Get 5 CMAT mocks at just Rs.299<\/a><\/p>\n Download CMAT previous papers PDF<\/a><\/p>\n Question 1:\u00a0<\/b>\u2018Music\u2019 is related to \u2018Notes\u2019 in the same way as \u2018Language\u2019 is related to\u2026\u2026\u2026\u2026\u2026\u2026<\/p>\n a)\u00a0Sentences<\/p>\n b)\u00a0Combination<\/p>\n c)\u00a0Grammar<\/p>\n d)\u00a0Alphabets<\/p>\n e)\u00a0Syntax<\/p>\n Question 2:\u00a0<\/b>if\u2019 AxB\u2019 means B is the father of A and \u2018A+B\u2019 means A is the wife of B and A \/B means A is the brother of B , then what is the relation of J with L in the \u2018 J + H \/ R x L \u2018.<\/p>\n a)\u00a0Daughter<\/p>\n b)\u00a0Daughter in law<\/p>\n c)\u00a0Sister in law<\/p>\n d)\u00a0Cannot determined<\/p>\n e)\u00a0None of these<\/p>\n Question 3:\u00a0<\/b>Pointing to a boy, Meena said “He is the only grandson of my grandfather”. How is the boy related to Meena?<\/p>\n a)\u00a0Brother<\/p>\n b)\u00a0Cousin<\/p>\n c)\u00a0Uncle<\/p>\n d)\u00a0Data inadequate<\/p>\n e)\u00a0None of these<\/p>\n Question 4:\u00a0<\/b>Among five friends J, K, L, M and N each having a different number of pencils. K has more pencils than N but less than L. M has more pencils than L. J neither has the most nor the least number of pencils. Who amongst the following has the lowest number of pencils ?<\/p>\n a)\u00a0Cannot be determined<\/p>\n b)\u00a0M<\/p>\n c)\u00a0N<\/p>\n d)\u00a0L<\/p>\n e)\u00a0K<\/p>\n Question 5:\u00a0<\/b>which of the following values satisfy the inequality ? a)\u00a0p>4 or p<3<\/p>\n b)\u00a04<=P<7<\/p>\n c)\u00a0P>3,P<=5<\/p>\n d)\u00a03<\/p>\n e)\u00a0P=4,P=-3<\/p>\n Download CMAT Previous Papers PDF<\/a><\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Question 6:\u00a0<\/b>If P denotes `+\u2019: \u2018R\u2019 denotes \u2018\u00f7\u2019: T denotes \u2018-\u2018 and W\u2019 denotes \u2018\u00d7\u2019; then- 40 R 8 W 10 T 12 P 16 = ?<\/p>\n a)\u00a050<\/p>\n b)\u00a046<\/p>\n c)\u00a030<\/p>\n d)\u00a070<\/p>\n e)\u00a0None of these<\/p>\n Question 7:\u00a0<\/b>How many meaningful english words can be formed from the letters \u2018\u2019ACER \u2018\u2019 using each letter once<\/p>\n a)\u00a0None<\/p>\n b)\u00a0One<\/p>\n c)\u00a0Two<\/p>\n d)\u00a0Three<\/p>\n e)\u00a0More than three<\/p>\n Question 8:\u00a0<\/b>How many such pairs of letters are there in the word SCHEDU<\/strong>LE<\/strong> (in both forward and backward directions),each of which has as many letters between them in the word as in the English alphabetical series?<\/p>\n a)\u00a0None<\/p>\n b)\u00a0One<\/p>\n c)\u00a0Two<\/p>\n d)\u00a0Three<\/p>\n e)\u00a0More than three<\/p>\n Question 9:\u00a0<\/b>In a row of children facing NORTH Ritesh is twelfth from the left end .Sudhir who is twenty second from right end is fourth to the right of Ritesh . Total how many children are there in the row?<\/p>\n a)\u00a035<\/p>\n b)\u00a036<\/p>\n c)\u00a037<\/p>\n d)\u00a034<\/p>\n e)\u00a0None of these<\/p>\n Question 10:\u00a0<\/b>Vikas walked 9 km\u00a0towards North, took a left turn and walked 5 km and again took a left turn and walked 9 km and stopped walking. Towards which direction was he facing when he stopped walking?<\/p>\n a)\u00a0South<\/p>\n b)\u00a0South-West<\/p>\n c)\u00a0South-East<\/p>\n d)\u00a0Cannot be determined<\/p>\n e)\u00a0None of these<\/p>\n Question 11:\u00a0<\/b>Which of the following figures represents the relation between \u2018Sparrows\u2019, \u2018Birds\u2019 and \u2018Crows\u2019 ?<\/p>\n a)\u00a0 b)\u00a0 c)\u00a0 d)\u00a0 e)\u00a0 Question 12:\u00a0<\/b>Which of the following symbols should be placed in blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that both \u2018W > R as well as \u2018E \u2265 S\u2019 definitely hold true? W_E_A_R_ S<\/p>\n a)\u00a0>, =, \u2265, \u2265<\/p>\n b)\u00a0>, \u2265, =, ><\/p>\n c)\u00a0\u2264, \u2265, =, \u2265<\/p>\n d)\u00a0\u2264, =, >, \u2265<\/p>\n e)\u00a0\u2265, <, \u2264, =<\/p>\n Question 13:\u00a0<\/b>Which of the following statements will be definitely true if the expression `V < E > B = H \u2265 N \u2265 P is definitely true?<\/p>\n a)\u00a0P \u2264 B<\/p>\n b)\u00a0H < V<\/p>\n c)\u00a0N \u2264 V<\/p>\n d)\u00a0E \u2265 N<\/p>\n e)\u00a0E \u2265 P<\/p>\n Question 14:\u00a0<\/b>Four of the following five are like in a certain code ,which one does not belongs to that group?<\/p>\n a)\u00a0ROSE<\/p>\n b)\u00a0JASMINE<\/p>\n c)\u00a0HIBISCUS<\/p>\n d)\u00a0MARIGOLD<\/p>\n e)\u00a0LOTUS<\/p>\n Question 15:\u00a0<\/b>In a certain code RAIL is written as 5796 and TAPE is written as 3748.how is PAIR can be written in that code.<\/p>\n a)\u00a04795<\/p>\n b)\u00a04785<\/p>\n c)\u00a03795<\/p>\n d)\u00a08795<\/p>\n e)\u00a0none of these<\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Question 16:\u00a0<\/b>Study the following information carefully and answer the question which follows : Farmers should use hydroponics for farming. Hydroponics is growing plants in liquid nutrient solution. Since it does not require soil, farmers can save a large amount of time by avoiding tilling and de-weeding of their fields. Which of the following statements does not weaken the given statement?<\/p>\n a)\u00a0Initial set up cost for hydroponics is very high as the necessary equipment and inputs are three times more expensive than that used in traditional methods.<\/p>\n b)\u00a0Disease causing micro-organisms that are water-based can enter and subsist much more easily in hydroponics based environment as compared to traditional farming.<\/p>\n c)\u00a0Rather than using only hydroponics or only traditional farming, most of the farmers use both simultaneously.<\/p>\n d)\u00a0Without soil to serve as a buffer, if the hydroponics system fails, plant death occurs very rapidly leading to loss of 70-85% crop.<\/p>\n e)\u00a0The production using hydroponics is very limited and is more efficient for house gardens rather than large scale farming.<\/p>\n Question 17:\u00a0<\/b>For which of the following values of x the inequality $3(x^{2} – 4x + 4) < x $ gets satisfied ?<\/p>\n a)\u00a0$x > 3, x < \\frac{4}{3}$<\/p>\n b)\u00a0$x > 3, x < – \\frac{4}{3}$<\/p>\n c)\u00a0$ \\frac{4}{3} < x < 3$<\/p>\n d)\u00a0$ \\frac{4}{3} \\leq x \\leq 3$<\/p>\n e)\u00a0None of these<\/p>\n Question 18:\u00a0<\/b>If it is possible to form a number with the first, the fourth and the seventh digits of the number 4671358, which is the perfect square of a two-digit odd number, which of the following will be the digit in the tenth place of that two digit odd number ? If no such number can be formed, give ‘O’ as the answer and if more than one such number can be made, give ‘X’ as the answer.<\/p>\n a)\u00a02<\/p>\n b)\u00a09<\/p>\n c)\u00a03<\/p>\n d)\u00a0O<\/p>\n e)\u00a0X<\/p>\n Question 19:\u00a0<\/b>If in the number 38564927 first all the even digits are arranged in ascending order and then all the odd digits are arranged in ascending order, which digit will be fourth from the right end ?<\/p>\n a)\u00a05<\/p>\n b)\u00a03<\/p>\n c)\u00a06<\/p>\n d)\u00a04<\/p>\n e)\u00a0None of these<\/p>\n Question 20:\u00a0<\/b>Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?<\/p>\n a)\u00a017<\/p>\n b)\u00a013<\/p>\n c)\u00a063<\/p>\n d)\u00a071<\/p>\n e)\u00a023<\/p>\n Question 21:\u00a0<\/b>How many meaningful English words can be made from the letters NOEC using each letter only once in each word?<\/p>\n a)\u00a0None<\/p>\n b)\u00a0One<\/p>\n c)\u00a0Two<\/p>\n d)\u00a0Three<\/p>\n e)\u00a0More than three<\/p>\n Question 22:\u00a0<\/b>In order of quality in an examination having six subjects one has to get at least 50% and above marks separately in any four subjects and minimum 35% and above in each of the six subjects. If the total of 25% candidates have qualified in the examination, then which of the following is definitely true?<\/p>\n a)\u00a025% of the students have secured 50% and above in all the six subjects<\/p>\n b)\u00a075% of the students could not get at least 35% marks in all the six subjects taken together<\/p>\n c)\u00a050% of the students got 50% and above in four subjects but only half of them could get 35% and above in all the subjects<\/p>\n d)\u00a0Only 25% of the students could get at least 35% and above marks in each of the subjects<\/p>\n e)\u00a0None of these<\/p>\n Question 23:\u00a0<\/b>There are 25 students in a queue. Ravi is standing 12th from the back. What is his position from the front?<\/p>\n a)\u00a011th<\/p>\n b)\u00a012th<\/p>\n c)\u00a013th<\/p>\n d)\u00a014th<\/p>\n Question 24:\u00a0<\/b>If in the word FLOURISH ,all the vowels are first arranged alphabetically and then all the consonants are arranged and then all the vowels are replaced by previous letters and all consonants are replaced by the next letter from the English alphabets ,which of the following will be the third from the right end?<\/p>\n a)\u00a0I<\/p>\n b)\u00a0S<\/p>\n c)\u00a0M<\/p>\n d)\u00a0V<\/p>\n e)\u00a0None of these<\/p>\n Question 25:\u00a0<\/b>In the following set of numbers if \u20181\u2019 is added to the last digit of and then the order of digits is reversed ,which of the following will be the fourth if arranged in the ascending order 567 284 696 865 738<\/p>\n a)\u00a0567<\/p>\n b)\u00a0284<\/p>\n c)\u00a0696<\/p>\n d)\u00a0865<\/p>\n e)\u00a0738<\/p>\n Enroll to CAT 2022 Complete Course<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Music is composed from notes, similarly a language is made from sentences.<\/p>\n => Ans – (A)<\/p>\n 2)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Expression\u00a0: J + H \/ R x L<\/p>\n J is the wife of H, and H is the brother of R.<\/p>\n Also, L is the father of\u00a0R, => H is the son of L.<\/p>\n Thus, J is the daughter-in-law of L.<\/p>\n => Ans – (B)<\/p>\n 3)\u00a0Answer\u00a0(D)<\/strong><\/p>\n The boy is\u00a0only grandson of Meena’s grandfather.<\/p>\n Thus, the boy can be either Meena’s brother or cousin, hence data is inadequate.<\/p>\n => Ans – (D)<\/p>\n 4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n K has more pencils than N but less than L, => L > K > N.<\/p>\n M has more pencils than L, => M > L.<\/p>\n Combining above statements, we get\u00a0: M > L > K > N \u00a0<\/strong><\/p>\n J neither has the most nor the least number of pencils.<\/p>\n Thus, N has the least number of pencils.<\/p>\n => Ans – (C)<\/p>\n 5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Expression\u00a0: $P(P-3)<4P-12$<\/p>\n => $P^2-3P-4P+12<0$<\/p>\n => $P^2-7P+12<0$<\/p>\n => $(P-3)(P-4)<0$<\/p>\n => $P<3$ and\u00a0$P>4$<\/p>\n => Ans – (A)<\/p>\n 6)\u00a0Answer\u00a0(E)<\/strong><\/p>\n given that P denotes\u00a0\u00a0`+\u2019: \u2018R\u2019 denotes \u2018\u00f7\u2019: T denotes \u2018-\u2018 and W\u2019 denotes \u2018\u00d7\u2019<\/p>\n we need to find value of\u00a040 R 8 W 10 T 12 P 16<\/strong><\/p>\n = 40\u00a0\u00f7 8 x 10 – 12 + 16<\/p>\n using BODMAS rule<\/p>\n = 54<\/p>\n 7)\u00a0Answer\u00a0(D)<\/strong><\/p>\n We can form 3 words from the given word “ACER” i.e CARE, RACE, ACRE.<\/p>\n Hence, option D is the correct answer.<\/p>\n 8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Word – SCHEDULE<\/p>\n There are 3 pairs of letters\u00a0which have as many letters between them in the word as in the English alphabetical series.<\/p>\n =\u00a0(C,E) , (E,D) , (H,L)<\/p>\n => Ans – (D)<\/p>\n 9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Ritesh is 12th from the left end. Sudhir is fourth to the right of Ritesh. Hence, Sudhir\u00a0is 16th from the left end. And also Sudhir is 22nd from the right end. There are 11 people to the left of Ritesh, 21 people to the right of Sudhir and 3 people in between Ritesh and Sudhir. The total number of children’s in the row is: 11 + 3 + 21 + 2(including both Ritesh and Sudhir) = 37. Hence, option C is correct.<\/p>\n 10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let Vikas started from point A and head north for 9 km to reach B, then he turned left and travelled west for 5 km before reaching C, again he turned left and travelled for 9 km and finally stopped at point D.<\/p>\n Thus, he is facing south direction when he stopped walking.<\/p>\n => Ans – (A)<\/p>\n 11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Sparrows and crows are entirely different. But, both are birds.<\/p>\n => Ans – (B)<\/p>\n 12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Given\u00a0: $W>R$ and $E \\geq S$<\/p>\n Now, for above statements to be true, the expression\u00a0:<\/p>\n $W>E=A\\geq R\\geq S$<\/p>\n => Ans – (A)<\/p>\n 13)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Expression\u00a0:\u00a0V < E > B = H \u2265 N \u2265 P<\/p>\n => $E>B=H\\geq N\\geq P$ and $E>V$<\/p>\n Thus, the only true statement is = $P\\leq B$<\/p>\n => Ans – (A)<\/p>\n 14)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Here, all except Lotus are flowers which grow on land while lotus is a water flower.<\/p>\n => Ans – (E)<\/p>\n 15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n The codes for each letter is given\u00a0:<\/p>\n P\u00a0->\u00a04 Thus, PAIR :\u00a04795<\/strong><\/p>\n => Ans – (A)<\/p>\n 16)\u00a0Answer\u00a0(C)<\/strong><\/p>\n The given statement supports the use of hydroponics among farmers.<\/p>\n The first option definitely weakens the statement as it mentions the high cost of hydroponics. Similarly, the second option also states the disease caused by the water used in hydroponics, it also weakens the given statement.<\/p>\n The fourth option mentions about the loss of crop due to this method and the final option talks about its limitations, thus both weakening the statement.<\/p>\n But the third option gives a choice for the farmers to use hydroponics and thus does not weaken the given statement.<\/p>\n => Ans – (C)<\/p>\n 17)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Given inequality, $3(x^{2} – 4x + 4) < x$ => On solving the equations we get x = 3, 4\/3 18)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Number –\u00a04671358<\/p>\n 1st, 4th and 7th digits = 4, 1, 8<\/p>\n Now, if a number should be a perfect square of an odd number, then the number should also be odd, i.e. end with ‘1’ in this case.<\/p>\n Numbers ending with 1 = 481, 841<\/p>\n Now, $841=(29)^2$ and 481 is not a perfect square number.<\/p>\n Digit in 10th place = 2<\/strong><\/p>\n => Ans – (A)<\/p>\n 19)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Number –\u00a038564927<\/p>\n Arranging all even digits in ascend order = 24683597<\/p>\n Now, arranging all odd digits in ascend order = 24683579<\/p>\n 4th digit from right end =\u00a03<\/strong><\/p>\n => Ans – (B)<\/p>\n 20)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Except 63, all are prime numbers, hence 63 is the odd one.<\/p>\n => Ans – (C)<\/p>\n 21)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Letters – N,O,E,C<\/p>\n 2 meaningful words can be formed = Cone, Once<\/p>\n => Ans – (C)<\/p>\n 22)\u00a0Answer\u00a0(D)<\/strong><\/p>\n The criteria to qualify the examination is that a student has to get\u00a0:<\/p>\n (a)\u00a0:\u00a0$\\geq50\\%$ marks separately in any four<\/strong> subjects.<\/p>\n (b) :\u00a0$\\geq35\\%$ marks\u00a0in each of the six<\/strong> subjects.<\/p>\n Since, only 25% students have qualified in the examination, then these students definitely got\u00a0at least 35% and above marks in each of the subjects as given in the fourth option.<\/p>\n => Ans – (D)<\/p>\n 23)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Ravi is standing 12th from the back. So, there are 13 students ahead of him. So, Ravi\u2019s position is 14th from the front.<\/p>\n 24)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Arrange all the vowels and then consonants from left.<\/p>\n IOUFHLRS<\/p>\n Now all the vowels are replaced with previous letters and all the consonants are replaced by next letter.<\/p>\n HNTGIMST<\/p>\n Now third letter from right is M.<\/p>\n Hence, C is the correct answer.<\/p>\n 25)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Numbers\u00a0: 567 284 696 865 738<\/p>\n If\u00a0\u20181\u2019 is added to the last digit, then numbers :\u00a0568 , 285 , 697 , 866 , 739<\/p>\n Now, order of digits is reversed, = 865 , 582 , 796 , 668 , 937<\/p>\n After arranging in ascending order = 582 , 668 , 796 , 865 , 937<\/p>\n Thus, 4th from left = $865\\equiv567$<\/p>\n => Ans – (A)<\/p>\n
\nP (P-3) < 4P- 12 ?<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/a_bmILK9B.PNG\")
<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/b_BRdzv1F.PNG\")
<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/c_xR1vpp7.PNG\")
<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/d_9p1TSAY.PNG\")
<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/e_DvshNDe.PNG\")
<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/17031.PNG\")
<\/figure>\n
\nA\u00a0->\u00a07
\nI\u00a0->\u00a09
\nR -> 5<\/p>\n
\n=> $3x^{2} – 13x + 12 < 0$<\/p>\n
\nOn the checking for the value of the equation in 3 regions, we see that it is negative only for $ \\frac{4}{3} < x < 3$
\nso option c is correct<\/p>\n