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SNAP Mock Test - 7 (New Pattern) - CAT


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60 Questions MCQ Test Mock Test Series for SNAP - SNAP Mock Test - 7 (New Pattern)

SNAP Mock Test - 7 (New Pattern) for CAT 2023 is part of Mock Test Series for SNAP preparation. The SNAP Mock Test - 7 (New Pattern) questions and answers have been prepared according to the CAT exam syllabus.The SNAP Mock Test - 7 (New Pattern) MCQs are made for CAT 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SNAP Mock Test - 7 (New Pattern) below.
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SNAP Mock Test - 7 (New Pattern) - Question 1

Directions: Fill in the blank by choosing the right preposition from the given alternatives.

Q. The motorway linking Macedonia ______ Greece has also been renamed the Friendship Highway.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 1
To show connection between places or things we use 'with'. So, correct phrase will be 'linking Macedonia with Greece'.
SNAP Mock Test - 7 (New Pattern) - Question 2

Directions: Identify the relevant figure of speech in the following sentence.

Q. The sun smiled down on her.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 2
'Smiling' is an act performed by living things; hence, 'personification' is used in the sentence. Sun, an inanimate object, is being associated with an ability related to living beings. Thus, 'personification' is the figure of speech used in the given sentence.
SNAP Mock Test - 7 (New Pattern) - Question 3

Directions: Rearrange the following sentences (A), (B), (C), (D), (E) and (F) in the proper sequence to form a meaningful paragraph, and then answer the question given below them.

(A) While others have managed to break free and follow their dreams.

(B) Ranging from family status, monetary returns to living their dreams through their children.

(C) Parents must respect the interest and sentiments of their children by advising and not ordering them.

(D) Some have fallen prey to this phenomenon.

(E) They need to work together with their children and guide them in the right way.

(F) Parents tend to force their wards to take up particular courses for a variety of reasons.

Which of the following would be the FIRST sentence after rearrangement?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 3
F obviously introduces the subject. B mentions the 'variety of reasons' introduced in F. What has been the result of F and B is stated in D and A. As 'while others' is mentioned in A, it will follow 'some have fallen prey' in D. C introduces the solution to the problem posed by the subject. E elaborates C. Hence, FBDACE.
SNAP Mock Test - 7 (New Pattern) - Question 4

Directions: Identify the sentence(s) or part(s) of sentence(s) that is/are incorrect in terms of grammar and logical consistency.

A. My elder brother is a M.A. whereas I am a B.A.

B. The USA is the richest country of the world.

C. Ramayana is read and held in high esteem not only in India but also in the USA and USSR.

D. The Ganga is one of the longest rivers of the world.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 4
(A) Article 'an' is used before a vowel sound. Thus, it should be 'an M.A.' since 'M.A' begins with a vowel sound.

Thus, the correct sentence is –

My elder brother is an M.A. whereas I am a B.A.

(C) Article 'the' should precede the noun 'Ramayana' as it is the name of a holy book.

Thus, the correct sentence is –

The Ramayana is read and held in high esteem not only in India but also in the USA and USSR.

SNAP Mock Test - 7 (New Pattern) - Question 5

Directions: Decide which of the following words can be filled most appropriately in the blank in the sentence below.

Q. The police also kept a fire brigade van on standby as a/an _______ arrangement at the minister's rally.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 5
'Contingency' means 'a future event or circumstance which is possible but cannot be predicted with certainty'. The key word is 'standby'.
SNAP Mock Test - 7 (New Pattern) - Question 6

Directions: Choose the word or phrase which is most nearly opposite in meaning to the keyword.

Disparate

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 6
Dis = away/deprive; par = equal

'Disparate' means 'essentially different in kind; not able to be compared'. Its antonym is 'homogeneous', meaning 'of the same kind; alike'.

SNAP Mock Test - 7 (New Pattern) - Question 7

Directions: Fill in the blank by choosing the right preposition from the given alternatives.

Q. If you run ______ money, you may get it, but it will not give you happiness.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 7
'To run after money' is to 'be in pursuit or quest of earning money'. This is correct as one can figuratively run 'after' money by being in pursuit of earning more and more.

'To run behind' is to 'be later than planned or expected or to take longer than planned or expected'.

Thus, option (2) is correct.

SNAP Mock Test - 7 (New Pattern) - Question 8

Directions: Select the best meaning of the given phrase.

Take the bull by the horns

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 8
"Take the bull by the horns" means "to confront a problem or issue head on". Option 3 is correct.
SNAP Mock Test - 7 (New Pattern) - Question 9

Choose the option that best replaces the phrase in underline without changing the meaning of the sentence below::

Q. Bhaskar felt like a fish out of water playing chess for the first time.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 9
"Like a fish out of water" means being out of your comfort zone.

Thus, the answer is option A.

SNAP Mock Test - 7 (New Pattern) - Question 10

Select the option that is closest in meaning to the word given below:

Diatribe

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 10
’Diatribe’ is a verbal assault against someone. Tirade is the option closest in meaning to diatribe among the given options. Therefore, option C is the right answer.
SNAP Mock Test - 7 (New Pattern) - Question 11

Select the option that represents the indirect form of the following sentence:

Ravi said “ I will be going to Ooty tomorrow”.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 11
Only ‘said to’ must be converted to ‘told’. ‘said’ will remain as ‘said’ in indirect speech too.

’Tomorrow’ must be converted to ‘the next day’.

Therefore, the indirect form of the given sentence is ‘Ravi said that he will be going to Ooty the next day’. Therefore, option C is the right answer.

SNAP Mock Test - 7 (New Pattern) - Question 12

Select the option that conveys the meaning of the word given below.

Ursine

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 12
The word "Ursine" means "relating to or like a bear".

Hence, the answer is option B.

SNAP Mock Test - 7 (New Pattern) - Question 13

Identify the origins of the word given below.

"A Cappella"

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 13
"A Cappella" refers to a form of singing without instrumental accompaniment.

The word comes from the Italian phrase Alla Capella.

Hence, the answer is option D.

SNAP Mock Test - 7 (New Pattern) - Question 14

Direction: The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it.

Q. After her marriage, Maggie is living ___ Bombay.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 14
We have to use ‘in’ after live/living if that particular person has home to live in the mentioned place. In the given context, ‘in’ should be used.
SNAP Mock Test - 7 (New Pattern) - Question 15

Select the word with the correct spelling.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 15
Only ‘pavilion’ is spelt correctly.

liason must be spelt as liaison

interupt must be spelt as interrupt

portugese must be spelt as portuguese

Hence, option A is the correct option.

SNAP Mock Test - 7 (New Pattern) - Question 16

What number should come in place of the question mark (?) in the following number series?

3, 4.5, 7.5, ?, 25.5, 49.5

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 16
The pattern for the given series is as follows

Therefore, the missing number is 13.5.

SNAP Mock Test - 7 (New Pattern) - Question 17

Select the letter-cluster that can replace the question mark (?) in the following series:

eBd, hXi, kTn, nPs, ?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 17
The series follows pattern as

(e + 3) (B + 22) (d + 5) = hXi,

(h + 3) (X + 22) (i + 5) = kTn,

(k + 3) (T + 22) (n + 5) = nPs,

(n + 3) (P + 22) (s + 5) = qLx

The correct answer is (4).

SNAP Mock Test - 7 (New Pattern) - Question 18

Directions: Study the following information carefully and answer the given question.

There are a total of 11 containers such as K, L, M, N, O, P, Q, R, S, T and U which are kept on 11 different shelves. The topmost shelf is numbered eleventh and the bottom one is numbered one. Two containers are kept between container T and container L. Container P is kept immediately above container M and there are three containers between container M and container K. Only three containers are kept below container O. Only one container is kept between container T and container N. Neither container P nor container K is kept above container L. Container Q is kept immediately above container U and container R is kept on one of the shelves above container S. Container K is not kept on shelf numbered 3. No container is kept above container N.

How many containers are kept between container K and container Q?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 18
Only 2 containers are kept between container K and container Q.

(1) Only three containers are kept below container O. No container is kept above container N. Only one container is kept between container T and container N. Two containers are kept between container T and container L.

(2) Container P is kept immediately above container M and there are three containers between container M and container K. Neither container P nor container K is kept above container L. Container K is not kept on shelf numbered 3.

(3) Container Q is kept immediately above container U and container R is kept on one of the shelves above container S.

SNAP Mock Test - 7 (New Pattern) - Question 19

Directions: Study the following information carefully and answer the given question.

There are a total of 11 containers such as K, L, M, N, O, P, Q, R, S, T and U which are kept on 11 different shelves. The topmost shelf is numbered eleventh and the bottom one is numbered one. Two containers are kept between container T and container L. Container P is kept immediately above container M and there are three containers between container M and container K. Only three containers are kept below container O. Only one container is kept between container T and container N. Neither container P nor container K is kept above container L. Container Q is kept immediately above container U and container R is kept on one of the shelves above container S. Container K is not kept on shelf numbered 3. No container is kept above container N.

Which container is kept on shelf numbered 7?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 19
(1) Only three containers are kept below container O. No container is kept above container N. Only one container is kept between container T and container N. Two containers are kept between container T and container L.

(2) Container P is kept immediately above container M and there are three containers between container M and container K. Neither container P nor container K is kept above container L. Container K is not kept on shelf numbered 3.

(3) Container Q is kept immediately above container U and container R is kept on one of the shelves above container S.

Container U is kept on shelf numbered 7.

SNAP Mock Test - 7 (New Pattern) - Question 20

Directions: Study the following information carefully and answer the given question.

There are a total of 11 containers such as K, L, M, N, O, P, Q, R, S, T and U which are kept on 11 different shelves. The topmost shelf is numbered eleventh and the bottom one is numbered one. Two containers are kept between container T and container L. Container P is kept immediately above container M and there are three containers between container M and container K. Only three containers are kept below container O. Only one container is kept between container T and container N. Neither container P nor container K is kept above container L. Container Q is kept immediately above container U and container R is kept on one of the shelves above container S. Container K is not kept on shelf numbered 3. No container is kept above container N.

Four of the following five are alike in a certain way and thus form a group. Which of the following does not belong to the group?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 20
(1) Only three containers are kept below container O. No container is kept above container N. Only one container is kept between container T and container N. Two containers are kept between container T and container L.

(2) Container P is kept immediately above container M and there are three containers between container M and container K. Neither container P nor container K is kept above container L. Container K is not kept on shelf numbered 3.

(3) Container Q is kept immediately above container U and container R is kept on one of the shelves above container S.

Except for S-P, there is one container between the two given containers.

SNAP Mock Test - 7 (New Pattern) - Question 21

There are seven members, H, I, J, K, L, M and N, in a family. H is K's mother's mother. J and L are the only two children of H and M. J is the only daughter of M. N is the son of L and I. How is M related to N?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 21

There are seven members, H, I, J, K, L, M and N, in a family.

1. H is K's mother's mother.

2. J and L are the only two children of H and M.

3. J is the only daughter of M.

4. N is the son of L and I.

By using the symbols in the table given below, we can draw the following family tree:

M is the grandfather of N, or we can say that M is N's father's father.

Hence, ‘Father's father’ is the correct answer.

SNAP Mock Test - 7 (New Pattern) - Question 22

At what time between 4:15 a.m. and 5:05 a.m. will the angle between the hour hand and the minute hand of a clock be the same as the angle between the hands at 8:45 p.m?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 22
At 4 o'clock, the angle between the hands is 120 degrees.

At 8:45 p.m, the angle is

SNAP Mock Test - 7 (New Pattern) - Question 23

Directions: Study the information below carefully.

A word arrangement machine, when given an input, rearranges it according to a certain pattern.

The following is an illustration of input and rearrangement:

Input: he went to Sudha's home in Pune on Monday

Step I: Monday he went to Sudha's home in Pune on

Step II: Monday Pune he went to Sudha's home in on

Step III: Monday Pune Sudha's he went to home in on

Step IV: Monday Pune Sudha's he home went to in on

Step V: Monday Pune Sudha's he home in went to on

Step VI: Monday Pune Sudha's he home in on went to

Step VII: Monday Pune Sudha's he home in on to went

Step (VII) is last step of the rearrangement.

As per the rules followed above, answer the following questions regarding the given input:

Input: both Riya and Amrita celebrate their birthday in October

Q. Which out of the following steps is step (III)?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 23
Input: both Riya and Amrita celebrate their birthday in October

Step (I): Amrita both Riya and celebrate their birthday in October

Step (II): Amrita October both Riya and celebrate their birthday in

Step (III): Amrita October Riya both and celebrate their birthday in

Step (IV): Amrita October Riya and bothcelebrate their birthday in

Step (V): Amrita October Riya and birthday both celebrate their in

Step (VI): Amrita October Riya and birthday both celebrate in their

The words with first letter capital are arranged alphabetically and then, the remaining words are arranged alphabetically.

Amrita October Riya both and celebrate their birthday in is Step (III).

SNAP Mock Test - 7 (New Pattern) - Question 24

Directions: Study the information below carefully.

A word arrangement machine, when given an input, rearranges it according to a certain pattern.

The following is an illustration of input and rearrangement:

Input: he went to Sudha's home in Pune on Monday

Step I: Monday he went to Sudha's home in Pune on

Step II: Monday Pune he went to Sudha's home in on

Step III: Monday Pune Sudha's he went to home in on

Step IV: Monday Pune Sudha's he home went to in on

Step V: Monday Pune Sudha's he home in went to on

Step VI: Monday Pune Sudha's he home in on went to

Step VII: Monday Pune Sudha's he home in on to went

Step (VII) is last step of the rearrangement.

As per the rules followed above, answer the following questions regarding the given input:

Input: both Riya and Amrita celebrate their birthday in October

Q. In how many steps does the arrangement complete itself?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 24
Input: both Riya and Amrita celebrate their birthday in October

Step (I): Amrita both Riya and celebrate their birthday in October

Step (II): Amrita October both Riya and celebrate their birthday in

Step (III): Amrita October Riya both and celebrate their birthday in

Step (IV): Amrita October Riya and both celebrate their birthday in

Step (V): Amrita October Riya and birthday both celebrate their in

Step (VI): Amrita October Riya and birthday both celebrate in their

The words with first letter capital are arranged alphabetically and then, the remaining words are arranged alphabetically.

In 6 steps the arrangement complete itself.

SNAP Mock Test - 7 (New Pattern) - Question 25

Directions: Study the following information and answer the question.

Albert, Bob, Cyrus, Dan, Edward, Franc, George and Harrison are together standing in a straight line with their faces towards north. Cyrus stands 4th to the left of George. Dan stands 2nd to the right of George. Only two boys stand between Dan and Albert. Bob and Franc are immediate neighbours of each other. Bob is not an immediate neighbour of Albert. Harrison is not an immediate neighbour of Dan.

Q. Who stands 3rd to the right of Cyrus?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 25
Cyrus stands 4th to the left of George. Dan stands 2nd to the right of George. Only two boys stand between Dan and Albert.

Possibility 1:

Possibility 2:

Bob and Franc are immediate neighbours of each other. Bob is not an immediate neighbour of Albert.

Possibility 1:

Possibility 2:

Harrison is not an immediate neighbour of Dan.

It is clear from the above diagram that Albert stands 3rd to the third of Cyrus.

SNAP Mock Test - 7 (New Pattern) - Question 26

Directions: Study the following information and answer the question.

Albert, Bob, Cyrus, Dan, Edward, Franc, George and Harrison are together standing in a straight line with their faces towards north. Cyrus stands 4th to the left of George. Dan stands 2nd to the right of George. Only two boys stand between Dan and Albert. Bob and Franc are immediate neighbours of each other. Bob is not an immediate neighbour of Albert. Harrison is not an immediate neighbour of Dan.

Q. Who stands exactly in the middle of the boys who stand 5th from left and 6th from right?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 26
Cyrus stands 4th to the left of George. Dan stands 2nd to the right of George. Only two boys stand between Dan and Albert.

Possibility 1:

Possibility 2:

Bob and Franc are immediate neighbours of each other. Bob is not an immediate neighbour of Albert.

Possibility 1:

Possibility 2:

Harrison is not an immediate neighbour of Dan.

From the diagram, it is clear that Albert is 5th from left and Bob is 6th from right. Thus, the boy who is standing between Bob and Albert is Franc.

SNAP Mock Test - 7 (New Pattern) - Question 27

In a certain code language, 'CREATION' is written as RCAEITNO. How will 'SEQUENCE' be written as in that language?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 27

Similarly,

The correct answer is option (1).

SNAP Mock Test - 7 (New Pattern) - Question 28

Directions: The question below has two/three statements followed by two conclusions labelled I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of them logically follow(s) from the given statements disregarding commonly known facts.

Statements: Some sales are targets.

No target is goal.

Conclusion I: Some targets are definitely not sales.

Conclusion II: Some goals are definitely not sales.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 28

Since the above diagram is a possibility:

1. All targets are sales is valid.

Hence, conclusion I is incorrect.

2. All goals are sales is valid.

Hence, conclusion II is incorrect.

SNAP Mock Test - 7 (New Pattern) - Question 29

Given below is a statement is followed by two assumptions. An assumption is something supposed or taken for granted. You have to consider the statement to be true even though it may seem untrue in the real life and decide which of the assumptions is implied in the statement.

Statement: Keep children away from the glass cabinets.

Assumption:

1: Children damage glass cabinets

2: Glass cabinets are dangerous to children

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 29
Depending on the situation, the size and type of glass cabinets, either assumption 1 or 2 is implied.
SNAP Mock Test - 7 (New Pattern) - Question 30

Direction: For the questions, two statements are provided per question. Read the statements carefully and determine if the two statements are independent causes, effects of independent causes or a common cause.

Statement A: The hijacker demanded more cash and gold.

Statement B: Very little cash and gold was sent to the hijacker.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 30
Since very little cash and gold was sent to the hijacker, he demanded more cash and gold.
SNAP Mock Test - 7 (New Pattern) - Question 31

India is poor country therefore should not try to spend too much money on launching of rockets and satellites.

Arguments:

I.Yes launching them successfully does not in any way help the country.

II. It drains away the meagre resources of the country.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 31
Both the arguments are strong as if a country have meagre resources then it shouldn't spend much on the projects which won't help the country. Hence, answer will be C.
SNAP Mock Test - 7 (New Pattern) - Question 32

Direction: In the following questions, this question has a statement followed by two conclusions. Taking the statements to be true, decide which of the given conclusion definitely follows from the given statement. Indicate your answer as:

Q. Statement: Industrial revolution which first of all started in Europe has brought about modern age.

Conclusions:

I. Disparity between rich and poor results in revolution.

II. Revolution overhauls society.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 32
For the given statement only conclusion 2 follows as according to statement revolution in europian industries transformed the society to modern age which is concluded in conclusion 2 only. Hence, answer will be B
SNAP Mock Test - 7 (New Pattern) - Question 33

If ‘WANTON’is coded as ‘AWNTNO’ and ‘SPURGE’ is coded as ‘PSRUEG’, then what is the code of ‘GENTLE’?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 33
The words are paired from the left and each pair is arranged in ascending order.

Thus,

WANTON = AW |NT |NO

SPURGE = PS |RU |EG

GENTEL = EG | NT | EL

SNAP Mock Test - 7 (New Pattern) - Question 34

Direction: A family consists of 5 persons P, Q, R, S, T. P is father of Q but Q is not son of P. R is married to Q. S is mother of Q. T is brother-in-law of P.

How is R related to P?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 34
The following diagram can be drawn using given statements.

In the above diagram, Square represents Male, Circle represents Female, Double line represents couple.

Hence, R is Son-in-law of P.

SNAP Mock Test - 7 (New Pattern) - Question 35

Find the incorrect term in the sequence below -

38, 41, 46, 53, 63, 73

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 35
38 + 3 = 41

41 + 5 = 46

46 + 7 = 53

53 + 9 = 62

62 + 11 = 73

Hence, option C is the right answer.

SNAP Mock Test - 7 (New Pattern) - Question 36

A series is given with one missing term. Choose the correct alternative from the given optons that will complete the series.

TR, PM, KG, EZ, ?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 36
T - 2 = R

R - 2 = P; P - 3 = M

M - 2 = K; K - 4 = G

G - 2 = E; E - 5 = Z

Z - 2 = X; X - 6 = R

Hence, option B is the right choice.

SNAP Mock Test - 7 (New Pattern) - Question 37

In the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements: All cows are alligators. All the alligators are birds.

Conclusions:

(1) All cows are birds.

(2) No alligator is cow.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 37
As we can check from the diagram.

Therefore, Only Statement (1) follows. Hence, Option A is correct.

SNAP Mock Test - 7 (New Pattern) - Question 38

If 30th March, 2006 is Saturday, what was the day of the week on 30th April, 2008?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 38
30th March, 2006 - 30th March, 2008 = 1 + 2(leap year) = 3 odd days

30th March, 2008 - 30th April, 2008 = 31 days, i.e. 3 odd days

Total = 3 + 3 = 6 odd days

Therefore, 30th April, 2008 is Friday.

The answer is option A.

SNAP Mock Test - 7 (New Pattern) - Question 39

What is the minor angle made by the minute hand and hour hand when the time is 3:48 PM?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 39
Let us look at the angle covered by the minutes hand from 3:00 pm

Each minute is equal to 360/60 = 6

48 minutes ⇒ 48 * 6 = 288

3 hours and 48 minutes is equal to 3.8 hours. Hour hand covered 3.8 hours.

Each hour = 360/12 = 30

3.8 hours ⇒ 3.8 * 30 = 114

Hence, the minor angle made = 288 - 114 = 174

SNAP Mock Test - 7 (New Pattern) - Question 40

Arrange the words given below in meaningful order -

  1. Word

  2. Paragraph

  3. Letter

  4. Sentence

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 40
Group of letters is called Word.

Group of words is called Sentence.

Group of sentences is called Paragraph.

Hence, The correct order will be Letter, Word, Sentence, Paragraph.

SNAP Mock Test - 7 (New Pattern) - Question 41

What will you get after simplifying

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 41
2log(12/24) - log(25/162) + log(4/9)

= 2log(1/2) - log25 + log162 + log4 - log9

= 2log1 - 2log2 - 2log5 + log(34 x 2) + 2log2 - log32= -2log2 - 2log5 + 4log3 + log2 + 2log2 - 2log3

= 2log3 - 2log5 + log2

= log9 + log2 - log25

= log(9 × 2) - log25

= log18 - log25

Hence, option (4) is correct.

SNAP Mock Test - 7 (New Pattern) - Question 42

An alloy A contains 36% aluminium and another alloy B contains 42% aluminium. An alloy C is made by mixing A and B together. If this alloy is found to contain 40% aluminium, then what is the ratio of the weights in which the two alloys A and B are mixed?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 42
Let the respective ratio in which alloy A is mixed with alloy B be k : 1.

Now, according to the question, we have:

⇒ 40k + 40 = 36k + 42

⇒ 4k = 2

⇒ k = ½

Thus, the required ratio of alloy A to alloy B = 1 : 2.

SNAP Mock Test - 7 (New Pattern) - Question 43

John has some toffees. He wants to put all the toffees in some packs. If he keeps 2, 3, or 4 toffees in each pack, he is left with one toffee. If he keeps 5 toffees in each pack, he is left with none. What is the least number of toffees that John could have with him?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 43
The LCM of 2, 3 and 4 is 12.

12 × 1 + 1 = 13

∴ 12 × 2 + 1 = 25

Thus, 25 = 12 × 2 + 1

25 = 3 × 8 + 1

25 = 4 × 6 + 1

25 = 5 × 5

Hence, option (1) is correct.

SNAP Mock Test - 7 (New Pattern) - Question 44

The difference between the radius of two concentric circles is 14 cm and the difference between their areas is 1232 cm2. Find the radius of the smaller circle (using π as 22/7)

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 44
There are two concentric circles.

Let the radius of the smaller circle be 'r' cm.

Then, the radius of the larger circle will be 'r + 14' cm.

Given: Difference between the areas of the circles = 1232 cm2

π (r + 14)2 – π (r)2 = 1232 cm2

π (r2 + 196 + 28r - r2) = 1232

392 = 28r + 196

196 = 28r

r = 196/28 = 7

Hence, the radius of the smaller circle is 7 cm.

SNAP Mock Test - 7 (New Pattern) - Question 45

A hollow cylinder of internal and external radii 8 cm and 10 cm, respectively, and height 5 cm is melted is recast into small cones of base radius 3 cm and height 5 cm. Find the number of cones.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 45
Volume of the hollow cylinder = π(R2 - r2)h

= π(102 - 82)5

= π (36) × 5

= 180π cm2

Volume of each cone formed

= 15 π cm2

Number of cones = 180π/15π

= 12

SNAP Mock Test - 7 (New Pattern) - Question 46

Find the value of cos2 15° - cos2 30° + cos2 45° - cos2 60° + cos2 75°.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 46
cos2 15° - cos2 30° + cos2 45° - cos2 60° + cos2 75°

= (cos2 15° + cos2 75°) - (cos2 30° + cos2 60°) + cos2 45°

= [cos2 15° + cos2(90° - 15°)] - [cos2 30° + cos2(90° - 30°)] + cos2 45°

= [cos2 15° + sin2 15°] - [cos2 30° + sin2 30°] + cos2 45° [ cos (90° - θ) = sin θ]

SNAP Mock Test - 7 (New Pattern) - Question 47

The chances of winning of two racehorses are 1/3 and 1/6. The probability that at least one will win when the horses are running in different races is

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 47
Probability that at least one will win

SNAP Mock Test - 7 (New Pattern) - Question 48

The population of Zambia increases by 10% every year for two years simultaneously and then decreases by 10% every year for two years. If the population of Zambia in 2010 was 1,00,000, what will it be in 2014?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 48
Let the population of the town be P and n = number of years, and suppose it increases at the rate of R% per annum.

Then, Population after n years =

Percentage increase (R1) = 10%; n = 2

Percentage decrease (R2) = 10%; n = 2

Population 4 years ago = 1,00,000

Population after 4 years =

= 98,010

SNAP Mock Test - 7 (New Pattern) - Question 49

Robin lives 33 miles from his place of work. He rides his bike at a speed of 6 mph from his house to the metro station. He then takes the metro to work, which travels at 30 mph. If he spends 6 minutes less on metro than on his bike, then what is the distance from the metro to his house?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 49
Let the distance to be evaluated = d miles

Thus, distance between station and work place = (33- d) miles

Time taken to travel from home to metro station = (d/6)hrs

Time taken to travel from metro station to place of work = (33 - d) / 30

6 minutes = 1/10 hour

Thus, (d/6) - ((33- d)/30) = 1/10

Or, d = 6

Thus, the distance to be evaluated is 6 miles.

Hence, answer option 2 is correct.

SNAP Mock Test - 7 (New Pattern) - Question 50

In the figure given below, PQ is parallel to RS and PR is parallel to QS. If LPR = 35° and UST = 70°, then what is MPQ equal to?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 50
∠LPR = 35°, ∠UST = ∠QPR = 70°

∠MPQ = 180° – (∠LPR + ∠QPR)

= 180° – (35° + 70°)

= 180° – 105° = 75°

SNAP Mock Test - 7 (New Pattern) - Question 51

What is the unit's digit in the product 2765 * 54165 ?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 51
To find the unit digits of the expression, we need to find the cyclicity of 7 and 4.

For 7 the pattern of units digit in powers is 7, 9, 3, 1, 7... Hence cyclicity of 7 is 4. We have the power as 65.

Hence the units digit of 2765 is 7 (65 is 4k + 1)

For 4 the pattern of units digit in powers is 4, 6, 4, 6, ... Hence cyclicity of 4 is 2. We have the power as 165.

Hence the units digit of 54165 is 4 (165 is 2k + 1)

The unit's digit of 2765 is 7 and the unit's digit of 54165 is 4. So, the unit's digit of the product is 8

SNAP Mock Test - 7 (New Pattern) - Question 52

If all the permutations of the letters of the word 'STUDENT' are arranged in an alphabetical order, what would be the rank of the word STUDENT?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 52
Arranging the letters of STUDENT in an alphabetical order we get DENSTTU. There are 3 letters higher than S and each of them have 6!/2! words (2! because of repetition of T). Thus the number of words preceding STUDENT are 3*6!/2! + 3*5!/2!+4*4! = 1356. Hence rank of student is 1357.
SNAP Mock Test - 7 (New Pattern) - Question 53

The ratio of sums of n terms of two A.P.s is (8n+1):(2n+3) then find the ratio of their 8th terms ?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 53
Let the two A.P.s be (a,d) and (x,y)

Hence it is given,

Ratio of 8th terms

We can observe that we get equation (2) by substituting n = 15 in the L.H.S of equation (1).

Hence Required ratio = (8x15 +1):(2x15+3) = 11:3

SNAP Mock Test - 7 (New Pattern) - Question 54

Find the volume of the frustum of a cone with radii 12 cm and 20 cm and height of the frustum = 10cm.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 54
To find the volume of the frustum of cone, we will calculate the volume of cone from which it is taken and calculate the volume of cone which is removed.

If we complete the cone, Suppose the total height of the cone is h+10

h/h+10 = 12/20

h = 15

Volume of the frustum of the cone = Volume of the full cone - Volume of the removed portion

SNAP Mock Test - 7 (New Pattern) - Question 55

In the given figure MN=14 cm, NQ = 3 cm, PM= 21 cm. Find RM?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 55
Here,

MN * MQ = RM * PM

11*14 = 21 * PM

⇒ PM = 22/3

SNAP Mock Test - 7 (New Pattern) - Question 56

At how many unique points do the two curves intersect?

Y = X3 − 2X2 + 3X + 2

Y = 2X2 + 3X + 2

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 56
At the point of intersection of the two curves,

X3 − 2X2 + 3X + 2 = 2X2 + 3X + 2

X3 = 4X2

X = 0 or 4

Note that the curves intersect twice at the point (0,2), but total number of unique points of intersection is 2

SNAP Mock Test - 7 (New Pattern) - Question 57

Ram can do a piece of work in 25 days. Shyam can do the same piece of work in 30 days. Vinod can do the same work in 15 days. If all three of them start working on the project, find the time taken to complete it.

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 57
Let the total work to be done be 750 units

Ram’s one-day work = 750/25 = 30 units

Shyam’s one-day work = 750/30 = 25 units

Vinod’s one-day work = 750/15 = 50 units

Total one-day work of Ram, Shyam and Vinod = 105 units

Time taken to complete the project = 750/105 = 7.14 days

SNAP Mock Test - 7 (New Pattern) - Question 58

A company has thirty percent men and 60% of the men gym regularly. If 39% of the company's employees gym regularly, what percentage of women gym regularly?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 58
Suppose x percentage of women gym regularly. So, 70%*x% + 30%*60% = 39%

So, x = 30%

SNAP Mock Test - 7 (New Pattern) - Question 59

Is the number X, divisible by 33?

Statement 1: X-11 is divisible by 3 and X is divisible by 11

Statement 2: The number formed by reversing the digits of X is divisible by 33

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 59
X is divisible by 33 if and only if X is divisible by bother 3 and 11.

Statement 1 implies that X is not divisible by 3.

Hence, we can conclude that X is not divisible by 33.

Statement 2 implies that X is divisible by both 3 and 11 and hence divisible by 33.

Hence, the question can be answered using either of the two statements alone.

SNAP Mock Test - 7 (New Pattern) - Question 60

P(x) is the sum of all divisors of a natural number x. For which number among the options is P(x)/x the least?

Detailed Solution for SNAP Mock Test - 7 (New Pattern) - Question 60
Of the four numbers given, only 211 is a prime number. Hence, the ratio P(x)/x is least for 211.
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