SECTION I : LOGICAL REASONING

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Clyde Holland
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1 SECTION I : LOGICAL REASONING. In the following letter series, some of the letters are missing which are given in that order as one of the alternatives. Choose the correct alternative. c bd cbcda a db a (A) adabcd cdbbca (C) daabbc (D) bdbcba. If MINJUR is coded as 7 and TADA as 6898, how can MADURAI be coded? (A) (C) 8978 (D) Pointing to a lady in the photograph, Shaloo said, "Her son's father is the son in law of my mother." How is Shaloo related to the lady? (A) Aunt Sister (C) Mother (D) Cousin. Choose the odd numeral pair/group. (A) 8 () 9 8 (0) (C) 7 () (D) 0 (70). If 'A $ B' means 'A is the father of B', 'A B' means 'A is the mother of B', B' means 'A is the wife of B', then which of the following means 'M is the grandmother of N'? (A) M T $ R M T $ S (C) M R $ N (D) M N 6. Johnson left for his office in his car. He drove km towards north and then 0 km towards west. He then turned to the south and covered km. Further, he turned to the east and moved 8 km. Finally, he turned right and drove 0 km. How far and in which direction is he from his starting point? (A) km west km east (C) 6 km south (D) km east 7. In the following series of letters, some definite order determines. Which of the following are net two letters in the correct order? A J K T U B I L S V C H M R W D G N Q X E F O?? (A) PY PZ (C) YZ (D) ZA 8. Choose the missing term from the given alternatives. BZA, DYC, FXE,?, JVI (A) HUG HWG (C) UHG (D) WHG 9. In a row of forty children, P is thirteenth from the left end and Q is ninth from the right end. How many children are there between P and R if R is fourth to the left of Q? (A) (C) (D) 0. If > denotes '+', < denotes ' ', + denotes ' ', denotes '=', = denotes 'less than' and denotes 'greater than', which of the following is a correct statement? (A) + > = 9 + < > > = 8 + < (C) > < 8 + < (D) + < 9 + <. Choose the odd numeral pair/group. (A) 9 7 (C) (D) 6

2 . If South east becomes North, North east becomes West and so on, what will West become? (A) North east North west (C) South east (D) South. Select the correct set of symbols which will fit in the given equation 0 = 0. (A),,, +, (C), +, (D) +,,. If it is possible to form a number with the second, the fifth and the eighth digits of the number 9786, which is the perfect square of a two digit even number, which of the following will be the second digit of that even number? (A) (C) 6 (D). Choose the correct alternative that will continue the given pattern. 0., 0., 0.6, 0.8,?_ (A) (C) (D) If 9 stands for DECIDE, then 8978 stands for. (A) BHEE CDEH (C) GHEE (D) HIGH 7. In the given series, count the number of 9's, each of which is not immediately preceded by but is immediately followed by either or. How many such 9's are there? (A) One Three (C) Five (D) Si 8. P, Q, R and S are playing cards. P and Q are partners and sitting in front of each other. Similarly R and S are partners and sitting in front of each other. S faces towards North and if P faces towards West, then who faces towards South? (A) Q R (C) S (D) Data inadequate 9. If implies '=', implies '<', + implies '>', implies ' ', > implies ' ', < implies '+', = implies ' ', identify the correct epression. (A) > + = < > + = > (C) > + > (D) > + + > 0. Each of these letters gets a numerical value based on its position in M K K I D N E T T Q O B F H A A G T U U X W L S R I, such as, for M, for K, for I and so on. What is the sum of the values of the group of letters ARM? (A) (C) (D) SECTION II : MATHEMATICAL REASONING. Simplify : ( ) 8 + ( ). (A) () () (C) () (D) (). Probability of an event can be (A) (C).00 (D) 0.6

3 . If the perpendicular distance of a point P from ais is units, then the point P has (A) coordinate = or y coordinate = (C) y coordinate = (D) y coordinate = or. A cube of side 6 cm is painted on all its 6 faces with red colour. It is then broken up into 6 smaller identical cubes. What is the ratio of N 0 : N : N. Where, N 0 number of smaller cubes with no coloured surface. N number of smaller cubes with red face. N number of smaller cubes with red faces. (A) : : 6 : : (C) : 6 : (D) 6 : :. If a + b + c = 0, then a b c a b c a b c = (A) a b c / a b c (C) / (D) 6. In the adjoining diagram, the area of the shaded figure is. (A) 0 cm 0 cm (C) 8 cm (D) cm y 6 V Z Y W X 0 7. Based on the diagram, If PQRS forms a rectangle, find the co ordinates of R. y S (A) (, ) (, ) (C) (6, ) (D) (6, ) 0 P Q 8. A person s present age is two fifth of the age of his mother. After 8 years, he will be half of the age of his mother. How old is the mother at present? (A) years 6 years (C) 0 years (D) 8 years 9. Set of values of, if ( + 8) + ( + ) =, is. (A) {} {, 7} (C) {7} (D) φ 0. The perimeter of a circle is equal to the perimeter of a square. Then, the ratio of their areas respectively, is. (A) : : 7 (C) : (D) : 7

4 . The equation representing the given graph is y (A) 7 + y = ; y = + 7y = ; + (y/) = (C) 7y = 0; 8y 6 = (, ) (, ) 0 (, ) (, ) (D) y = ; 8y 6 = (, ) y. + If = and y =, then find the value of + y. + (A) 98 (C) 0 (D) 0. In the adjoining figure, the area of shaded portion is. (A) 98 cm 80 cm (C) 8 cm (D) 80 cm P cm Q cm S 6 cm 8 cm R. The given below question is followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the capacity of the cylindrical tank? I. The area of the base is 6,600 sq. cm. II. The height of the tank is. times the radius. III. The circumference of base is 880 cm. (A) I and II (C) Any two of the three II and III (D) II and either I or III. The probability of guessing the correct answer to a certain test question is. If the probability of not guessing the correct answer to this question is, then = (A) (C) (D) 6. The mean of 0 items is and if each item is multiplied by a then the new mean will be (A) a + a (C) 0 (D) 0 + a 7. In the given figure, AB CD. If = ( + y) and 6 = ( y), then the measure of in terms of y is. (A) (08 y) A B ( y) (C) ( y) C D (D) (00 + y)

5 8. In the given figure (not drawn to scale), ABCD is a trapezium in which AB = 7 cm, AD = BC = cm, DC = cm and the distance between AB and DC is cm. Then the value of is. (A) cm 6 cm (C) 9 cm (D) cm D cm C L M cm cm cm A 7 cm B 9. Find the remainder when 9 + is divided by. (A) (C) (D) 0. If =, then is. (A) (C) 76 (D) SECTION III : EVERYDAY MATHEMATICS. A hollow garden roller of height 6 cm, with a girth of 0 cm is made of iron cm thick. The volume of the iron used is (A) 98 cm 67 cm (C) 766 cm (D) 077 cm. An article is sold at a certain price. By selling it at percent at original price. of that price one loses 0%. Find the gain (A) % 0% (C) % (D) 0%. 00 boys and 700 girls are eamined in a test; % of the boys and 0% of the girls pass. The percentage of the total students who failed is. (A) 8% 6 % (C) 6% (D) 78%. A group of students decided to collect as many paise from each member of the group as the number of members. If the total collection amounts to ` 9.9, the number of members in the group is. (A) 7 67 (C) 77 (D) 87. A library has an average of 0 visitors on Sundays and 0 on other days. The best estimate average number of visitors per day in a month of 0 days beginning with a Sunday is. (A) 0 76 (C) 80 (D) 8 6. If the radius of a circle is decreased by 0%, find the percentage decrease in its area. (A) 60% 7% (C) 70% (D) 80% 7. In how many years will a sum of ` 800 at 0% per annum compounded semi annually become ` 96.0? (A) (C) (D) 6

6 8. Arun and Sajal are friends. Each has some money. If Arun gives ` 0 to Sajal, then Sajal will have twice the money left with Arun. But, if Sajal gives ` 0 to Arun, then Arun will have thrice as much as is left with Sajal. How much money does Arun and Sajal have? (A) ` 6, ` ` 60, ` (C) ` 60, ` 0 (D) ` 6, ` 0 9. A boy multiplied 679 by second, third and seventh multiple of 9, then the average of their total is. (A) (C) (D) 0. If the cost of metres of wire is ` d, then what is the cost of y metres of wire at the same rate? (A) ` y d ` (d) (C) ` (yd) (D) ` SPACE FOR ROUGH WORK yd 7

7 ANSWER KEYS. (A). (D).. (C). (A) 6. (A) 7. (A) (C) 0. (C). (D). (C)... (C) 6. (D) (D) 0. (C). (A). (D). (D). (C). (D) (A) 8. (C) 9. (D) 0. (C). (D).. (C). (D). (C) 6. (A) 7. (A) 8. (A) (A). (D). (A).. (C). (D) (A) 9. (A) 0. (D)

FOUNDATION COURSE MOCK TEST PAPER - 1. PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time Allowed 3 Hours Maximum Marks: 100

FOUNDATION COURSE MOCK TEST PAPER - 1 Test Series: August, 2018 PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time Allowed 3 Hours Maimum Marks: 100 1. For p, q, r, s > 0 the value of