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SNAP Mock Test - 1 (New Pattern) Included RC's - CAT MCQ


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30 Questions MCQ Test - SNAP Mock Test - 1 (New Pattern) Included RC's

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SNAP Mock Test - 1 (New Pattern) Included RC's - Question 1

DIRECTION for the question: In the question, a related pair of words is followed by four numbered (1), (2), (3) and (4) pairs of words. Select the numbered pair that best expresses a relationship similar to that expressed in the original pair.

COGENT : CONVINCE : :

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 1

Option 4: Cogent means ‘to the point.’ 

► A precise and cogent argument would convince just as something repugnant (distasteful or objectionable) would repel (ward off or repulse).

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 2

DIRECTIONS for the question: Choose the word from the options which is Opposite in meaning to the given word.

Captivate

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 2

► Captivate means to attract and hold the attention or interest of, as by beauty or excellence or to enchant.

► Charm also means to impress or attract someone.

Disgust means to offend the good taste, moral sense.

► Delight is a high degree of pleasure or enjoyment; joy; rapture.

So, option 3 is appropriate.

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SNAP Mock Test - 1 (New Pattern) Included RC's - Question 3

DIRECTIONS for the question: In the question, four words are given of which two words are most nearly the same or opposite in meaning. Find the two words which are most nearly the same or opposite in meaning and mark the number of the correct as your answer.

I. Attenuate      
II. Repent         
III. Make thin          
IV. Force

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 3

Option 1: Attenuate and make thin are similar.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 4

DIRECTIONS for the question: Identify the meaning of the given idiom/ phrase.

Raise Cain

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 4

Option 2: Raise Cain means to make a lot of trouble; to raise hell.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 5

DIRECTIONS for the question: Complete the sentence by filling in the appropriate blank/blanks from the options provided.

"If you are morose." you feel ______________

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 5

Option 4: Morose - Glowering, moody, sullen, saturnine, glum, dour, dark, sour.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 6

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

My new mistress proved to be all she appeared when I first met her at the door- a woman of the kindest heart and feelings. She had never had a slave under her control previously and prior to her marriage she had been dependent upon her own industry for a living. She was by trade a weaver, and by constant application to her business, she had been in a good degree preserved from the lighting and dehumanizing effects of slavery. I was utterly astonished at her goodness. I scarcely knew how to behave towards her. My early instruction was all out of place. The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her. Her favor was not gained by it; she seemed to be disturbed by it. She did not deem it to be impudent or unmannerly for a slave to look in the face. The meanest slave was put fully at ease in her presence, and none left without feeling better for having seen her. But alas! This kind heart had but a short time to remain such. The fatal poison of irresponsible power was already in her hands, and soon commenced its internal work.

Very soon I went to live with Mr. and Mrs. Auld; she very kindly commenced to teach me the A, B, C. After I had learnt this, she assisted me in learning to spell words of three and four letters. Just at this point of my progress, Mr. Auld found out what was going on , and at once forbade Mrs. Auld to instruct me further, telling her that it was unlawful, as well as unsafe, to teach a slave to read. Further he said, "If you give a slave an inch, he will take a mile. A slave should know nothing but to obey his master - to do as he is told to do. Learning would spoil the best slave in this world. "Now," said he, "If you teach that boy (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave. He would at once become unmanageable, and of no value to his master. As to him, it could do him no good, but a great deal of harm. It would make him discontented and unhappy. "These words sank deep into my heart, stirred up sentiments within that lay slumbering, and called into existence an entirely new train of thought. I now understood what had been to me a most perplexing difficulty - the white man's power to enslave the black man. From that moment, I understood that pathway from slavery to freedom. Though conscious of the difficulty of learning without a teacher, I set out with high hope, and a fixed purpose, at whatever cost of trouble, to learn how to read. The very decided manner with which my master spoke, and strove to impress his wife with the evil consequences of giving me instruction, served to convince me that he was deeply sensible of the truths he was uttering. It gave me the best assurance that I might rely with the utmost confidence on the results which, he said, would flow from teaching me to read. What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was great evil, to be carefully shunned, was to me a great good, to be diligently sought; and the argument which he so warmly urged, against my learning to read, only served to inspire me with a desire and determination to learn. In learning to read, I owe almost as much to the bitter opposition of my master, as to the kindly aid of my mistress. I acknowledge the benefit of both.

Q. The author's main purpose in this passage is to

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 6

Option 3: The author wants to put forth that the words which he was taught by his mistress helped him to understand that education was what would lead him to freedom.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 7

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

My new mistress proved to be all she appeared when I first met her at the door- a woman of the kindest heart and feelings. She had never had a slave under her control previously and prior to her marriage she had been dependent upon her own industry for a living. She was by trade a weaver, and by constant application to her business, she had been in a good degree preserved from the lighting and dehumanizing effects of slavery. I was utterly astonished at her goodness. I scarcely knew how to behave towards her. My early instruction was all out of place. The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her. Her favor was not gained by it; she seemed to be disturbed by it. She did not deem it to be impudent or unmannerly for a slave to look in the face. The meanest slave was put fully at ease in her presence, and none left without feeling better for having seen her. But alas! This kind heart had but a short time to remain such. The fatal poison of irresponsible power was already in her hands, and soon commenced its internal work.

Very soon I went to live with Mr. and Mrs. Auld; she very kindly commenced to teach me the A, B, C. After I had learnt this, she assisted me in learning to spell words of three and four letters. Just at this point of my progress, Mr. Auld found out what was going on , and at once forbade Mrs. Auld to instruct me further, telling her that it was unlawful, as well as unsafe, to teach a slave to read. Further he said, "If you give a slave an inch, he will take a mile. A slave should know nothing but to obey his master - to do as he is told to do. Learning would spoil the best slave in this world. "Now," said he, "If you teach that boy (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave. He would at once become unmanageable, and of no value to his master. As to him, it could do him no good, but a great deal of harm. It would make him discontented and unhappy. "These words sank deep into my heart, stirred up sentiments within that lay slumbering, and called into existence an entirely new train of thought. I now understood what had been to me a most perplexing difficulty - the white man's power to enslave the black man. From that moment, I understood that pathway from slavery to freedom. Though conscious of the difficulty of learning without a teacher, I set out with high hope, and a fixed purpose, at whatever cost of trouble, to learn how to read. The very decided manner with which my master spoke, and strove to impress his wife with the evil consequences of giving me instruction, served to convince me that he was deeply sensible of the truths he was uttering. It gave me the best assurance that I might rely with the utmost confidence on the results which, he said, would flow from teaching me to read. What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was great evil, to be carefully shunned, was to me a great good, to be diligently sought; and the argument which he so warmly urged, against my learning to read, only served to inspire me with a desire and determination to learn. In learning to read, I owe almost as much to the bitter opposition of my master, as to the kindly aid of my mistress. I acknowledge the benefit of both.

Q. For which of the following reasons does Mr. Auld forbid his wife to educate the slave?

A. Providing slaves with an education violates the law
B. He believes slaves lack the capacity for education
C. He fears education would leave the slave less submissive

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 7

Refer second para: ‘Mr. Auld found out what was going on , and at once forbade Mrs. Auld to instruct me further, telling her that it was unlawful, as well as unsafe, to teach a slave to read.’

►The author states that Mr. Auld wants his wife to stop teaching him because Mr. Auld feels that if a slave learns to read then he is of no use to his master. Also that the slave will not be manageable any longer and that the slave himself will not be happy. Both A and C are correct.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 8

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

My new mistress proved to be all she appeared when I first met her at the door- a woman of the kindest heart and feelings. She had never had a slave under her control previously and prior to her marriage she had been dependent upon her own industry for a living. She was by trade a weaver, and by constant application to her business, she had been in a good degree preserved from the lighting and dehumanizing effects of slavery. I was utterly astonished at her goodness. I scarcely knew how to behave towards her. My early instruction was all out of place. The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her. Her favor was not gained by it; she seemed to be disturbed by it. She did not deem it to be impudent or unmannerly for a slave to look in the face. The meanest slave was put fully at ease in her presence, and none left without feeling better for having seen her. But alas! This kind heart had but a short time to remain such. The fatal poison of irresponsible power was already in her hands, and soon commenced its internal work.

Very soon I went to live with Mr. and Mrs. Auld; she very kindly commenced to teach me the A, B, C. After I had learnt this, she assisted me in learning to spell words of three and four letters. Just at this point of my progress, Mr. Auld found out what was going on , and at once forbade Mrs. Auld to instruct me further, telling her that it was unlawful, as well as unsafe, to teach a slave to read. Further he said, "If you give a slave an inch, he will take a mile. A slave should know nothing but to obey his master - to do as he is told to do. Learning would spoil the best slave in this world. "Now," said he, "If you teach that boy (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave. He would at once become unmanageable, and of no value to his master. As to him, it could do him no good, but a great deal of harm. It would make him discontented and unhappy. "These words sank deep into my heart, stirred up sentiments within that lay slumbering, and called into existence an entirely new train of thought. I now understood what had been to me a most perplexing difficulty - the white man's power to enslave the black man. From that moment, I understood that pathway from slavery to freedom. Though conscious of the difficulty of learning without a teacher, I set out with high hope, and a fixed purpose, at whatever cost of trouble, to learn how to read. The very decided manner with which my master spoke, and strove to impress his wife with the evil consequences of giving me instruction, served to convince me that he was deeply sensible of the truths he was uttering. It gave me the best assurance that I might rely with the utmost confidence on the results which, he said, would flow from teaching me to read. What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was great evil, to be carefully shunned, was to me a great good, to be diligently sought; and the argument which he so warmly urged, against my learning to read, only served to inspire me with a desire and determination to learn. In learning to read, I owe almost as much to the bitter opposition of my master, as to the kindly aid of my mistress. I acknowledge the benefit of both.

Q. The tone of author in acknowledging his debt to his master can be best described as

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 8

Option 1: The author remembers the good time – when his mistress teaches him to read - and also acknowledges the fact that though what his master did was incorrect it ultimately led to something positive – he was stimulated to read and learn. (Sentimental means expressive of or appealing to sentiment, especially the tender emotions and feelings, as love, pity, or nostalgia. Nostalgic means a wistful desire to return in thought or in fact to a former time in one''s life, to one''s home or homeland, or to one''s family and friends; a sentimental yearning for the happiness of a former place or time.)

Option 2: It is not ironic because he doesn’t think something and it turns out to be something else. Moreover he is actually happy that the master stopped his learning because that later motivated him to work on his own. Cutting means wounding the feelings severely; sarcastic.Ironic means using words to convey a meaning that is the opposite of its literal meaning.

Option 3: He is not being moralistic, so self- righteous which means confident of one''s own righteousness, especially when smugly moralistic and intolerant of the opinions and behavior of others, cannot be the answer. Petulant means moved to or showing sudden, impatient irritation, especially over some trifling annoyance

Option 4: As it is a story which talks of  triumph, we cannot say that the tone is resigned - means submissive or acquiescent. Wistful means expressing or revealing thoughtfulness, usually marked by some sadness.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 9

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

My new mistress proved to be all she appeared when I first met her at the door- a woman of the kindest heart and feelings. She had never had a slave under her control previously and prior to her marriage she had been dependent upon her own industry for a living. She was by trade a weaver, and by constant application to her business, she had been in a good degree preserved from the lighting and dehumanizing effects of slavery. I was utterly astonished at her goodness. I scarcely knew how to behave towards her. My early instruction was all out of place. The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her. Her favor was not gained by it; she seemed to be disturbed by it. She did not deem it to be impudent or unmannerly for a slave to look in the face. The meanest slave was put fully at ease in her presence, and none left without feeling better for having seen her. But alas! This kind heart had but a short time to remain such. The fatal poison of irresponsible power was already in her hands, and soon commenced its internal work.

Very soon I went to live with Mr. and Mrs. Auld; she very kindly commenced to teach me the A, B, C. After I had learnt this, she assisted me in learning to spell words of three and four letters. Just at this point of my progress, Mr. Auld found out what was going on , and at once forbade Mrs. Auld to instruct me further, telling her that it was unlawful, as well as unsafe, to teach a slave to read. Further he said, "If you give a slave an inch, he will take a mile. A slave should know nothing but to obey his master - to do as he is told to do. Learning would spoil the best slave in this world. "Now," said he, "If you teach that boy (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave. He would at once become unmanageable, and of no value to his master. As to him, it could do him no good, but a great deal of harm. It would make him discontented and unhappy. "These words sank deep into my heart, stirred up sentiments within that lay slumbering, and called into existence an entirely new train of thought. I now understood what had been to me a most perplexing difficulty - the white man's power to enslave the black man. From that moment, I understood that pathway from slavery to freedom. Though conscious of the difficulty of learning without a teacher, I set out with high hope, and a fixed purpose, at whatever cost of trouble, to learn how to read. The very decided manner with which my master spoke, and strove to impress his wife with the evil consequences of giving me instruction, served to convince me that he was deeply sensible of the truths he was uttering. It gave me the best assurance that I might rely with the utmost confidence on the results which, he said, would flow from teaching me to read. What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was great evil, to be carefully shunned, was to me a great good, to be diligently sought; and the argument which he so warmly urged, against my learning to read, only served to inspire me with a desire and determination to learn. In learning to read, I owe almost as much to the bitter opposition of my master, as to the kindly aid of my mistress. I acknowledge the benefit of both.

Q. The meaning of the word impudent as per the context of the passage will be

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 9

Option 1: Impudent means 'immodest'.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 10

DIRECTIONS for the question: Complete the following sentence with the best alternative.

In the month of May, the ____sound of the ice-cream cart can be heard.

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 10

During the month of May the sound of the ice-cream cart is heard time and again .

Ubiquitous means present everywhere. The sound of the ice-cream cart is music to the ears.

If it is cacophonic (very loud and harsh) it would hardly attract people or children.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 11

DIRECTIONS for the question: Choose the word from the options which is most Similar in meaning to the given word.

DILIGENT

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 11

►Diligent means unflagging and hard- working. Its synonym is indefatigable, which means showing sustained enthusiastic action with unflagging vitality.

►Apathetic means showing little or no emotion or animation.

►Chic means elegant and stylish.

►Spirited means displaying animation, vigour, or liveliness.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 12

DIRECTIONS for the question: A sentence is divided into four parts.

Choose the part that is/are grammatically incorrect.

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 12

Their reputation we are talking about is singular so in C ''are'' should be replaced by ''is''. 

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 13

DIRECTIONS for the question: Complete the sentence by filling in the appropriate blank/blanks from the options provided.

__________by the invigorating smell of water-soaked soil, he retreated to the guest house, and watched the flower pods quiver in the rain. Peace could not be more____________.

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 13

►In the given case, the first blank is the one that dictates the correct answer.

►Since the sentence requires an element of surprise, we select the word ‘ambushed’, which implies that the person was caught unaware.

►The second word ‘tangible ’ also perfectly fits the second blank in the sentence.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 14

DIRECTIONS for the question: Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. Online, one can be anything, anyone, of any age, gender, nationality, biography or appearance.
B. And yet one may use words and delve into verbal play to enact one’s deepest psyche, to reveal the identity that is buried in everyday life and useless in the real world of social interaction.
C. To hook up by way of words is often to play hooky with a reality that doesn’t obey our words.
D. It is to search for a psychic order that can be forcefully denied by social order and which one would like to stealthily achieve in the deepest recesses one one’s mind.
E. Hence the intensely erotic nature of such play, which, in a way, is an alternative outlet for repressed energies and emotions, without any fear of being caught.

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 14

►Sentence A is an ideal opener as the idea therein is explained further in a logical manner by the rest of the lines here.   Line C explains the purpose behind using particular words, an idea stated in line B (A-B-C).

►Sentence D elaborates on the purpose (to search ….) of using such words (A-B-C-D), while sentence E gives a concluding remark with its use of hence.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 15

DIRECTIONS for the question: Identify the correct part of speech of the underline word.

Right

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 15

Right is adjective in "right man" , right is verb in "will right" so correct option is option 2.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 16

DIRECTIONS for the question: Analyse the graph/s given below and answer the question that follows.

The chart below shows the number of students from Peepal Tree school participating in a social outdoor event from the three divisions A, B and C of classes from 6th to 10th.

Q. The ratio of students below VIII standard to those above it, was

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 16

►Strength of VI = 20 + 30 + 45 = 95 & that of VII = 60 + 45 + 35 = 140. 

►Total = 140 + 95 = 235

►Strength of IX = 30 + 50 + 50 = 130 & that of X = 50 + 60 + 70 = 180. 

►Total = 130 + 180 = 310

►So the requied ratio is 235 : 310 = 47 : 62.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 17

DIRECTIONS for the question: Analyse the graph/s given below and answer the question that follows.

The chart below shows the number of students from Peepal Tree school participating in a social outdoor event from the three divisions A, B and C of classes from 6th to 10th.

Q. The VIII-A students were what percentage more than VII-B?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 17

►Students in VIII A = 60 and Students in VII B = 35

►Therefore, required percentage = [(60 - 35)/35] × 100 = 71.42%

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 18

Find the value of log (a2 / bc) + log (b2 / ac) + log (c2 / ab)

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 18

Give expression = log(a2b2c2 / a2b2c2) = log 1 = 0

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 19

Mr. Seth borrows Rs. 32,760 without interest and agrees to pay back in 12 monthly installments, each being twice the preceding one. Find the 2nd and the last installment.

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 19

►The installments will form a GP with common ratio 2. The sum of this GP is 32760

a(212 – 1) / (2 – 1).

►Solving this equation yields a = 8.

►Thus the 2nd installment is 8 x 2 = 16 and the last installment is 8 x 211 = 16384.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 20

A square of side 2 m is made to form an octagon by chipping off triangular portions from its sides. If the octagon so formed is regular in nature, then the side of the octagon is:

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 20

Let the length of the edge cut at each corner be x m. Since the resulting figure is a regular octagon.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 21

There are 50 students admitted to a nursery class, who all can speak at least one of English or Hindi. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi.  If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 21

►Only English =21 - 10 = 11. So only Hindi = 50 - 21 = 29, Hindi = 29 + 10 = 39.

►Hence Hindi = 39, only Hindi = 29, Only English = 11

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 22

Arun does half as much work as Bipin in three fourth of the time. If they take 18 days to finish a job working together, how much time will Bipin take to finish the job alone?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 22

►Suppose B can complete 4 units of work in 4 days. Then, A can complete 2 units in 3 days, i.e., 4 units in 6 days.

►In other words, A and B can complete 2/3 units and 1 unit of work each day respectively.

►Since they work together, they can complete 2/3 + 1 = 5/3 units of work each day.

►Working together, they can complete the job in 18 days. So the total work is (5/3) x 18 = 30 units.
B completes 1 unit per day, thus he can complete the job in 30 days.
Option B

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 23

A bag contains 8 white and 12 blue chips while another bag contains 6 white, 6 black and 8 blue chips. A chip is removed from a bag and placed in the other bag. A chip is now removed from the other bag. What is the probability that the chip is black?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 23

If any chip is moved from the first bag to the second bag, then a black chip can be removed from the second bag with probability 6/21.

If a chip is moved from the second bag to the first bag. we are interested only in moving a black chip.

In this case, the probability is 6/20 × 1/21 = 6/420.

Thus the required probability is: 6/21 + 6/420 = 126/420 = 3/10.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 24

Ram travels at the rate of 3 km/h and he reaches 15 minutes late. If he travels at the rate of 4 km/h, he reaches 15 minutes earlier. What is the distance Ram has to travel?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 24

Difference in the time is 1/2 hour.

d/3 - d/4 = 1/2

∴ d = 6

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 25

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

In a certain town 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:

A. 10% families own both a car and a phone.
B. 35% families own either a car or a phone or both.
C. 40,000 families live in the town.

Q. Which of the above statements are correct?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 25

65% family own neither phone nor car means 35 % own atleast 1.

∴ 35 = 25 + 15 - n(A ∩ B)
x is the total population

∴ 5% x = 2000, x = 2000/5% = 40000

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 26

A large cube is formed by melting three smaller cubes of 3 cm, 4 cm and 5 cm side. What is the ratio of the total surface areas of the smaller cube and the larger cube?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 26

let a be side of the larger cube

Sum of the volumes of three smaller cubes = Volume of the larger cube

63 + 83 + 103 = a3

216 + 512 + 1000 = a3

1728 = a3

a = 12 cm

Ratio of the total surface areas of the smaller cubes and the larger cube  = 6 × (62 + 82 + 102) : 6 × 122

= ( 36 + 64 + 100 ) :  144

= 200 :  144

= 25 : 18

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 27

If xy = yz = zx and xz = y2, the which of the following is correct?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 27

xy = zx ⇒ y = z;
yz = zx ⇒ y = x

Therefore, for option 1 :

► z = 2y2 / 2y = y

⇒ z = y = z

Thus, LHS = RHS.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 28

How many three digit positive integers, with digits x, y and z in the hundred's, ten’s and unit's place respectively, exist such that x < y, z< y and x ≠ 0?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 28

►If y is 9, x can take 8 values and z can take 9 values (from 0 to 8), so total is 8 x 9 = 72

►If y is 8, x can take 7 values and z can take 8 values, so total is 7 x 8 = 56

►similarly find the cases till y =2. Adding we get 240.

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 29

P and Q are 240km apart. Amit starts from P towards Q at 3 am .Rajveer starts from Q towards P at 8am. Amit is 50% faster than Rajveer They cross each other at 5pm. At what time is the distance between them 100 km, for second time?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 29

SNAP Mock Test - 1 (New Pattern) Included RC's - Question 30

`N' persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is `N'?

Detailed Solution for SNAP Mock Test - 1 (New Pattern) Included RC's - Question 30

► Each person will form the pair with all other persons except the two adjacent to him.

► So every person will form (n – 3) pairs and total pairs are n(n – 3).

► But here each pair is counted twice.

► So the actual number of pairs are n(n – 3)/2

► As per the question, n (n – 3)/2 × 2 = 28

=> n(n – 3) = 28

►∴ n = 7 (rejecting the negative value of n)

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