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1 PRELIMINARY INTERVIEW BOARD TERRITORIAL ARMY COMMISSION : JULY 07 PAPER: REASONING & ELEMENTARY MATHEMATICS Max Time : Hours Max Marks : 00 Roll No. Paper has two parts- Part I and Part II. (a) Part I Reasoning (50 Marks). Part II Elementary Mathematics (50 Marks).. Each section carries 50 objectives type of questions. (Please read the instructions carefully) INSTRUCTIONS. There will be four possible answers to every question. Candidates are required to fill correct answer in the OMR sheet with Black ball pen only. 4. For each correct answer, mark will be granted and 0.5 mark will be deducted for every wrong answer. 5. If a candidate gives more than one answer, it will be treated as a wrong answer and half mark will be deducted. There will be no penalty for questions left unanswered.. Candidates should not mark in the question paper. They can use blank pages provided in the question paper for rough work. 7. To be eligible to quality, candidate must obtain minimum 40% marks each in section I & II separately and a minimum of 50% aggregate in total. Q. How many triangles are there in the given figure? A D B C PART - I REASONING (a) 4 8 Q. How many rectangles are there in the given figure? (a) 4 4 Q. In a row of girls, kamla is th from the left and veena is th from the right. If they interchange their positions. Kamla becomes 5 th from the left. How many girls are there in the row? (a) Q 4. Five students are standing one behind the other in the play ground facing the instructor. Malini is behind Anjana, but in front of Gayatri. Meena is in front of Sheena, but behind Gayatri. What is the position of Meena? (a) Second from Last ( b) Extreme First Extreme Last Second from first Q 5. Sita is elder than Swapna. Lavanya is elder than Swapna but younger than Sita. Suvarna is younger than both Hari and Swapna. Swapna is elder than Hari. Who is the youngest? (a) Sita Lavanya Suvarna Hari C Q. C is A s father s nephew. D is A s Cousin but not brother of C. How is D related to C? (a) Father Sister Mother Aunt Q 7. Deepak said to Nitin, That Boy playing football is the younger of the two brothers of the daughter of my father s wife How is the boy playing football related to Deepak? (a) Son Nephew Brother Cousin Q 8. Which diagram depicts relationship between Nitrogen, Ice, Air? (a)

2 Q. Which diagram depicts relationship between Bus, Car, Vehicle? (a) Q 0. If CUSTOM is written as UCTSMO then how PARENT will be written in the same code? (a) ERAPTN TNERAP RAPTNE APERTN Q. If CAT is coded as 0, what code number can be given to NAVIN? (a) Q. If in a certain code EDITION is written as 85, then how TIDE will be written in that code? (a) Q. If FADE is coded as 854 then how can GAGE be coded? (a) Directions: In each of the following questions, four words are given, out of which three are alike in some manner and the fourth one is different. Choose the odd one. Q 4. (a) Wood Cork Stone Paper Q 5. (a) Commander Commodore Admiral Brigadier Directions: In each of the following questions, certain pairs of words are given, out of which the words in all pairs except one, bear a certain common relationship. Choose the pair in which the words are diffently related Q. (a) Steel : Utensils Bronze : Statue Duralumin : Aircraft Iron : Rails Q 7. (a) Tongue : Taste Eye : Blind Ear : Deaf Leg : Lame Directions: In each of the following questions, four numbers are given, out of which three are alike in some manner while the fourth one is different. Choose the one different from the rest. Q 8. (a) Q. (a) Q 0. (a) : 4:0 :4 7: Directions: In each of the following questions, a number series is given with one term missing. Choosing the correct alternative that will continue the same pattern. Q., 0,, 44, 75, (a) Q. 8,, 8, 7, (a) Q. 8,,, 44, (a) Q 4., 4 7,?,, (a) 5 7 Directions: In each of the following questions, various terms of an alphabet series are given with one missing term as shown by (?) choose the missing term out of the given alternatives. Q 5. N5V, K7T,?, E4P, BN (a) HR H0Q H0R I0R Q. JZ, K4X, I7V,?, HR, MP (a) IT LS LT LT Q 7. C4X, FU, IR,? (a) K5P L5 L5O L7P Directions: In each of the following questions, various terms of an alphabet series are given with one missing term as shown by (?) choose the missing term out of the given alternatives. Q 8. AB, DEF, HIJK,?, STUVWX (a) LMNO LMNOP MNOPQ QRSTU Q. AYBZC, DWEXF, GUHVI, JSKTL,? (a) MQORN MQNRO NQMOR QMONR

3 Q 0. I am facing in Southern Direction I turn Right and walk 0 m. Then I turn right and walk 0 m. Then again I turn left and walk 0 m. Then again I turn right and walk 0 m. Once again I turn right and walk 0 m. In which direction I am from (starting) Initial point? (a) North North West East North East Q. Eight people A, B, C, D, E, F, G and H placed as shown in the diagram. All are facing in the outward direction. If all of them move anticlockwise to three place then. A N H B G C F D E (a) B is facing West E is facing East H is facing North West A is facing South Q. On what dates of March, 0 did Wednesdays fall? (a),, 0, 7 5,,, 4,, 8, 5 7, 4,, 8 Q. A watch which gains uniformly is 4 minute slow at A.M. on Sunday, and is 4 minutes 5 sec. fast at P.M. on next Friday. When was it correct? (a) A.M. Thursday P.M. Wednesday A.M. Wednesday P.M. Q 4. The minute hand of a clock overtakes the hour hand at interval of 4 minutes of correct time. How much a day does the clock gain or lose? (a) 4 minutes loss 8 minute gain minute gain 8 minute loss Directions: Each of the following questions is based on the following alphabet series A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Q 5. Which letter is sixteenth to the right of the letter which is fourth to the left of I? (a) S T U V Q. Which letter is exactly midway between G and Q in the given alphabet? (a) K L M N Q 7. Which letter is midway between the eighteenth letter from the left end and tenth letter from the right end of the given alphabet? (a) No letter K Q R Q 8. Statements (a) All teachers are experienced. Conclusions (I) Some experienced are spinsters (a) Only conclusion I or II follow Both conclusion I and II follow Q. Statements (a) Some cats are dogs. Conclusions (I) Some dogs are cats. (III) Some cats are not toys. Some teachers are spinsters. (II) Some spinsters are experienced. Either conclusion I or II follow Only conclusion I follows No dog is a toy. (II) Some toys are cats. (IV) All toys are cats. (a) Only conclusion I and III follow Only conclusion I and II follow Only conclusion II and III follow Only conclusion I follows Q 40. Find Missing Term ? 0 (-4) 4 0? (a) and (-) and and (-) (-) and (-)

4 Q 4. Find Missing number.? (a) 8 4 Q 4. Find the Missing Term ? 8 7 (a) Q 4. Find Missing Term ? (a) Directions: In each of the following questions, a letter number series is given with one or more terms missing as shown by (?). Choose the missing term out of the given alternatives. Q 44. AFI : :: ADD =? (a) 4 Q 45. RUST : 87 : : TSUR (a) Directions: In the following questions you have to identify the correct response from the given premises stated according to following symbols. Q 4. If means +, - means, means and + means ( 4) 8 4 then (a) 0 8 Q 47. If stands for additions, stands for subtraction, stands for division, stands for,multiplication, stands for equal to, then which of the following alternatives is correct? (a) Directions: In each of the following questions, various terms of an alphabet series are given with one or more terms missing as shown by choose the missing terms out of the given alternatives. Q 48. a c b _ c e _ f _ (a) dde cde dee ddg Q 4. r t x_ s x_z_txy yz (a) y y r x s y y s x r y y r s x y y x r s Q 50. Unscramble the letters to frame a meaningful word. Then find out the correct numerical position of the letters. B C U S M E L R N A (a)

5 Part II : Elementary Mathematics Q 5. The value of cos sec 0 tan 45 (a) 4 sin 0 + cos 0 Q 5. The expression 55 tan 57 + cot 7 is equal to tan + cot (a) tan 0 cot 57 tan 57 cot 7 tan cot 5 tan cot 7 Q 5. If sinθ + cosθ sinθ cosθ = then the value of sin 4 θ is (a) 5 Q 54. If sin cos = θ 7 and 0 < θ<0 then the value of sin θ + cos θ is (a) 7 7 Q 55. If a sec x b tan x = c then the value of sec x + tan x is equal to (assume b a ) (a) b a + c b + a c b a c b + a b a b + a Q 5. If x + x = 5, then is equal to x x 5x + (a) 5 5 Q 57. The simplified value of ( xy ) x y ( x + y xy) is x y (a) x y x + y Q 58. Find the value of x y b a b + a + c x + y (a) Q 5. If x =, then the value of x 5 x 4 x x + x is (a) 0-0 Q 0. If p = 0, then the value of p(p p + ) is (a) Q. If a = then the value of a a is (a) Q. If n = + 4 then the value of n is (a) 7 Q. If x + y = and x y =, then the value of 8xy (x + y ) is (a) 5 5 Q 4. If x = y = -z then ( + + x y z ) is equal to (a) 0 - Q 5. If x = + then x + x is equal to (a) 0 4 Q. The distance between two parallel chords of length 8 cm each in a circle of diameter 0 cm is (a) cm 7cm 8 cm 5.5 cm 5

6 Q 7. ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP = of the length of BQ and AB is (a) : : : : AB then the ratio Q 8. If the sides of a triangle are in the ratio : : then the triangle is 4 4 (a) Right triangle Isosceles triangle Obtuse triangle Acute triangle Q. An equilateral triangle of side cm is inscribed in a circle. Then radius of the circle is: (a) cm cm 4 cm cm Q 70. If the difference between compound interest and simple interest on a certain sum of money for years at 8% per annum is Rs. 78/- then the sum invested is: (a),00,000/-,0,000/-,0,000/-,70,000/- Q 7. On what sum of money will the difference between simple interest and compound interest for years at 5% per annum be equal to Rs. /- (a) Rs. 400/- Rs. 4800/- Rs. 500/- Rs. 5500/- Q 7. A sells an article to B making a profit of of his outlay. B sells it to C, gaining 0%. If C sells it for Rs. 00 and incurs a 5 loss of of his outlay, the cost price of A is (a) Rs. 00 Rs. 500 Rs. 70 Rs. 800 Q 7. Ramesh bought 0 cycles for Rs. 500 each. He spent Rs.,000 on the repair of all cycles. He sold five of them for Rs. 750 each and the remaining for Rs. 550 each. Then the total gain or loss % is (a) Gain of 8 % Loss of 8 % Gain of 7 % Loss of 7 7 % Q 74. A can finish a piece of work in 8 days and B can do the same work in half of the time taken by A. Then working together what part of the same work they can finish in a day. (a) 5 7 Q 75. The rate of working of A and B are in the ratio :. The number of days taken by them to finish the work is in the ratio (a) : 4: : :4 Q 7. The ratio of the number of boys and girls in the school is :. If 0% of the boys and 5% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is (a) Q 77. A train passes two bridges of lengths 800 m and 400 m in 00 seconds and 0 seconds respectively. The length of the Train is (a) 80 m 0 m 00 m 50 m Q 78. In an examination, 5% students failed in Hindi and 4% in English. If 7% failed in both the subjects, what percentage of students passed in both the subjects? (a) 8% % % 8% Q 7. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 7 runs. If these two innings are excluded, the average of the remaining 8 innings is 48 runs. The highest score of the player is (a) Q 80. A discount of series of 5%, 0% and 0% is equal to a single discount of (a) 50% 47.% 5.8% 5.4% Q 8. A dishonest dealer defrauds to the extent of x% in buying as well as selling his goods by using faulty weight. What will be the gain percent on his outlay? (a) x% ( 0 x + x )% (x + x x )% (x )% Q 8. A and B started a business in the partnership by investing in the ratio of 7:. After months A withdraw of of its investment and after 4 months from the beginning B withdraw % of its investment. If the total earned profit is Rs. 00/- at the end of months, find the share of each in the profit. (a) Rs 55/- and Rs /- Rs 055/- and Rs. 5555/- Rs 450/- and Rs 45/- Rs 545/- and Rs. /- Q 8. The mean marks of 0 students is 5. On checking it was found that two marks were wrongly copied as and. If wrong marks obtained are replaced by correct values 8 and 4, then the correct mean is (a) Q 84. Three circle of diameter 0 cm each are bound together by rubber band, the length of the rubber band is. (a) π 0 π π

7 Q 85. A river m deep and 40 m wide is flowing at the rate of km per hour. How much water will fall into sea in a minute? (a) 4,00,000 m 40,00,000 m 40,000 m 4,000 m Q 8. If the radius of the base and the height of a right circular cylinder is increased by 0% each then the volume of the cylinder increases by: (a).% 4.5%.%.5% Q 87. The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 7. sq. metre is (Take π = 7 ) (a) 8.5 m.75 m 0.5 m. m Q 88. Some bricks are arranged in an area measuring 0 m. If the length, breadth and height of each brick is 5 cm,.5 cm and 8 cm respectively, then the number of bricks are: (a) Q 8. The length, breadth and height of a room is 5m, 4m and m respectively. Find the length of the largest bamboo that can be kept. (a) 5 m 0m 7 m 5 m Q 0. A solid metallic spherical ball of diameter cm is melted and re-casted into a cone with diameter of the base as cm. The height of the cone is (a) cm cm 4 cm cm Q. If the ratio of the diameter of two right circular cones of equal height be :4, then the ratio of their valume will be (a) :4 : : 7:4 Q. What is the value of log (log 8)? (a) 4 Q. Find the value of is equal to (a) Q 4. (0.004) /5 is equal to (a) Q 5. The value of (4) 0. (4) 0.04 is equal to (a) Q. If a and b are two positive integer such that a b = then value of a is (a) 0 0 Q 7. (78) (0.0) + is equal to (a) Q 8. The sum of three consecutive odd natural numbers is 47. Then the middle number is (a) Q. A student was asked to find 5 of a number. By mistake he found 5 of that number and his answer was 50 more than the correct answer. Find the given number (a) Q 00. The HCF and LCM of two numbers are and respectively. If one number is 84, then the other number is (a)

TA Reasoning Section

TA Reasoning Section Sn o Answ er Key Question 1 c What comes next in the series 3, 20, 63, 144, 275? 2 d What comes next in the series 8, 12, 18, 27,... A. 60.75 B. 62 C. 58 D. 60.5 3 d What comes next in the series 8, 29,