in the same year leading to zero inventory carrying costs. Tata manufactured only mediuam size cars. Among the medium size cars, I-10 is manufactured by Hyundai only. Hyundai manufactured no other medium size car

Q. The total decrease in the central angle of the sector corresponding to Spark and Ritz taken together in 2009-10 over 2008-09 is nearly

DIRECTIONS for the question: Solve the following question and mark the best possible option.

In a class of 120 students 70 like to play volleyball, 60 like to play hockey and 60 like to play cricket. The number of students playing all three games is 20.No student who plays both volleyball and cricket hates hockey whereas there are 30 students who like to play both volleyball and hockey and 30 students who like to play hockey and cricket. Find the ratio of the number of students playing only volleyball to the number of students playing only hockey?

The parliament of a country is selected from a core group. It also allows a few members to be part of both the lower and upper houses. Exactly 90 people are members of both houses, 164 of exactly one of the house and 52 of neither house. How many members are there in the core group?

Find the number of digits in 1750¹⁶, given log 2 = 0.3010, log 7 = 0.8451.

The average age of 10 persons in a committee is increased by one year when 2 women aged 40 years and 45 years are substituted by 2 men. Find the average age of these two men.

DIRECTIONS for the question: Read the passage and answer the question based on it.

Consider Yahoo’s decision in 2005 when it surrendered to Chinese authorities the names of Chinese dissidents who had used Yahoo e-mail, thinking their e-mail addresses would shield their anonymity. One journalist was sentenced to ten years in prison for sharing with foreigners a message his newspaper had received from Chinese authorities, urging it not to overplay the fifteenth anniversary of the Tiananmen Square disturbances. Another whom Yahoo helped Chinese authorities track down was sentenced to eight years, and a third, to four years. It remains unclear how many dissidents are in Chinese prisons because of Yahoo’s cooperation with Chinese authorities.

Yahoo’s decision ignited a temporary firestorm in the United States. Its executives explained that the firm had no choice but to comply with Chinese law if it wanted access to China’s huge and growing market, - and Yahoo said it needed to be in China to move China toward democracy. “I’ve always taken the attitude that you’re better off playing by the government’s rules and getting there,” Yahoo’s chairman told attendees at a Web conference in San Francisco, “Part of our role in any form of media is to get whatever we can into those countries and to show and enable people, slowly, to see the Western way and what our culture is like, and to learn.” Yahoo’s role? The firm was never anointed the vessel of Western culture nor the arbiter of how best to present it to China. That’s not the business of any global company. Indeed, most global companies do everything in their power to avoid the appearance of representing any particular culture, nationality, or ideology – unless such representations help them sell the products.

Both sides of this moralistic debate – reflect a fundamental misunderstanding of the role of the modern corporation in a democracy. Yahoo is not a moral entity, and no one authorized it to undertake any ethical balancing between sending dissidents to prison and exposing the Chinese to American culture and democracy. Yahoo’s executives have only one responsibility under super capitalism – to make money for their shareholders and, along the way, satisfy their consumers. In this instance, one of Yahoo’s key “consumers” was the Chinese government, because it was the gateway to all other Chinese consumers. Unless barred by legislation in the United States, Yahoo will continue to do whatever the Chinese government demands of it because the competitive stakes are too high and the potential profits too great to do otherwise. China is the second-largest Internet market in the world after the United States. As of 2006, more than 100 million Chinese had already logged on. At the rate the internet usage is growing there, within a few years there will be more Chinese on the Internet than Americans.

Google also found itself on the hot seat when it created for the Chinese authorities a censored version of its search engine, removing such incendiary words as “human rights” and “democracy”. I think it’s arrogant for us to walk into a country where we are just beginning operations and tell that country how to run itself,” Eric Schmidt Google’s chief executive, told reporters from foreign news organisations. But Google’s decision to cooperate with China had nothing to do with arrogance or modesty. Like Yahoo’s, it was all about profits, as it had to be. A few days before revelations about the firms complicity with Chinese authorities, Google displayed heroic arrogance toward the United States government, which had demanded from Google information about child pornography searches conducted on Google’s Web site, plus a random sample of a million Web searches. The U.S. government was trying to build a case for reinstating the Child Online Protection Act, which the Supreme Court had ruled to be overly broad in violation of the First Amendment. Google refused to cooperate.

Excerpted from “Supercapitalism, The transformation of Business, Democracy, and Everyday Life” by Robert Reich

Q. Referring to the last line of the second paragraph, which of the following would represent an instance of a company which would benefit by associating with a particular culture?

DIRECTIONS for the question: Answer the question on the basis of the following information.

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with 2 kids came just before the family with no kids.

Shanthi who does not have any kids reached just before Sridevi's family.

Sunil and his wife reached last with their only kid.

Anil is not the husband of Joya.

Anil and Raj are fathers.

Sridevi's and Anita's daughters go to the same school.

Joya came before Shanthi and met Anita when she reached the venue.

Raman stays the farthest from the venue.

Raj said his son could not come because of his exams.

Q. Which woman arrived third?

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with 2 kids came just before the family with no kids.

Shanthi who does not have any kids reached just before Sridevi's family.

Sunil and his wife reached last with their only kid.

Anil is not the husband of Joya.

Anil and Raj are fathers.

Sridevi's and Anita's daughters go to the same school.

Joya came before Shanthi and met Anita when she reached the venue.

Raman stays the farthest from the venue.

Raj said his son could not come because of his exams.

Name the correct pair of husband and wife?

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with 2 kids came just before the family with no kids.

Shanthi who does not have any kids reached just before Sridevi's family.

Sunil and his wife reached last with their only kid.

Anil is not the husband of Joya.

Anil and Raj are fathers.

Sridevi's and Anita's daughters go to the same school.

Joya came before Shanthi and met Anita when she reached the venue.

Raman stays the farthest from the venue.

Raj said his son could not come because of his exams.

Q. Of the following pairs, whose daughters go to the same school?

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with 2 kids came just before the family with no kids.

Shanthi who does not have any kids reached just before Sridevi's family.

Sunil and his wife reached last with their only kid.

Anil is not the husband of Joya.

Anil and Raj are fathers.

Sridevi's and Anita's daughters go to the same school.

Joya came before Shanthi and met Anita when she reached the venue.

Raman stays the farthest from the venue.

Raj said his son could not come because of his exams.

Q. Whose family is known to have more than one kid for certain?

DIRECTIONS for the question: Answer the question on the basis of the following information.

Eight adjacent offices completely enclose a circular central courtyard. The offices are numbered consecutively, beginning at one of the offices with 1 and proceeding clockwise to 8. Eight junior executives – J, K, L, M, N, O, P and R – are to occupy the offices, one to an office.

The assignment of offices is subject to the following restrictions:

(i) J is allowed first choice of any of the offices.
(ii) K and P must be assigned to adjacent offices.
(iii) L and P must be assigned to adjacent offices.
(iv) M and O must be assigned to adjacent offices.
(v) M and N cannot be assigned to adjacent offices.
(vi) O is assigned to office 2 unless J chooses it; in that case, O will be assigned to office 3.
(vii) K is assigned to office 7 unless J chooses it; in that case, K will be assigned to office 5.

Q. Which of the following is an assignment of executives to offices, beginning with office 1 and   proceeding consecutively to office 8, that conforms to the restrictions above?

Eight adjacent offices completely enclose a circular central courtyard. The offices are numbered consecutively, beginning at one of the offices with 1 and proceeding clockwise to 8. Eight junior executives – J, K, L, M, N, O, P and R – are to occupy the offices, one to an office.

The assignment of offices is subject to the following restrictions:

(i) J is allowed first choice of any of the offices.
(ii) K and P must be assigned to adjacent offices.
(iii) L and P must be assigned to adjacent offices.
(iv) M and O must be assigned to adjacent offices.
(v) M and N cannot be assigned to adjacent offices.
(vi) O is assigned to office 2 unless J chooses it; in that case, O will be assigned to office 3.
(vii) K is assigned to office 7 unless J chooses it; in that case, K will be assigned to office 5.

Q. If J chooses office 8, which of the following must be true?

Eight adjacent offices completely enclose a circular central courtyard. The offices are numbered consecutively, beginning at one of the offices with 1 and proceeding clockwise to 8. Eight junior executives – J, K, L, M, N, O, P and R – are to occupy the offices, one to an office.

The assignment of offices is subject to the following restrictions:

(i) J is allowed first choice of any of the offices.
(ii) K and P must be assigned to adjacent offices.
(iii) L and P must be assigned to adjacent offices.
(iv) M and O must be assigned to adjacent offices.
(v) M and N cannot be assigned to adjacent offices.
(vi) O is assigned to office 2 unless J chooses it; in that case, O will be assigned to office 3.
(vii) K is assigned to office 7 unless J chooses it; in that case, K will be assigned to office 5.

Q. P could be assigned to which of the following offices?

DIRECTIONS for the question: The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.

Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.

Q. The possible position of Mr. Alamkhir is

The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.

Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.

Q. The product of Black house is

The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.

Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.

Q. Which of the following is a possible combination of the Red, the second house?