2
email: [email protected] Þœªô¢ªî¦ô¢Ù 26 šúšídÙñô¢ª 2019 - 67. Statements: Some books are notes. All books are stationery. No notes are pens. Conclusions: 1) Some stationery are not pen. 2) All books being notes is a possibility. 3) No pen is stationery. 4) All stationery are not pens. 5) Some books are not pen. 68. Statements: All blades are sharp. Some blades are blunt. No blunt is a sword. Conclusions: 1) Some sharp are not sword. 2) All blunt being sharp is a possibility. 3) Some blades are not sword. 4) All sword can be blade. 5) All sharp can be sword. 69. If all the vowels of the word ‘INDEPEN- DENCE’ are replaced by its succeeding letter according to the English alphabet and all the consonant are replaced with their previous letter according to the English alphabet and then all the letters are arranged in the alphabetical order. Then, how many letters are there between the third letter from the left and second letter from the right in the English alphabetic series? 1) 11 2) 9 3) 12 4) 10 5) None of these 70. How many meaningful words can be formed using first, second, fifth and eighth letter of the word 'STATEMENT'. If more than one meaningful word formed then mark your answer as X and if not then which of the following is the second letter of that meaningful word? 1) S 2) N 3) X 4) T 5) E Directions (Q.No.71-75): Study the following information carefully and answer the questions given below. Eight persons i.e., P, Q, R, S, T, U, V and W are sitting in a linear row with some are facing in North direction and rest facing in South direction. Two persons sitting together do not face in the same direction and so on. All of them like a different colors i.e., Blue, Pink, Yellow, Cream, Black, Green, Brown and Violet. All information is not necessarily in the same order. Only five persons sit between P and T. P sits at one of the end of the row. Two persons sit between T and the one who likes Cream. T sits to the right of P. The one who likes Black sits third to the left of the one who likes Cream. As many persons sits to the right of T as there sits to the right of the one who likes Pink color. The one who likes yellow color sits to the immediate left of W and immediate right of R. W does not like Cream. P does not like Yellow. V sits to the immediate right of S. S does not face North. U does not like Yellow and Blue. V likes Violet. S does not like Green and Blue. As many persons sits to the left of Q as there are to the left of S. 71. Who among the following likes Cream color? 1) R 2) Q 3) W 4) P 5) None of these 72. How many persons are sitting between the one who likes Yellow color and U? 1) one 2) two 3) three 4) four 5) more than five 73. Who among the following sits to the immediate left of the one who likes Black color? 1) S 2) The one who likes Brown color 3) The one who likes Green color 4) Both (1) and (2) 5) Both (1) and (3) 74. Which statement among the following is true regarding V? 1) V likes Pink Color 2) V likes Green Color 3) V sits to the immediate left of P 4) V sits to the immediate right of Q 5) None is true 75. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group? 1) P - Blue 2) W - Pink 3) Q - Yellow 4) R - Cream 5) U - Black Directions (Q.No.76-80): Study the following information carefully and answer the questions below. Nine persons i.e., O, P, Q, R, V, W, X, Y and Z are living in a building having three floors i.e., ground floor numbered as 1, floor above it is numbered as 2 and so on till top floor is numbered as 3. Each floor has three flats i.e., Flat 1, Flat 2 and Flat 3. Flat 1 of Floor 2 is immediate above Flat 1 of Floor 1 and immediate below Flat 1 of Floor 3. Similarly Flat 2 of Floor 2 is immediate above Flat 2 of Floor 1 and immediate below Flat 2 of Floor 3 and so on. Flat 2 of each floor is to the East of Flat 1 of each Floor and West of Flat 3 of each Floor. Q lives above Z but on the same Flat number. Q lives on an even number Floor. P lives in the South West direction of Q. V and R lives on same floor and on odd Flat numbers. X lives just below V but on the same Flat number. Nobody lives to the South West of X. W lives to the North West of O, who lives on odd number floor. 76. Who among the following lives on Flat 2 of Floor 2? 1) P 2) X 3) Q 4) O 5) None of these 77. Who among the following lives to the North East of X? 1) W 2) R 3) V 4) either (1) or (2) 5) either (2) or (3) 78. V lives on which of the following Floor - Flat? 1) Floor 1 - Flat 1 2) Floor 2 - Flat 1 3) Floor 3 - Flat 1 4) Floor 3 - Flat 3 5) None of these 79. Which statement among the following is true regarding R? 1) R and W lives on the same Floor 2) R and Y lives on the same Flat number 3) R lives on an odd Flat number 4) R lives to the North East with respect to P 5) All above statements are true 80. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group? 1) V 2) R 3) P 4) O 5) Q Directions (Q.No.81-85): Study the following information carefully and answer the questions given below. Nine persons i.e., J, K, L, M, N, O, P, Q and R were born on three different dates i.e., 3, 5 and 8 of three different months i.e. March, April and May. They all like a different number i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. All information is not necessarily in the same order. J was born in March. As many persons were born before J as there were after Q. As many persons were born between J and M as born between M and Q. L was born just after the one who likes number 1 and just before the one who likes number 2. L is not born on an even date. Q does not like number 1 and number 2. The one who likes number 2 was born on an even date. Three persons were born between the one who likes number 2 and the one who likes number 7. The one who likes number 5 was born just after the one who likes number 6 and just before the one who likes number 4. N was born after K but before O. R likes number 9 and is born on an odd date. O does not like number 7. P was born after O. Q does not like number 3. P does not like number 8 and 3. 81. Who among the following likes number 3? 1) J 2) K 3) L 4) M 5) None of these 82. How many persons were born between the one who likes number 9 and K? 1) one 2) two 3) three 4) four 5) more than five 83. Who among the following was born just before the one who was born on 8 th of April? 1) M 2) The one who likes number 4 3) The one who likes number 5 4) Both (1) and (2) 5) Both (1) and (3) 84. Which statement among the following is true regarding O? 1) O likes number 4 2) O was born on 8 th of a month 3) O was born in April 4) O was born just after M 5) All is true 85. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group? 1) J - 1 2) L - 3 3) K - 2 4) N - 6 5) R - 5 Directions (Q.No.86-89): Read the information carefully and answer the following questions. There are ten persons in the family having three generation. T is grandmother of X. N is sister of X. P is sister-in-law of T. V is father of N. W is daughter-in-law of S. X is son of W. R is daughter of P. Q is nephew of S. Y is sister-in-law of N. 86. How is W related to Y? 1) Son 2) Wife 3) Mother-in-law 4) Daughter 5) None of these 87. If M is son of X, then how is N related to M? 1) Aunt 2) Son 3) Mother 4) Sister 5) None of these 88. How is R related to S? 1) Nephew 2) Niece 3) Daughter 4) Son 5) None of these 89. If M is son of X, then how is W related to M? 1) Grand father 2) Mother 3) Daughter 4) Grand mother 5) None of these 90. How many such numerals are there in the number '7382956482' which will remain at the same position when arranged in ascending order from right to left? 1) One 2) Two 3) Three 4) Four 5) None Directions (Q.No.91-95): Study the following information carefully and answer the questions given below. Eight persons i.e., P, Q, R, S, T, U, V and W are sitting around a rectangular table and facing inside such that four of them sits at the corner and four of them sits at the middle of the sides. All of them likes different colors i.e., Orange, Black, Pink, Yellow, White, Blue, Red and Violet. All information not necessarily in the same order. Q sits second to the right of U, who likes Violet. Three persons sit between Q and R, who likes yellow. T is an immediate neighbor of R. Only one person sits between V and T. V likes white. T faces S, who likes blue. V is an immediate neighbor of R and U. W is an immediate neighbor of P, who likes Orange. P is not a neighbor of Q. W and Q do not like Pink. V faces the one who likes black. The one who likes red does not sits at the corner. 91. Who among the following faces the one who sits second to the left of S? 1) P 2) T 3) W 4) Q 5) None of these 92. Who among the following sits to the immediate right of U? 1) W 2) The one who likes Blue 3) V 4) Q 5) None of these 93. Which of the following statement is true? 1) S faces W 2) Q faces U 3) T likes Orange 4) Q sits third to the right of V 5) All of the above 94. Which of the following statement regarding R is false? 1) R faces Q 2) U sits second to the right of R 3) R sits third to the left of S 4) P sits immediate right of R 5) None of these 95. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group? 1) Q - R 2) U - P 3) T - S 4) V - W 5) W - P Directions (Q.No. 96-99): Study the following information carefully and answer the questions given below. Point P is 15 m East of point Q. Point R is 5 m to the North of point P. Point S is 5 m West of point R. Point T is 10 m South of point S. Point U is 5 m West of point T. Point V is 10 m North of point U. Point W is 5 m West of point V. 96. Point W is in which direction with respect to point P? 1) South - East 2) South 3) East 4) North - West 5) None of these 97. If point X is south of point W at a distance of 10 m, then what is the distance between point T and point X? 1) 14 m 2) 10 m 3) 15 m 4) 11 m 5) None of these 98. What is the shortest distance between point U and point S? 1) 5 m 2) 6 m 3) 7 m 4) 5 5 m 5) None of these 99. Point T is in which direction with respect to point V? 1) South - East 2) South 3) East 4) North - East 5) None of these 100. In a certain code 'BLACK' is coded as 'CNDGP' and 'LITON' is coded as 'MKWSS', then what will be the code for the word 'SPARK' ? 1) TRDVP 2) PRDVT 3) TDRVP 4) TRVDP 5) None of these No. of Questions: 100 Max. Marks: 100 Time: 60 Minutes IBPS POs Model Paper Preliminary Exam Eìoæ¨ êŸô¢ªî¦ô³ KEY 1-5; 2-1; 3-2; 4-4; 5-5; 6-3; 7-1; 8-3; 9-5; 10-4; 11-3; 12-2; 13-1; 14-4; 15-1; 16-2; 17-3; 18-2; 19-4; 20-2; 21-3; 22-2; 23-3; 24-2; 25-3; 26-2; 27-3; 28-4; 29-3; 30-2; 31-3; 32-1; 33-1; 34-5; 35-5; 36-5; 37-3; 38-2; 39-1; 40-1; 41-5; 42-1; 43-3; 44-3; 45-1; 46-1; 47-3; 48-5; 49-2; 50-3; 51-2; 52-4; 53-1; 54-3; 55-4; 56-2; 57-4; 58-1; 59-4; 60-2; 61-4; 62-2; 63-3; 64-1; 65-5; 66-4; 67-3; 68-5; 69-2; 70-3; 71-1; 72-4; 73-4; 74-5; 75-5; 76-3; 77-4; 78-3; 79-5; 80-5; 81-3; 82-4; 83-5; 84-5; 85-5; 86-3; 87-1; 88-2; 89-4; 90-3; 91-3; 92-2; 93-4; 94-4; 95-5; 96-4; 97-2; 98-4; 99-1; 100-1. (This Model Paper was prepared by Subject Experts of RACE Academy, Hyderabad) þ»õ«uù£ìx ÚÁú£Ù https://tinyurl.com/yavmrxgy LÙÚ öË¶ë¯ www.eenadupratibha.net àŸ«è[÷àŸªa.

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email: [email protected]Þœªô¢ªî¦ô¢Ù 26 šúšídÙñô¢ª 2019 -

67. Statements: Some books are notes. All books are stationery. No notes are pens.Conclusions: 1) Some stationery are not pen. 2) All books being notes is a possibility. 3) No pen is stationery.4) All stationery are not pens. 5) Some books are not pen.

68. Statements: All blades are sharp. Some blades are blunt. No blunt is a sword.Conclusions: 1) Some sharp are not sword. 2) All blunt being sharp is a possibility.3) Some blades are not sword. 4) All sword can be blade. 5) All sharp can be sword.

69. If all the vowels of the word ‘INDEPEN-DENCE’ are replaced by its succeeding letteraccording to the English alphabet and all theconsonant are replaced with their previousletter according to the English alphabet andthen all the letters are arranged in thealphabetical order. Then, how many lettersare there between the third letter from the leftand second letter from the right in the Englishalphabetic series?1) 11 2) 9 3) 12 4) 10 5) None of these

70. How many meaningful words can beformed using first, second, fifth and eighthletter of the word 'STATEMENT'. If morethan one meaningful word formed thenmark your answer as X and if not thenwhich of the following is the second letter ofthat meaningful word?1) S 2) N 3) X 4) T 5) E

Directions (Q.No.71-75): Study the followinginformation carefully and answer the questionsgiven below.

Eight persons i.e., P, Q, R, S, T, U, V and Ware sitting in a linear row with some are facing inNorth direction and rest facing in South direction.Two persons sitting together do not face in thesame direction and so on. All of them like adifferent colors i.e., Blue, Pink, Yellow, Cream,Black, Green, Brown and Violet. All informationis not necessarily in the same order. Only fivepersons sit between P and T. P sits at one of theend of the row. Two persons sit between T andthe one who likes Cream. T sits to the right of P.The one who likes Black sits third to the left of theone who likes Cream. As many persons sits tothe right of T as there sits to the right of the onewho likes Pink color. The one who likes yellowcolor sits to the immediate left of W andimmediate right of R. W does not like Cream. Pdoes not like Yellow. V sits to the immediate rightof S. S does not face North. U does not likeYellow and Blue. V likes Violet. S does not likeGreen and Blue. As many persons sits to the leftof Q as there are to the left of S.71. Who among the following likes Cream color?

1) R 2) Q 3) W 4) P 5) None of these72. How many persons are sitting between the

one who likes Yellow color and U?1) one 2) two 3) three 4) four 5) more than five

73. Who among the following sits to theimmediate left of the one who likes Blackcolor?1) S 2) The one who likes Brown color 3) The one who likes Green color4) Both (1) and (2) 5) Both (1) and (3)

74. Which statement among the following istrue regarding V?1) V likes Pink Color 2) V likes Green Color 3) V sits to the immediate left of P4) V sits to the immediate right of Q 5) None is true

75. Four of the following five are alike in acertain way and hence they form a group.Which one of the following does not belongto that group?1) P - Blue 2) W - Pink 3) Q - Yellow 4) R - Cream 5) U - Black

Directions (Q.No.76-80): Study the followinginformation carefully and answer the questionsbelow.

Nine persons i.e., O, P, Q, R, V, W, X, Y andZ are living in a building having three floors i.e.,ground floor numbered as 1, floor above it isnumbered as 2 and so on till top floor isnumbered as 3. Each floor has three flats i.e.,Flat 1, Flat 2 and Flat 3. Flat 1 of Floor 2 isimmediate above Flat 1 of Floor 1 and immediatebelow Flat 1 of Floor 3. Similarly Flat 2 of Floor 2is immediate above Flat 2 of Floor 1 andimmediate below Flat 2 of Floor 3 and so on. Flat2 of each floor is to the East of Flat 1 of eachFloor and West of Flat 3 of each Floor. Q livesabove Z but on the same Flat number. Q lives onan even number Floor. P lives in the South Westdirection of Q. V and R lives on same floor andon odd Flat numbers. X lives just below V but onthe same Flat number. Nobody lives to the SouthWest of X. W lives to the North West of O, wholives on odd number floor.76. Who among the following lives on Flat 2 of

Floor 2?1) P 2) X 3) Q 4) O 5) None of these

77. Who among the following lives to the NorthEast of X?1) W 2) R 3) V 4) either (1) or (2) 5) either (2) or (3)

78. V lives on which of the following Floor - Flat?1) Floor 1 - Flat 1 2) Floor 2 - Flat 1 3) Floor 3 - Flat 1 4) Floor 3 - Flat 3 5) None of these

79. Which statement among the following istrue regarding R?1) R and W lives on the same Floor2) R and Y lives on the same Flat number3) R lives on an odd Flat number4) R lives to the North East with respect to P5) All above statements are true

80. Four of the following five are alike in acertain way and hence they form a group.Which one of the following does not belongto that group?1) V 2) R 3) P 4) O 5) Q

Directions (Q.No.81-85): Study the followinginformation carefully and answer the questionsgiven below.

Nine persons i.e., J, K, L, M, N, O, P, Q andR were born on three different dates i.e., 3, 5and 8 of three different months i.e. March, Apriland May. They all like a different number i.e., 1,2, 3, 4, 5, 6, 7, 8 and 9. All information is notnecessarily in the same order. J was born inMarch. As many persons were born before J asthere were after Q. As many persons were bornbetween J and M as born between M and Q. Lwas born just after the one who likes number 1and just before the one who likes number 2. Lis not born on an even date. Q does not likenumber 1 and number 2. The one who likesnumber 2 was born on an even date. Threepersons were born between the one who likes

number 2 and the one who likes number 7. Theone who likes number 5 was born just after theone who likes number 6 and just before the onewho likes number 4. N was born after K butbefore O. R likes number 9 and is born on anodd date. O does not like number 7. P was bornafter O. Q does not like number 3. P does notlike number 8 and 3.81. Who among the following likes number 3?

1) J 2) K 3) L 4) M 5) None of these82. How many persons were born between the

one who likes number 9 and K?1) one 2) two 3) three 4) four 5) more than five

83. Who among the following was born justbefore the one who was born on 8th ofApril?1) M 2) The one who likes number 4 3) The one who likes number 54) Both (1) and (2) 5) Both (1) and (3)

84. Which statement among the following istrue regarding O?1) O likes number 4 2) O was born on 8th of a month 3) O was born in April4) O was born just after M 5) All is true

85. Four of the following five are alike in acertain way and hence they form a group.Which one of the following does not belongto that group?1) J - 1 2) L - 3 3) K - 2 4) N - 6 5) R - 5

Directions (Q.No.86-89): Read the informationcarefully and answer the following questions.

There are ten persons in the family havingthree generation. T is grandmother of X. N issister of X. P is sister-in-law of T. V is father ofN. W is daughter-in-law of S. X is son of W. Ris daughter of P. Q is nephew of S. Y issister-in-law of N.86. How is W related to Y?

1) Son 2) Wife 3) Mother-in-law 4) Daughter 5) None of these

87. If M is son of X, then how is N related to M?1) Aunt 2) Son 3) Mother 4) Sister 5) None of these

88. How is R related to S?1) Nephew 2) Niece 3) Daughter 4) Son 5) None of these

89. If M is son of X, then how is W related to M?1) Grand father 2) Mother 3) Daughter 4) Grand mother 5) None of these

90. How many such numerals are there in thenumber '7382956482' which will remain atthe same position when arranged inascending order from right to left?1) One 2) Two 3) Three 4) Four 5) None

Directions (Q.No.91-95): Study the followinginformation carefully and answer the questionsgiven below.

Eight persons i.e., P, Q, R, S, T, U, V and Ware sitting around a rectangular table and facinginside such that four of them sits at the cornerand four of them sits at the middle of the sides.All of them likes different colors i.e., Orange,Black, Pink, Yellow, White, Blue, Red andViolet. All information not necessarily in thesame order. Q sits second to the right of U, wholikes Violet. Three persons sit between Q and R,who likes yellow. T is an immediate neighbor ofR. Only one person sits between V and T. Vlikes white. T faces S, who likes blue. V is animmediate neighbor of R and U. W is animmediate neighbor of P, who likes Orange. P isnot a neighbor of Q. W and Q do not like Pink. Vfaces the one who likes black. The one wholikes red does not sits at the corner.

91. Who among the following faces the onewho sits second to the left of S?1) P 2) T 3) W 4) Q 5) None of these

92. Who among the following sits to theimmediate right of U?1) W 2) The one who likes Blue 3) V 4) Q 5) None of these

93. Which of the following statement is true?1) S faces W 2) Q faces U 3) T likes Orange 4) Q sits third to the right of V5) All of the above

94. Which of the following statement regardingR is false?1) R faces Q 2) U sits second to the right of R 3) R sits third to the left of S4) P sits immediate right of R 5) None of these

95. Four of the following five are alike in acertain way and hence they form a group.Which one of the following does not belongto that group?1) Q - R 2) U - P 3) T - S 4) V - W 5) W - P

Directions (Q.No. 96-99): Study the followinginformation carefully and answer the questionsgiven below.

Point P is 15 m East of point Q. Point R is 5m to the North of point P. Point S is 5 m West ofpoint R. Point T is 10 m South of point S. PointU is 5 m West of point T. Point V is 10 m Northof point U. Point W is 5 m West of point V.96. Point W is in which direction with respect to

point P?1) South - East 2) South 3) East 4) North - West 5) None of these

97. If point X is south of point W at a distance of10 m, then what is the distance betweenpoint T and point X?1) 14 m 2) 10 m 3) 15 m 4) 11 m 5) None of these

98. What is the shortest distance between pointU and point S?1) 5 m 2) 6 m 3) 7 m 4) 55 m 5) None of these

99. Point T is in which direction with respect topoint V?1) South - East 2) South 3) East 4) North - East 5) None of these

100. In a certain code 'BLACK' is coded as'CNDGP' and 'LITON' is coded as'MKWSS', then what will be the code forthe word 'SPARK' ?

1) TRDVP 2) PRDVT 3) TDRVP 4) TRVDP 5) None of these

No. of Questions: 100 Max. Marks: 100 Time: 60 Minutes

IBPS POs Model PaperPreliminary Exam

Eìoæ¨ êŸô¢ªî¦ô³

KEY1-5; 2-1; 3-2; 4-4; 5-5; 6-3; 7-1; 8-3; 9-5;10-4; 11-3; 12-2; 13-1; 14-4; 15-1; 16-2;17-3; 18-2; 19-4; 20-2; 21-3; 22-2; 23-3;24-2; 25-3; 26-2; 27-3; 28-4; 29-3; 30-2;31-3; 32-1; 33-1; 34-5; 35-5; 36-5; 37-3;38-2; 39-1; 40-1; 41-5; 42-1; 43-3; 44-3;45-1; 46-1; 47-3; 48-5; 49-2; 50-3; 51-2;52-4; 53-1; 54-3; 55-4; 56-2; 57-4; 58-1;59-4; 60-2; 61-4; 62-2; 63-3; 64-1; 65-5;66-4; 67-3; 68-5; 69-2; 70-3; 71-1; 72-4;73-4; 74-5; 75-5; 76-3; 77-4; 78-3; 79-5;80-5; 81-3; 82-4; 83-5; 84-5; 85-5; 86-3;87-1; 88-2; 89-4; 90-3; 91-3; 92-2; 93-4;94-4; 95-5; 96-4; 97-2; 98-4; 99-1; 100-1.

(This Model Paper was prepared by

Subject Experts of RACE Academy, Hyderabad)

þ»õ«uù£ìx ÚÁú£Ù https://tinyurl.com/yavmrxgy LÙÚ ö˶ë¯

www.eenadupratibha.net àŸ«è[÷àŸªa.

email: [email protected]Þœªô¢ªî¦ô¢Ù 26 šúšídÙñô¢ª 2019 -

1. ÖÚÛ ú£÷ªõÙñ àŸêŸªô¢ª(Äá î�μjø‹õuÙ 26šúÙ.Oª.2 ë¯E òÅ¡ªâ°õ ð»è[÷±õ îμ³êŸhÙ 8šúÙ.Oª. Íô³ê¶ Î ú£÷«ÙêŸô¢ àŸêŸªô¢ª(ÄáÙÑìoA (altitude) ÓÙêŸ? (šúÙ.Oª.õö˺)1) 4.5 2) 5.5 3) 6.5 4) 7.5

ú£÷«ëůìÙ: 3þ§ëÅ]ì: A = 26 šúÙ.Oª.2,

a + b = 8 šúÙ.Oª., h = ?1

A = (a + b)h2

126 = (8)h

2

26 = 4h

26 h = = 6.5 šúÙ.Oª.

4

2. ÖÚÛ ú£÷ªõÙñ àŸêŸªô¢ª(Äá î�μjø‹õuÙ 112àŸ.šúÙ.Oª., Ó꟪h 7 šúÙ.Oª. ë¯Eö˺ ÖÚÛú£÷«ÙêŸô¢ òÅ¡ªáÙ ð»è[÷± ·ôÙèÁ ú£÷«ÙêŸô¢òÅ¡ªáÙ ð»è[÷± ÚÛÙç˶ 4 šúÙ.Oª. ÓÚÛª\÷.Íô³ê¶ Î ú£÷«ÙêŸô¢ òÅ¡ªâ°õ ð»è[÷±õª÷ô¢ªú£Þ¥ (šúÙ.Oª.õö˺)1) 14, 18 2) 15, 19

3) 12, 16 4) 13, 17

ú£÷«ëůìÙ: 1

þ§ëÅ]ì: ú£÷«ÙêŸô¢ àŸêŸªô¢ª(Äá î�μjø‹õuÙ (A) =112 àŸ.šúÙ.Oª., Ó꟪h (h) = 7šúÙ.Oª.

ú£÷«ÙêŸô¢ òÅ¡ªâ°ö˺x ÖÚÛ òÅ¡ªáÙ b = xÍìªÚÛªÙë¯Ù a = x + 4

1A = (a + b)h

2

1112 = (x + x + 4)7

2

1112 = (2x + 4)72

112 2 (2x + 4) = 7

2x + 4 = 32

2x = 32 4 = 28

28 x = = 14 šúÙ.Oª.2

x = 14 šúÙ.Oª.x + 4 = 14 + 4 = 18 šúÙ.Oª.Î ú£÷«ÙêŸô¢ òÅ¡ªâ°õ ð»è[÷±õª ÷ô¢ªú£Þ¥14 šúÙ.Oª., 18 šúÙ.Oª.

3. ÖÚÛ ú£÷ªõÙñ àŸêŸªô¢ª(ÄáÙ òÅ¡ªâ°õª ÷ô¢ªú£Þ¥20 šúÙ.Oª., 10 šúÙ.Oª. ë¯Eö˺Íú£÷«ÙêŸô¢ òÅ¡ªâ°õª ÖÚÁ\æ¨ 13 šúÙ.Oª.ð»è[÷±ìª ÚÛLT Ñû¦oô³. Íô³ê¶ ë¯Eî�μjø‹õuÙ ÓÙêŸ? (àŸ.šúÙ.Oª.õö˺)1) 140 2) 160 3) 175 4) 180

ú£÷«ëůìÙ: 4þ§ëÅ]ì: ABCD ÖÚÛ ú£÷ªõÙñ àŸêŸªô¢ª(ÄáÙ

AD = 10 šúÙ.Oª., BC = 20 šúÙ.Oª.AB = DC = 13 šúÙ.Oª.DL "" AB Ú¥ñæ¨d DL = 13 šúÙ.Oª. DLC Íû¶C ÖÚÛ ú£÷ªCyò°ï£‚ vAòÅ¡ªáÙ

1 LM = MC = LC

2

1 = [20 10]2

1= 10 = 5 šúÙ.Oª.

2

šíjëǯޜô¢úà ú‡ë¯ÌÄÙêŸÙ ví£Ú¥ô¢ÙDL2 = LM2 + DM2

132 = 52 + DM2

169 = 25 + DM2

DM2 = 169 25 = 144

DM = 144 = 12 šúÙ.Oª.

DM = h = 12 šúÙ.Oª.ABCD ú£÷ªõÙñ àŸêŸªô¢ª(Äá î�μjø‹õuÙ

1= (a + b) h2

(a = 20 šúÙ.Oª., b = 10 šúÙ.Oª., h = 12

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1= 30 122

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