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Practice Mock Test for SNAP - 13 - CAT MCQ


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30 Questions MCQ Test - Practice Mock Test for SNAP - 13

Practice Mock Test for SNAP - 13 for CAT 2024 is part of CAT preparation. The Practice Mock Test for SNAP - 13 questions and answers have been prepared according to the CAT exam syllabus.The Practice Mock Test for SNAP - 13 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Mock Test for SNAP - 13 below.
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Practice Mock Test for SNAP - 13 - Question 1

Milk & Water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C, maintaining half milk & half water?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 1

Let the volume of vessel A be x. Thus it has 4/7 parts milk. Let the volume of vessel B be y. It has 2/5 parts milk.

Thus 4/7 x + 2/5 y = ½ (x+y).  Solving we get the ratio as 7:5.

Practice Mock Test for SNAP - 13 - Question 2

A picture was bought at a certain sum, which was equal to the price paid for its frame. Had the frame cost Rs. 100/- less and the picture Rs. 75/- more, the price for the frame would have been only half of that of the picture. What is the price of the frame (in Rs.)?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 2

Let the price of frame is x. Then we have the equation x – 100 = ½ (x + 75). Thus x = 275.

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Practice Mock Test for SNAP - 13 - Question 3

What is the closest time between 7 & 8 when the hands of your watch are exactly opposite each other?

Practice Mock Test for SNAP - 13 - Question 4

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 4

4C2  ×  2C1 )/ 6C= 0.6. Hence 1st option.

Practice Mock Test for SNAP - 13 - Question 5

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 5

75% of X + 75 = X. Thus, X = 300. Other way is to treat 75 as 25% of the original no. i.e. 300.

Practice Mock Test for SNAP - 13 - Question 6

Anne travelled 4/7th as many miles on foot as by water and 2/5th 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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 6

Let the distance covered by water is  W.

Then the equation is 4/7 W + 2/5 W + W = 3036.

Hence, W = 1540.

Distance travelled on Foot = 4/7×1540 = 880,

Distance travelled on Horse back 2/5×1540 = 616.

Hence, the correct answer is option C.

Practice Mock Test for SNAP - 13 - Question 7

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 7

We can solve this question by just checking the options for the given condition.Taking option III i.e. 4 brothers and 3 sisters the given conditions are satisfied.

Practice Mock Test for SNAP - 13 - Question 8

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 8

Picking the options:

Option I; ½ × 25/50 + ½ × 25/50 = ½ .

Option II; ½ × 1 + ½ × 49/99 = > ½ .

Option III; ½ × 50/50 + ½ × 0/50 = ½ .

Option IV; ½ × 50/100 + ½ × 0 = ¼ .

Hence, the correct answer is option B.

Practice Mock Test for SNAP - 13 - Question 9

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 9

196 is such a number which on being reversed becomes 961.

Hence, the correct answer is option C.

Practice Mock Test for SNAP - 13 - Question 10

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 10

5 spiders can catch 5 flies in 5 minutes. One spider can catch 1 fly in 5 minutes.

Or One spider requires 5 minutes to catch one fly. One spider can catch 20 flies in 100 minutes.

Thus 100 spiders can catch 2000 flies in 100 min.

Hence, the correct answer is option D.

Practice Mock Test for SNAP - 13 - Question 11

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 ?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 11

Let us say I won x games and lost y games. Thus x – y = 20. If I lost y, my brother won y i.e. 7. Thus x = 27. Thus total games played 27 + 7 = 34.

Practice Mock Test for SNAP - 13 - Question 12

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 12

= (51/4) × (53)1/4

= (51/4) × (5)3/4

= 51/4 + 3/4

=51

Practice Mock Test for SNAP - 13 - Question 13

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 13

Since the overall volumes have not changed and the liquids have merely swapped places, the volume of each liquid removed is equally replaced by other liquid. Hence their presence would be same in both.

Hence, the correct answer is option C.

Practice Mock Test for SNAP - 13 - Question 14

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 14

We have A + B + C + D = 47, A+B = 27, A+C = 25, A+D = 23. Add the last three equations to get 3A + B + C + D = 27+25+23 = 75. Solving now we get A = 14. Thus B = 13.

Practice Mock Test for SNAP - 13 - Question 15

David gets on the elevator at the 11th 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 51stfloor 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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 15

The relative speed is 57 + 63 = 120 floors per minute. The difference between both the floors is 40. Thus it will take 1/3rd of the minute to meet. In 1/3rd minute David will travel 57/3 = 19 floors. Thus they will meet at 11 + 19 = 30th floor.

Practice Mock Test for SNAP - 13 - Question 16

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 16

If average of 5 consecutive terms is n, then average of (n+2) terms will be (n+1).

Hence, the correct answer is option B.

Practice Mock Test for SNAP - 13 - Question 17

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 17

The difference between consecutive terms is -1,-3,-5,-7. . .and so on.

In this way, 34 is a misfit, which should be replaced by 36.

Therefore, the correct answer is option B.

Practice Mock Test for SNAP - 13 - Question 18

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 18

Since Q is 1/6th of P, it is 5/6 less than P. Hence 83 1/3 %.

Practice Mock Test for SNAP - 13 - Question 19

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 19

When we look individually at the numbers and their remainders, we can say a remainder of (- 22) is the common to all.

Therefore, No. =  LCM (32, 40 and 72) - 22 = 1440 – 22 = 1418.

Practice Mock Test for SNAP - 13 - Question 20

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 20

Comparing the series we come to know that we are looking for the common multiples of 2 & 3 till 200 i.e multiples of 6 till 200. Hence 33 is correct

Practice Mock Test for SNAP - 13 - Question 21

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 21

As there will be primarily two equations and three variables, the question has to be solved by using options only. Trying one by one when you will use the second option, i.e. the no. of chickens to be 94, then we spent 4700 on chickens. If we buy one  horse for  Rs 300 and five cows for Rs 5000. In this way we bought total 100 animals for Rs 10,000.

Hence, the correct answer is option B.

Practice Mock Test for SNAP - 13 - Question 22

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

1      23      33      1      43 = 31

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 22

Using options, 1  -   23 -    33  +  1  +   43 = 31

Hence, the correct answer is option C.

Practice Mock Test for SNAP - 13 - Question 23

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 23

Let the fee be n.Then 38950/n should be an integer which will be equal to the number of participants and should be between 45 and 100.

Using options we get 38950/410 = 95.Thus, the correct answer is option A.

Practice Mock Test for SNAP - 13 - Question 24

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

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 24

The series is progressing by multiplying the present number with the previous number. Hence the next term would be 36 × 216 = 7776.

Practice Mock Test for SNAP - 13 - Question 25

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 25

Practice Mock Test for SNAP - 13 - Question 26

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 26

If there is one winner out of 128 people, there are 127 losers. Thus to lose 127 matches,127 matches have to be played.

Practice Mock Test for SNAP - 13 - Question 27

A crew can row 10 miles in 5/6th 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.

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 27

His downstream speed is 12 mph and 8 mph upstream. Thus the speed of boat is (12+8)/2 = 10 mph & speed of stream is (12-8)/2 = 2 mph.

Practice Mock Test for SNAP - 13 - Question 28

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 28

Favourable case = 1, Possible cases = 2. Thus probability =  1/2.

Practice Mock Test for SNAP - 13 - Question 29

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?

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 29

Let the distance be D. Thus (D / 2.5) – (D / 3.5) = (12 / 60)
=> (70D - 50D) / 175 = 1 / 5;
=> D = 175 / 100
=> D = 1 ¾ km

Practice Mock Test for SNAP - 13 - Question 30

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.

Detailed Solution for Practice Mock Test for SNAP - 13 - Question 30

We can see that the largest contributing sectors are Engineering (31.2), Materials (21), CIS (18.9), Services(10.1).

Hence, the correct answer is option C.

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