AP DEECET 2019 Question Paper Mathematics (Tamil)
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AP DEECET 2019 Question Paper Mathematics (Tamil) – Text
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Page 1
DEECET-2019
Maths - TAMIL
1. Which of these is NOT a fundamental element of teaching?
1. Student
2. Teacher
3. Subject
4. Discipline
•θχΚηΟΞσ°ο Κσ♦ιΘ←τ ≅⁄κΣûΟ ≅λΜλ ≅οΩôΘÕ
1. ΤôΠΞτ
2. Α′↔Υν
3. ΣôΟλ
4. ΙÝχΚλ
2. Which type of teaching is carried out within the family or in community
during initial years of life?
1. Formal
2. Informal
3. Non- formal
4. Online
ΞôθχûΚ♠τ ΑςλΣΚôΩδΚ↓ο ÏÓλΣιƒο ≅οΩÕ
ΜêΚιƒο ùΜΥοΣÓιΘκΣÓλ Κσ♦ιΘο ΞûΚ
1. Øû[ΜôνϕΘ
2. ΘσùΜΥΩô∴
3. Øû[Μôςô
4. ♣ΚθΞ→∋ΑτûΩτ(
Maths - TAMIL
1. Which of these is NOT a fundamental element of teaching?
1. Student
2. Teacher
3. Subject
4. Discipline
•θχΚηΟΞσ°ο Κσ♦ιΘ←τ ≅⁄κΣûΟ ≅λΜλ ≅οΩôΘÕ
1. ΤôΠΞτ
2. Α′↔Υν
3. ΣôΟλ
4. ΙÝχΚλ
2. Which type of teaching is carried out within the family or in community
during initial years of life?
1. Formal
2. Informal
3. Non- formal
4. Online
ΞôθχûΚ♠τ ΑςλΣΚôΩδΚ↓ο ÏÓλΣιƒο ≅οΩÕ
ΜêΚιƒο ùΜΥοΣÓιΘκΣÓλ Κσ♦ιΘο ΞûΚ
1. Øû[ΜôνϕΘ
2. ΘσùΜΥΩô∴
3. Øû[Μôςô
4. ♣ΚθΞ→∋ΑτûΩτ(
Page 2
3. What was learnt in the class can be applied to daily life is called
1. Application
2. Knowledge
3. Intelligence
4. Originality
ΞÏκΣû[♠ο Κσ[Ξσû[ ≅τ[ôΟ ΞôθχûΚ♠ο
ΣΥτΣÓιƒχ ùΚôρÞΘο ΦτΣÕ
1. ΣΥτΣÓιÕΘο
2. ≅°Ü
3. ÖηΠ°Ü
4. ∆ηûΤΘτûΤ
4. _______ student / students is/are unique
1. All
2. One
3. Every
4. None
_______ ΤôΠΞτ / ΤôΠΞνΚρ Θ±ιΘτûΤ
ΞôµϕΘΞτ / ΞôµϕΘΞνΚρ
1. ≅û∴ΞÚλ
2. ΙÚ
3. ΙπùΞôÚ
4. ΦΞÚ♥οûΩ
1. Application
2. Knowledge
3. Intelligence
4. Originality
ΞÏκΣû[♠ο Κσ[Ξσû[ ≅τ[ôΟ ΞôθχûΚ♠ο
ΣΥτΣÓιƒχ ùΚôρÞΘο ΦτΣÕ
1. ΣΥτΣÓιÕΘο
2. ≅°Ü
3. ÖηΠ°Ü
4. ∆ηûΤΘτûΤ
4. _______ student / students is/are unique
1. All
2. One
3. Every
4. None
_______ ΤôΠΞτ / ΤôΠΞνΚρ Θ±ιΘτûΤ
ΞôµϕΘΞτ / ΞôµϕΘΞνΚρ
1. ≅û∴ΞÚλ
2. ΙÚ
3. ΙπùΞôÚ
4. ΦΞÚ♥οûΩ
Page 3
5. Identify the odd one
1. Black-board
2. Chalk piece
3. Pencil
4. Pen
•θχΚηΟΞσ°ο úΞßΣγΟûΘχ ΚηΟ°
1. ΚÚλΣΩûΚ
2. ÑηΠχΚγ⁄
3. ùΣτ′ο
4. úΣ∴ô
1. Black-board
2. Chalk piece
3. Pencil
4. Pen
•θχΚηΟΞσ°ο úΞßΣγΟûΘχ ΚηΟ°
1. ΚÚλΣΩûΚ
2. ÑηΠχΚγ⁄
3. ùΣτ′ο
4. úΣ∴ô
Page 4
6. This is not included in the Adisankaracharya Mutt
1. Puri
2. Shringeri
3. Varanasi
4. Dwaraka
ΑƒΜδΚςôεΜôνΥô↑τ ΤΟιƒσÏ ùΘôΟν♦οΩôΘ Ιτß
1. é↔
2. ′ÚδúΚ↔
3. ΞôςΠô′
4. ÕΞôςΚô
1. Puri
2. Shringeri
3. Varanasi
4. Dwaraka
ΑƒΜδΚςôεΜôνΥô↑τ ΤΟιƒσÏ ùΘôΟν♦οΩôΘ Ιτß
1. é↔
2. ′ÚδúΚ↔
3. ΞôςΠô′
4. ÕΞôςΚô
Page 5
7. KUSUM (Kisan Urja Suraksha Evam Utthaan Mahabhiyan Scheme) as
approved by the Union Cabinet in February 2019 is meant for the
provision of this safety to the farmers
1. Economic and Water
2. Political and Social
3. Religious and Political
4. Educational and Spiritual
↑ΞΜô♠ΚÞχÏ •θχΚηΟ ΣôÕΚôκûΣ ≅↓χΚ 2019
♦κςΞ↔♠ο ΤιƒΥ ≅ûΤεΜûΞΥôο KUSUM (Kisan Urja
Suraksha Evam Utthaan Mahabhiyan Scheme) ΑúΤôƒχΚκΣγΟÕ−
1. ùΣôÚΖôΘôςλ Τσßλ ¿ν
2. ≅ς′Υο Τσßλ ΜêΚλ
3. ΤΘεΜôνΣô∴ Τσßλ ≅ς′Υο
4. Κο↑ Τσßλ ΑτÁΚλ
approved by the Union Cabinet in February 2019 is meant for the
provision of this safety to the farmers
1. Economic and Water
2. Political and Social
3. Religious and Political
4. Educational and Spiritual
↑ΞΜô♠ΚÞχÏ •θχΚηΟ ΣôÕΚôκûΣ ≅↓χΚ 2019
♦κςΞ↔♠ο ΤιƒΥ ≅ûΤεΜûΞΥôο KUSUM (Kisan Urja
Suraksha Evam Utthaan Mahabhiyan Scheme) ΑúΤôƒχΚκΣγΟÕ−
1. ùΣôÚΖôΘôςλ Τσßλ ¿ν
2. ≅ς′Υο Τσßλ ΜêΚλ
3. ΤΘεΜôνΣô∴ Τσßλ ≅ς′Υο
4. Κο↑ Τσßλ ΑτÁΚλ
Page 6
8. Recently South Africa unveiled this telescope for providing information
on the Milky Way and other galaxies.
1. Meerut
2. Meerkat
3. Meerbhum
4. Memory
ΣôοΘΟ ΞôτΚδûΚ Τσßλ ΒΘς ΞôτΚδûΚΚÞχÏ
ùΘôΟνΣô∴ ΘΚΞοΚûΖ ùΣßΞΘσÏ ùΘτΑκ↔χΚô ΒϕΘ
ùΘôûΩúΡôχ€ûΥ ♣ß↑ÙρΖÕ
1. Áςγ
2. ÁνΚôγ
3. ÁνΣλ
4. ùΤúΤô↔
on the Milky Way and other galaxies.
1. Meerut
2. Meerkat
3. Meerbhum
4. Memory
ΣôοΘΟ ΞôτΚδûΚ Τσßλ ΒΘς ΞôτΚδûΚΚÞχÏ
ùΘôΟνΣô∴ ΘΚΞοΚûΖ ùΣßΞΘσÏ ùΘτΑκ↔χΚô ΒϕΘ
ùΘôûΩúΡôχ€ûΥ ♣ß↑ÙρΖÕ
1. Áςγ
2. ÁνΚôγ
3. ÁνΣλ
4. ùΤúΤô↔
Page 7
9. Select the correct answer with reference to the Parties founded by
Dr. B.R. Ambedkar
A) All India Scheduled Caste Federation
B) Independent Labour Party
C) Peasants and Workers Party of India
1. Both A and B
2. C only
3. Both A and C
4. A only
ΟôχΟν− B.R. ≅λúΣιΚςôο ♣ßΞκΣγΟ Κγ′ΚÞχÏ
ùΘôΟνΣô∴ Μ↔Υô∴ ùΣôÚιΘιûΘ úΘνϕùΘÓ−
A) ≅û∴ιƒϕƒΥ ΘôθιΘκΣγΟ ΤχΚ↓τ áγΟûΤκ×
B) ÑΘϕƒς ùΘô→ΩôΖν Κγ′
C) ΒϕƒΥ ↑ΞΜô♠Κρ Τσßλ ùΘô→ΩôΖνΚρ Κγ′
1. A, B ΒςηÓλ
2. C ΤγÓλ
3. A, C ΒςηÓλ
4. A ΤγÓλ
Dr. B.R. Ambedkar
A) All India Scheduled Caste Federation
B) Independent Labour Party
C) Peasants and Workers Party of India
1. Both A and B
2. C only
3. Both A and C
4. A only
ΟôχΟν− B.R. ≅λúΣιΚςôο ♣ßΞκΣγΟ Κγ′ΚÞχÏ
ùΘôΟνΣô∴ Μ↔Υô∴ ùΣôÚιΘιûΘ úΘνϕùΘÓ−
A) ≅û∴ιƒϕƒΥ ΘôθιΘκΣγΟ ΤχΚ↓τ áγΟûΤκ×
B) ÑΘϕƒς ùΘô→ΩôΖν Κγ′
C) ΒϕƒΥ ↑ΞΜô♠Κρ Τσßλ ùΘô→ΩôΖνΚρ Κγ′
1. A, B ΒςηÓλ
2. C ΤγÓλ
3. A, C ΒςηÓλ
4. A ΤγÓλ
Page 8
10. A prominent musical tradition of the following community in North West
India
1. Panchayatan
2. Kalaripattu
3. Manganiyars
4. Mohiniyattam
ΞΟúΤσÏ ΒϕƒΥô↑ο ∆ρΖ Øχ€Υ ΒûΜ
ΚΩôεΜôς ΜêΚλ
1. ΣφΜôΥΟτ
2. ΚΩ↔ΣγÓ
3. ΤδΚ±ΥôνΚρ
4. úΤô€±ΥôγΟλ
India
1. Panchayatan
2. Kalaripattu
3. Manganiyars
4. Mohiniyattam
ΞΟúΤσÏ ΒϕƒΥô↑ο ∆ρΖ Øχ€Υ ΒûΜ
ΚΩôεΜôς ΜêΚλ
1. ΣφΜôΥΟτ
2. ΚΩ↔ΣγÓ
3. ΤδΚ±ΥôνΚρ
4. úΤô€±ΥôγΟλ
Page 9
11. P.V. Sindhu is a great woman in the athletic arena of Asia.
The word ‘arena’ in the above sentence indicates.
1. the outdoor
2. the indoor
3. the core
4. the world
12. We dined yesterday at ________ Maurya Hotel.
Choose the correct article that fits the blank.
1. a
2. an
3. the
4. No article is needed.
13. Choose the coordinating conjunction from the following.
1. whether
2. when
3. yet
4. as long as
The word ‘arena’ in the above sentence indicates.
1. the outdoor
2. the indoor
3. the core
4. the world
12. We dined yesterday at ________ Maurya Hotel.
Choose the correct article that fits the blank.
1. a
2. an
3. the
4. No article is needed.
13. Choose the coordinating conjunction from the following.
1. whether
2. when
3. yet
4. as long as
Page 10
14. I closed the door. Somebody knocked again.
Choose the expression or conjunction that can be used to combine
the two sentences above.
1. If ..... not
2. No sooner ….. than
3. so ….. that
4. and ….. therefore
15. The following is the characteristic of a one act play.
1. twist ending
2. focus on many incidents
3. more number of characters
4. many settings many locations
Choose the expression or conjunction that can be used to combine
the two sentences above.
1. If ..... not
2. No sooner ….. than
3. so ….. that
4. and ….. therefore
15. The following is the characteristic of a one act play.
1. twist ending
2. focus on many incidents
3. more number of characters
4. many settings many locations
Page 13
21. ‘úΚηûΤ’ ΦτΣΘτ ùΣôÚρ
1. ΣûΚ
2. Ργ×
3. ΘδûΚ
4. Θλ♦
22. ‘ΒûΞ ΒûΞ’ ΦτΣΘτ ΒΩχΚΠχ Ï°κ×
1. ∆ΞûΤιùΘôΟν
2. ∆λûΤιùΘôΟν
3. ΦÝΞôµιùΘôΟν
4. ≅ÓχÏιùΘôΟν
1. ΣûΚ
2. Ργ×
3. ΘδûΚ
4. Θλ♦
22. ‘ΒûΞ ΒûΞ’ ΦτΣΘτ ΒΩχΚΠχ Ï°κ×
1. ∆ΞûΤιùΘôΟν
2. ∆λûΤιùΘôΟν
3. ΦÝΞôµιùΘôΟν
4. ≅ÓχÏιùΘôΟν
Page 14
23. ‘ΡôΩ⁄Υôν’ èûΩ ΒΥσ°ΥΞν
1. ΜΤΠرΞν
2. ΚλΣν
3. ƒÚΞρÞΞν
4. ΡοΩôΘ∴ôν
24. ƒÚêΩν ΒΥσ°Υ èο
1. ƒÚκΣôûΞ
2. ƒÚùΞλΣôûΞ
3. ƒÚΤϕƒςλ
4. ƒÚΞρÞΞΤôûΩ
25. ‘ΒΩôΚô’ Φàλ ♦[ùΤô→ε ùΜôο←σΚô∴ Θ♥θεùΜôο
1. Õû[
2. Õûς
3. ΒτûΤ
4. çµûΤ
1. ΜΤΠرΞν
2. ΚλΣν
3. ƒÚΞρÞΞν
4. ΡοΩôΘ∴ôν
24. ƒÚêΩν ΒΥσ°Υ èο
1. ƒÚκΣôûΞ
2. ƒÚùΞλΣôûΞ
3. ƒÚΤϕƒςλ
4. ƒÚΞρÞΞΤôûΩ
25. ‘ΒΩôΚô’ Φàλ ♦[ùΤô→ε ùΜôο←σΚô∴ Θ♥θεùΜôο
1. Õû[
2. Õûς
3. ΒτûΤ
4. çµûΤ
Page 15
26. Σρ↓ , ΒεùΜôο←σΚô∴ ΤôιƒûςΚûΖ áγÓΚ−
1
1. 5
2
1
2. 4
2
1
3. 3
2
1
4. 2
2
27. ≅φÑ ΦτΣÕ ΒπΞûΚκúΣô←
1. ØΘσúΣô←
2. ΒûΟκúΣô←
3. ØσßκúΣô←
4. ΚûΟκúΣô←
28. Φτ ΤôΤô ΞϕΘÕ , ΦτΣÕ ΒπΞûΚ ΞÝ
1. Σôο ΞÝ
2. ƒûΠ ΞÝ
3. ΒΟ ΞÝ
4. Τς× ΞÝ
1
1. 5
2
1
2. 4
2
1
3. 3
2
1
4. 2
2
27. ≅φÑ ΦτΣÕ ΒπΞûΚκúΣô←
1. ØΘσúΣô←
2. ΒûΟκúΣô←
3. ØσßκúΣô←
4. ΚûΟκúΣô←
28. Φτ ΤôΤô ΞϕΘÕ , ΦτΣÕ ΒπΞûΚ ΞÝ
1. Σôο ΞÝ
2. ƒûΠ ΞÝ
3. ΒΟ ΞÝ
4. Τς× ΞÝ
Page 16
29. ΒÚ↑û∴ , ↑↔ιùΘÝÕΚ−
1. ΒΥο+ ΒûΜ
2. ≅[λ+ ùΣôÚρ
3. ∆ΥνƒûΠ+ ≅?°ûΠ
4. Ρο↑û∴+ ¾↑û∴
30. ΦγÓιùΘôûΚ èοΚÞρ Ιτß
1. ÏßϕùΘôûΚ
2. ′ΩκΣƒΚôςλ
3. ƒÚχÏ[ρ
4. Τ∞úΤΚûΩ
1. ΒΥο+ ΒûΜ
2. ≅[λ+ ùΣôÚρ
3. ∆ΥνƒûΠ+ ≅?°ûΠ
4. Ρο↑û∴+ ¾↑û∴
30. ΦγÓιùΘôûΚ èοΚÞρ Ιτß
1. ÏßϕùΘôûΚ
2. ′ΩκΣƒΚôςλ
3. ƒÚχÏ[ρ
4. Τ∞úΤΚûΩ
Page 17
31. At what rate per annum will the principle becomes four times in
15 years
Αη⁄σÏ ΦϕΘ ÅΘιƒο 04 ΑηÓΚ↓ο ≅ΜΩô∴Õ
ΡôτÏ ΤΟδΚôÏλ>
1. 25%
2. 20%
3. 15%
4. 12.5%
3
32. The difference of 1 and its reciprocal is equal to _________
16
3
1 Τσßλ ≅Θτ ùΣÚχΚο ΘûΩ•→ Α€ΥΞσ°τ
16
↑ιƒΥôΜλ _________
304
1.
105
152
2.
105
135
3.
304
105
4.
304
15 years
Αη⁄σÏ ΦϕΘ ÅΘιƒο 04 ΑηÓΚ↓ο ≅ΜΩô∴Õ
ΡôτÏ ΤΟδΚôÏλ>
1. 25%
2. 20%
3. 15%
4. 12.5%
3
32. The difference of 1 and its reciprocal is equal to _________
16
3
1 Τσßλ ≅Θτ ùΣÚχΚο ΘûΩ•→ Α€ΥΞσ°τ
16
↑ιƒΥôΜλ _________
304
1.
105
152
2.
105
135
3.
304
105
4.
304
Page 18
33. A verandah 2mt wide is constructed all around a room of dimensions
10 mt × 6 mt. Find the area of the verandah.
1. 80 sq mt
2. 60 sq mt
3. 140 sq mt
4. 36 sq mt
10 Á I 6 Á ≅ΖÜΚûΖχ ùΚôηΟ ΙÚ ≅û[ûΥε Ñσ°
1 Á ≅ΚΩλ ùΚôηΟ ΞςôηΟô ∆ρΖÕ Φ±ο
ΞςηΟô↑τ ΣςκΣΖÜ
1. 80 Μ−Á
2. 60 Μ−Á
3. 140 Μ−Á
4. 36 Μ−Á
34. In a class of 80 pupils the number of girls is three fifths of the
number of boys. Find the number of boys in the class _______
ùΤôιΘλ 7/ ΤôΠôχΚνΚρ ∆ρΖ ΙÚ ΞÏκ♦ο+
ΤôΠ↑Κ↓τ Φη∞χûΚΥô∴Õ+ ΤôΠΞνΚ↓τ
3
Φη∞χûΚ♠ο ΣôΚλ Φ±ο ΞÏκ♦ο ∆ρΖ
5
ΤôΠΞνΚ↓τ Φη∞χûΚ _______
1. 30
2. 40
3. 50
4. 60
10 mt × 6 mt. Find the area of the verandah.
1. 80 sq mt
2. 60 sq mt
3. 140 sq mt
4. 36 sq mt
10 Á I 6 Á ≅ΖÜΚûΖχ ùΚôηΟ ΙÚ ≅û[ûΥε Ñσ°
1 Á ≅ΚΩλ ùΚôηΟ ΞςôηΟô ∆ρΖÕ Φ±ο
ΞςηΟô↑τ ΣςκΣΖÜ
1. 80 Μ−Á
2. 60 Μ−Á
3. 140 Μ−Á
4. 36 Μ−Á
34. In a class of 80 pupils the number of girls is three fifths of the
number of boys. Find the number of boys in the class _______
ùΤôιΘλ 7/ ΤôΠôχΚνΚρ ∆ρΖ ΙÚ ΞÏκ♦ο+
ΤôΠ↑Κ↓τ Φη∞χûΚΥô∴Õ+ ΤôΠΞνΚ↓τ
3
Φη∞χûΚ♠ο ΣôΚλ Φ±ο ΞÏκ♦ο ∆ρΖ
5
ΤôΠΞνΚ↓τ Φη∞χûΚ _______
1. 30
2. 40
3. 50
4. 60
Page 19
2
35. 8 pumps are required to fill a tank in 1 hours. How many pumps
3
of the same type are used to fill the tank in 20 min.
2
ΙÚ Θη½ν ùΘôγ⁄ûΥ 7 ÏΨôµΚρ 1 Τ∞ úΡςιƒο
3
♣ςκ×€τ[∴− ≅úΘ Θη½ν ùΘôγ⁄ûΥ 1/ ♣♥ΟδΚ↓ο
♣ςκΣ úΘûΞΥô∴ ÏΨôµΚ↓τ Φη∞χûΚ
1. 16
2. 40
3. 32
4. 44
36. If a + b + c = 9 and ab + bc + ca = 26 then a 2 + b2 + c2 = _______
a + b + c = 9 Τσßλ ab + bc + ca = 26 Φ±ο a 2 + b2 + c2 = _____
1. 28
2. 39
3. 29
4. 48
37. If sec θ + tan θ = p then what is the value of sec θ - tan θ = ______
sec θ + tan θ = p Φ±ο sec θ - tan θ τ Τƒκ× ______
1
1.
p
2
2.
p
3. -p
p2 - 1
4.
p2 +1
35. 8 pumps are required to fill a tank in 1 hours. How many pumps
3
of the same type are used to fill the tank in 20 min.
2
ΙÚ Θη½ν ùΘôγ⁄ûΥ 7 ÏΨôµΚρ 1 Τ∞ úΡςιƒο
3
♣ςκ×€τ[∴− ≅úΘ Θη½ν ùΘôγ⁄ûΥ 1/ ♣♥ΟδΚ↓ο
♣ςκΣ úΘûΞΥô∴ ÏΨôµΚ↓τ Φη∞χûΚ
1. 16
2. 40
3. 32
4. 44
36. If a + b + c = 9 and ab + bc + ca = 26 then a 2 + b2 + c2 = _______
a + b + c = 9 Τσßλ ab + bc + ca = 26 Φ±ο a 2 + b2 + c2 = _____
1. 28
2. 39
3. 29
4. 48
37. If sec θ + tan θ = p then what is the value of sec θ - tan θ = ______
sec θ + tan θ = p Φ±ο sec θ - tan θ τ Τƒκ× ______
1
1.
p
2
2.
p
3. -p
p2 - 1
4.
p2 +1
Page 20
38. The area of the quadrilateral formed by the points (1, 2), (2, - 3),
( - 2, 4), (0, 5) is ___________
1. 10 sq. units
2. 15 sq. units
3. 18 sq. units
4. 20 sq. units
(1, 2), (2, - 3), ( - 2, 4) Φàλ (0, 5) ×ρ↓ΚûΖ ∆ε′ΚΖôΚ
ùΚôηΟ ΡôσΚςιƒτ ΣςκΣΖÜ ___________
1. 10 Μ−≅ΩÏΚρ
2. 15 Μ−≅ΩÏΚρ
3. 18 Μ−≅ΩÏΚρ
4. 20 Μ−≅ΩÏΚρ
39. A box contains 5 red marbles, 8 white marbles and 4 green marbles.
One marble is taken out of the box at random. What is the
probability that the marble taken out will be not be green
ΙÚ ùΣγ⁄♠ο 4 ′Ξκ×+ 7 ùΞρûΖ+ 3 ΣεûΜ ♣[
úΚô←Κρ ∆ρΖ∴− ΜΤΞôµκ×Øû[♠ο ΙÚ úΚô←ûΥ
ΦÓχÏλúΣôÕ ≅Õ ΣεûΜ♣[ úΚô←ΥôΚ ΒοΩôΤο
ΒÚκΣΘσΚô∴ ♣ΚθΘΚÜ
4
1.
17
13
2.
17
13
3.
15
3
4.
16
( - 2, 4), (0, 5) is ___________
1. 10 sq. units
2. 15 sq. units
3. 18 sq. units
4. 20 sq. units
(1, 2), (2, - 3), ( - 2, 4) Φàλ (0, 5) ×ρ↓ΚûΖ ∆ε′ΚΖôΚ
ùΚôηΟ ΡôσΚςιƒτ ΣςκΣΖÜ ___________
1. 10 Μ−≅ΩÏΚρ
2. 15 Μ−≅ΩÏΚρ
3. 18 Μ−≅ΩÏΚρ
4. 20 Μ−≅ΩÏΚρ
39. A box contains 5 red marbles, 8 white marbles and 4 green marbles.
One marble is taken out of the box at random. What is the
probability that the marble taken out will be not be green
ΙÚ ùΣγ⁄♠ο 4 ′Ξκ×+ 7 ùΞρûΖ+ 3 ΣεûΜ ♣[
úΚô←Κρ ∆ρΖ∴− ΜΤΞôµκ×Øû[♠ο ΙÚ úΚô←ûΥ
ΦÓχÏλúΣôÕ ≅Õ ΣεûΜ♣[ úΚô←ΥôΚ ΒοΩôΤο
ΒÚκΣΘσΚô∴ ♣ΚθΘΚÜ
4
1.
17
13
2.
17
13
3.
15
3
4.
16
Page 21
40. Find the length of the rectangle whose perimeter is 40 meters whose
area 96 sq. meters (In meters)
ΙÚ ùΜπΞΚιƒτ Ñσ[ΖÜ 3/ ÁγΟνΚρ Τσßλ ΣςκΣΖÜ
85 Μ−ÁγΟνΚρ Φ±ο ≅Θτ ¿Ζλ (ÁγΟνΚ↓ο)
1. 12
2. 10
3. 16
4. 18
area 96 sq. meters (In meters)
ΙÚ ùΜπΞΚιƒτ Ñσ[ΖÜ 3/ ÁγΟνΚρ Τσßλ ΣςκΣΖÜ
85 Μ−ÁγΟνΚρ Φ±ο ≅Θτ ¿Ζλ (ÁγΟνΚ↓ο)
1. 12
2. 10
3. 16
4. 18
Page 22
41. Which of the following is the most active metal
1. Lithium
2. Sodium
3. Potassium
4. Rubidium
•θχΚηΟΞσ°ο ≅ƒΚ ↑û∴ƒ[τ ùΚôηΟ Θ±Τλ
1. ←ιƒΥλ
2. úΜô⁄Υλ
3. ùΣôγΟô′Υλ
4. Ú♦⁄Υλ
42. The temperature of a body is 37 0 C. Its temperature in Kelvin Scale
is
ΙÚ ùΣôÚ↓τ ùΜο×Υυ ùΞκΣ♣ûΩ 37 0 C. ≅Θτ
ùΞκΣ♣ûΩ ùΚο↑τ ≅ΖÜúΚô↓ο
1. 310 K
2. -236 K
3. 300 K
4. 273 K
1. Lithium
2. Sodium
3. Potassium
4. Rubidium
•θχΚηΟΞσ°ο ≅ƒΚ ↑û∴ƒ[τ ùΚôηΟ Θ±Τλ
1. ←ιƒΥλ
2. úΜô⁄Υλ
3. ùΣôγΟô′Υλ
4. Ú♦⁄Υλ
42. The temperature of a body is 37 0 C. Its temperature in Kelvin Scale
is
ΙÚ ùΣôÚ↓τ ùΜο×Υυ ùΞκΣ♣ûΩ 37 0 C. ≅Θτ
ùΞκΣ♣ûΩ ùΚο↑τ ≅ΖÜúΚô↓ο
1. 310 K
2. -236 K
3. 300 K
4. 273 K
Page 23
43. Which of the following is the correct electronic configuration of
sodium
úΜô⁄Υιƒτ ΦΩχγςôτ ≅ûΤκ♦σÏ ùΘôΟνΣô∴ Μ↔Υô∴
Ιτß
1. 2, 8
2. 8, 2, 1
3. 2, 1, 8
4. 2, 8, 1
44. Rayon is made up of
1. Coal
2. Oxygen
3. Wool
4. Cellulose
úςΥôτ ΒûΘ ùΚôηÓ ΘΥô↔χΚκΣÓ€[Õ
1. ♣ΩχΚ↔
2. Αχ′⊥τ
3. ΚλΣ↓
4. ùΜοÛúΩôυ
sodium
úΜô⁄Υιƒτ ΦΩχγςôτ ≅ûΤκ♦σÏ ùΘôΟνΣô∴ Μ↔Υô∴
Ιτß
1. 2, 8
2. 8, 2, 1
3. 2, 1, 8
4. 2, 8, 1
44. Rayon is made up of
1. Coal
2. Oxygen
3. Wool
4. Cellulose
úςΥôτ ΒûΘ ùΚôηÓ ΘΥô↔χΚκΣÓ€[Õ
1. ♣ΩχΚ↔
2. Αχ′⊥τ
3. ΚλΣ↓
4. ùΜοÛúΩôυ
Page 24
45. Any substance that turns directly into gaseous form from solid form
or from solid form to gaseous form is termed
1. melting
2. sublimation
3. evaporation
4. chromatography
ΙÚ ùΣôÚρ úΡς⁄ΥôΚ ƒΟ ♣ûΩ♠←ÚϕÕ ΞôÙ ♣ûΩχÏ
≅οΩÕ ΞôÙ ♣ûΩ♠←ÚϕÕ ƒΟ ♣ûΩχÏ Τôσ[λ
≅ûΟΘûΩ ΒπΞôß ≅ûΨκΣν
1. ∆ÚÏΘο
2. ΣΘδΚΤôΘο
3. Α↑ΥôΘο
4. ♣[ΣÏκ× Øû[
or from solid form to gaseous form is termed
1. melting
2. sublimation
3. evaporation
4. chromatography
ΙÚ ùΣôÚρ úΡς⁄ΥôΚ ƒΟ ♣ûΩ♠←ÚϕÕ ΞôÙ ♣ûΩχÏ
≅οΩÕ ΞôÙ ♣ûΩ♠←ÚϕÕ ƒΟ ♣ûΩχÏ Τôσ[λ
≅ûΟΘûΩ ΒπΞôß ≅ûΨκΣν
1. ∆ÚÏΘο
2. ΣΘδΚΤôΘο
3. Α↑ΥôΘο
4. ♣[ΣÏκ× Øû[
Page 25
46. The joints between the skull bones are
1. Hinge joints
2. Pivotal joints
3. Fixed joints
4. Ball and socket joints
ΤηûΟϑγ⁄ο ∆ρΖ ΦÛλ×ΚÞχ€ûΟúΥ ΚôΠκΣÓλ
êγÓ
1. •ο êγÓ
2. ØûΖ êγÓ
3. ≅ûΜΥô êγÓ
4. ΣϕÕ €ηΠ êγÓ
47. The plants that need long night for flowering are
1. Maize and Cotton
2. Jowar and Soya
3. Soya and Hibiscus
4 Hibiscus and Wheat
éκΣΘσÏ ≅ƒΚ ΒςÜ úΡςιûΘ ΦÓιÕχùΚôρÞλ
ΘôΞςδΚρ
1. ΤχΚôεúΜôΖλ Τσßλ ΣÚιƒ
2. úΜôΖλ Τσßλ úΜôΥô
3. úΜôΥô Τσßλ ùΜλΣÚιƒ
4. ùΜλΣÚιƒ Τσßλ úΚôÕûΤ
1. Hinge joints
2. Pivotal joints
3. Fixed joints
4. Ball and socket joints
ΤηûΟϑγ⁄ο ∆ρΖ ΦÛλ×ΚÞχ€ûΟúΥ ΚôΠκΣÓλ
êγÓ
1. •ο êγÓ
2. ØûΖ êγÓ
3. ≅ûΜΥô êγÓ
4. ΣϕÕ €ηΠ êγÓ
47. The plants that need long night for flowering are
1. Maize and Cotton
2. Jowar and Soya
3. Soya and Hibiscus
4 Hibiscus and Wheat
éκΣΘσÏ ≅ƒΚ ΒςÜ úΡςιûΘ ΦÓιÕχùΚôρÞλ
ΘôΞςδΚρ
1. ΤχΚôεúΜôΖλ Τσßλ ΣÚιƒ
2. úΜôΖλ Τσßλ úΜôΥô
3. úΜôΥô Τσßλ ùΜλΣÚιƒ
4. ùΜλΣÚιƒ Τσßλ úΚôÕûΤ
Page 26
48. Number of parts that the Stamen and the Pistil in Datura flower has
1. Stamen - 3, Pistil - 4
2. Stamen - 4, Pistil - 2
3. Stamen - 2, Pistil - 3
4. Stamen - 5, Pistil - 1
ΕΤιûΘ é↑ο ∆ρΖ ΤΚςϕΘ úΚΜςλ+ ãΩΚιƒτ
ΣôΚδΚ↓τ Φη∞χûΚ
1. ΤΚςϕΘ úΚΜςλ - 3, ãΩΚλ - 4
2. ΤΚςϕΘ úΚΜςλ - 4, ãΩΚλ - 2
3. ΤΚςϕΘ úΚΜςλ - 2, ãΩΚλ - 3
4. ΤΚςϕΘ úΚΜςλ - 5, ãΩΚλ - 1
49. ART centers are established
1. to treat renal failure patients
2. to provide medical facilities for HIV patients
3. to treat Rabies patients
4. to provide medical facilities for arteries failure patients
ART ûΤΥδΚρ ΒΞνΚÞχΚôΚ ♣ßΞκΣγΟ∴
1. ′ß¿ςΚ ↑Υôƒ úΡôΥô↓ΚÞχÏ ′€εûΜ ≅↓χΚ
2. HIV úΡôΥô↓ΚÞχÏ ΤÚιÕΞ ΞΜƒ ≅↓χΚ
3. ùΞ°ΡôµΚ⁄∋úς♦υ( úΡôΥô↓ΚÞχÏ ′€εûΜ
≅↓χΚ
4. ΘΤ±Κρ Μ↔ΥôΚ úΞûΩ ùΜµΥôΘ úΡôΥô↓ΚÞχÏ
ΤÚιÕΞ ΞΜƒ ≅↓χΚ
1. Stamen - 3, Pistil - 4
2. Stamen - 4, Pistil - 2
3. Stamen - 2, Pistil - 3
4. Stamen - 5, Pistil - 1
ΕΤιûΘ é↑ο ∆ρΖ ΤΚςϕΘ úΚΜςλ+ ãΩΚιƒτ
ΣôΚδΚ↓τ Φη∞χûΚ
1. ΤΚςϕΘ úΚΜςλ - 3, ãΩΚλ - 4
2. ΤΚςϕΘ úΚΜςλ - 4, ãΩΚλ - 2
3. ΤΚςϕΘ úΚΜςλ - 2, ãΩΚλ - 3
4. ΤΚςϕΘ úΚΜςλ - 5, ãΩΚλ - 1
49. ART centers are established
1. to treat renal failure patients
2. to provide medical facilities for HIV patients
3. to treat Rabies patients
4. to provide medical facilities for arteries failure patients
ART ûΤΥδΚρ ΒΞνΚÞχΚôΚ ♣ßΞκΣγΟ∴
1. ′ß¿ςΚ ↑Υôƒ úΡôΥô↓ΚÞχÏ ′€εûΜ ≅↓χΚ
2. HIV úΡôΥô↓ΚÞχÏ ΤÚιÕΞ ΞΜƒ ≅↓χΚ
3. ùΞ°ΡôµΚ⁄∋úς♦υ( úΡôΥô↓ΚÞχÏ ′€εûΜ
≅↓χΚ
4. ΘΤ±Κρ Μ↔ΥôΚ úΞûΩ ùΜµΥôΘ úΡôΥô↓ΚÞχÏ
ΤÚιÕΞ ΞΜƒ ≅↓χΚ
Page 27
50. One of the following is not the sites of taste sensation
1. Fungiform papillae
2. Circumvallate papillae
3. Foliate papillae
4. Filiform papillae
•θχΚηΟΞσ°ο Ιτß ÑûΞ ∆ΠνÜ ΒοΩôΘÕ
1. ?Σδ€Σôνλ Σô♦οúΩ
2. ΜνÏλΞôùΩγ Σô♦οúΩ
3. ?úΣô←úΥγ Σô♦οúΩ
4. ?♦←Σôνλ Σô♦οúΩ
1. Fungiform papillae
2. Circumvallate papillae
3. Foliate papillae
4. Filiform papillae
•θχΚηΟΞσ°ο Ιτß ÑûΞ ∆ΠνÜ ΒοΩôΘÕ
1. ?Σδ€Σôνλ Σô♦οúΩ
2. ΜνÏλΞôùΩγ Σô♦οúΩ
3. ?úΣô←úΥγ Σô♦οúΩ
4. ?♦←Σôνλ Σô♦οúΩ
Page 28
51. Podu cultivation is widely adopted in the following states of India
1. Arunachal Pradesh and Chattisgarh
2. Bihar and Madhya Pradesh
3. Kerala and Odisha
4. Haryana and Punjab
ΒϕƒΥô↑ο ΒλΤô♣ΩδΚ↓ο »ùΣôÓµ ↑ΞΜôΥλ ΣςΞΩôΚ
♦τΣσ[κΣÓ€[Õ−
1. ≅ÚΠôεΜΩ ♦ςúΘΜλ Τσßλ Μι¾υΚγ
2. ÀΚôν Τσßλ ΤιƒΥκ♦ςúΘΜλ
3. úΚςΖô Τσßλ Ι⁄Μô
4. ≅↔Υô∴ô Τσßλ ΣφΜôκ
1. Arunachal Pradesh and Chattisgarh
2. Bihar and Madhya Pradesh
3. Kerala and Odisha
4. Haryana and Punjab
ΒϕƒΥô↑ο ΒλΤô♣ΩδΚ↓ο »ùΣôÓµ ↑ΞΜôΥλ ΣςΞΩôΚ
♦τΣσ[κΣÓ€[Õ−
1. ≅ÚΠôεΜΩ ♦ςúΘΜλ Τσßλ Μι¾υΚγ
2. ÀΚôν Τσßλ ΤιƒΥκ♦ςúΘΜλ
3. úΚςΖô Τσßλ Ι⁄Μô
4. ≅↔Υô∴ô Τσßλ ΣφΜôκ
Page 30
53. The Southwest monsoons at first enter into these districts in
Andhra Pradesh
1. Nellore and Prakasam
2. Chittoor and Kurnool
3. Anthapuram and Prakasam
4. Srikakulam and Vizianagaram
Αϕƒςκ♦ςúΘΜιƒο ùΘτúΤσÏ ΣÚΞΚôσßΚρ+ ØΘ←ο
ΒλΤôΞγΟδΚÞχÏρ ÖûΨ€τ[∴
1. ùΡοíν Τσßλ ♦ςΚôΜλ
2. ′ιçν Τσßλ Κνèο
3. ≅∴ϕΘ×ςλ Τσßλ ♦ςΚôΜλ
4. βΚôÏΖλ Τσßλ ↑⊥ΥΡΚςλ
54. The scholar who helped Akbar in the formulation of the idea of
Sulh-i-Kul or universal peace
1. Abul Fazl
2. Todarmul
3. Bairam Khan
4. Amir Khusroe
≅χΣÚχÏ+ Ñο,Β,Ïο ∋≅οΩÕ( ∆ΩΚ ≅ûΤƒ
ùΚôρûΚûΥ ∆ÚΞôχÏΞƒο ∆Θ↑ ùΜµΘ Κο↑ΥôΖν
1. ≅×ο Σ⊥ο
2. úΘôΟνΤôο
3. ûΣςôλΚôτ
4. ≅Áν ÏυÚ
Andhra Pradesh
1. Nellore and Prakasam
2. Chittoor and Kurnool
3. Anthapuram and Prakasam
4. Srikakulam and Vizianagaram
Αϕƒςκ♦ςúΘΜιƒο ùΘτúΤσÏ ΣÚΞΚôσßΚρ+ ØΘ←ο
ΒλΤôΞγΟδΚÞχÏρ ÖûΨ€τ[∴
1. ùΡοíν Τσßλ ♦ςΚôΜλ
2. ′ιçν Τσßλ Κνèο
3. ≅∴ϕΘ×ςλ Τσßλ ♦ςΚôΜλ
4. βΚôÏΖλ Τσßλ ↑⊥ΥΡΚςλ
54. The scholar who helped Akbar in the formulation of the idea of
Sulh-i-Kul or universal peace
1. Abul Fazl
2. Todarmul
3. Bairam Khan
4. Amir Khusroe
≅χΣÚχÏ+ Ñο,Β,Ïο ∋≅οΩÕ( ∆ΩΚ ≅ûΤƒ
ùΚôρûΚûΥ ∆ÚΞôχÏΞƒο ∆Θ↑ ùΜµΘ Κο↑ΥôΖν
1. ≅×ο Σ⊥ο
2. úΘôΟνΤôο
3. ûΣςôλΚôτ
4. ≅Áν ÏυÚ
Page 31
55. Indian National Congress declared ‘Purna Swaraj’ as its goal in the Lahore
Session in 1929 under the Presidentship of
1. Mahatma Gandhi
2. Jawaharlal Nehru
3. Motilal Nehru
4. Chittranjan Das
0818Αλ ΑηÓ ΡûΟùΣσ[ ΒϕƒΥ úΘ′Υ Κôδ€ςυ
Ωôáν ΤôΡôγ⁄ο+ ØÝ ÑΘϕƒςλ ≅ûΟΞúΘ Θ∴Õ
Ï°χúΚôρ Φτß ≅°↑ιΘ úΣôÕ− ≅Θτ ΘûΩΞν
ΣΘ↑ûΥ Ξ€ιΘΞν
1. ΤΚôιΤô Κôϕƒ
2. ⊥ΞνΩôο úΡÚ
3. úΤôƒΩôο úΡÚ
4. ′ιΘςφΜτ Θôυ
56. In 1919 Gandhiji gave a call for Satyagraha against
1. Minto Act
2. Morley Act
3. Rowlett Act
4. Victoria Act
1919Αλ Αη⁄ο− ΒΘû∴ ΦƒνιÕ Κôϕƒ≥ ≅ΞνΚρ
ΜιƒΥô€ςΚ úΣôςôγΟιûΘ ≅°↑ιΘôν
1. ♥ηúΟô ΜγΟλ
2. ΤôνúΩ ΜγΟλ
3. ùςΖΩι ΜγΟλ
4. ↑χúΟô↔Υô ΜγΟλ
Session in 1929 under the Presidentship of
1. Mahatma Gandhi
2. Jawaharlal Nehru
3. Motilal Nehru
4. Chittranjan Das
0818Αλ ΑηÓ ΡûΟùΣσ[ ΒϕƒΥ úΘ′Υ Κôδ€ςυ
Ωôáν ΤôΡôγ⁄ο+ ØÝ ÑΘϕƒςλ ≅ûΟΞúΘ Θ∴Õ
Ï°χúΚôρ Φτß ≅°↑ιΘ úΣôÕ− ≅Θτ ΘûΩΞν
ΣΘ↑ûΥ Ξ€ιΘΞν
1. ΤΚôιΤô Κôϕƒ
2. ⊥ΞνΩôο úΡÚ
3. úΤôƒΩôο úΡÚ
4. ′ιΘςφΜτ Θôυ
56. In 1919 Gandhiji gave a call for Satyagraha against
1. Minto Act
2. Morley Act
3. Rowlett Act
4. Victoria Act
1919Αλ Αη⁄ο− ΒΘû∴ ΦƒνιÕ Κôϕƒ≥ ≅ΞνΚρ
ΜιƒΥô€ςΚ úΣôςôγΟιûΘ ≅°↑ιΘôν
1. ♥ηúΟô ΜγΟλ
2. ΤôνúΩ ΜγΟλ
3. ùςΖΩι ΜγΟλ
4. ↑χúΟô↔Υô ΜγΟλ
Page 32
57. An important event relating to the Jute industry in India in 1859
1. First Jute mill was set up at Rishra near Kolkata
2. First Jute mill was set up at Srirangam near Trichy
3. First Jute mill was set up at Mumbai in Maharashtra
4. First Jute mill was set up at Triplicane near Chennai
ΒϕƒΥô↑ο 1859 Αλ Αη⁄ο ΜΠο ùΘô→σΜôûΩχÏ
ùΘôΟν×ûΟΥ Øχ€ΥΤô∴ ♣ΚθÜ
1. ùΚôοΚιΘô ≅Ú€ο ↔ωςô↑ο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
2. ƒÚε′χÏ ≅Ú€ο βςδΚιƒο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
3. ΤΚôςôω⁄ςô↑ο ØλûΣ ΡΚ↔ο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ−
4. ùΜτû∴ ≅Ú€ο ƒÚΞο←χúΚ∞♠ο ØΘΩôΞÕ
ΜΠο ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
1. First Jute mill was set up at Rishra near Kolkata
2. First Jute mill was set up at Srirangam near Trichy
3. First Jute mill was set up at Mumbai in Maharashtra
4. First Jute mill was set up at Triplicane near Chennai
ΒϕƒΥô↑ο 1859 Αλ Αη⁄ο ΜΠο ùΘô→σΜôûΩχÏ
ùΘôΟν×ûΟΥ Øχ€ΥΤô∴ ♣ΚθÜ
1. ùΚôοΚιΘô ≅Ú€ο ↔ωςô↑ο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
2. ƒÚε′χÏ ≅Ú€ο βςδΚιƒο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
3. ΤΚôςôω⁄ςô↑ο ØλûΣ ΡΚ↔ο ØΘΩôΞÕ ΜΠο
ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ−
4. ùΜτû∴ ≅Ú€ο ƒÚΞο←χúΚ∞♠ο ØΘΩôΞÕ
ΜΠο ùΘô→σΜôûΩ ♣ßΞκΣγΟÕ
Page 33
58. The following new political ideas were propagated during French
Revolution
1. Women Empowerment and Separation of Powers
2. Independence, Sovereignty and Secular
3. Democracy, Decentralization and Dignity
4. Liberty, Equality and Fraternity
♦ςφÑ ×ςγ′ ΚôΩιƒτ úΣôÕ+ ΤχΚ↓ûΟúΥ Σς↑Υ ×ƒΥ
≅ς′Υο ΚÚιÕχΚρ
1. ùΣηΚÞχÏ ≅ƒΚôςΤ↓ιΘο Τσßλ ≅ƒΚôςδΚ↓τ
Σ€νÜ
2. ÑΘϕƒςλ+ Βû[ΥôηûΤ Τσßλ ΤΘεΜôν♦τûΤ
3. ΤχΚΖôγ′+ ≅ƒΚôςδΚûΖ ΣςΞΩôχΚο Τσßλ
Κη∞Υλ
4. ÑΘϕƒςλ+ ΜΤιÕΞλ Τσßλ ΜúΚôΘςιÕΞλ
Revolution
1. Women Empowerment and Separation of Powers
2. Independence, Sovereignty and Secular
3. Democracy, Decentralization and Dignity
4. Liberty, Equality and Fraternity
♦ςφÑ ×ςγ′ ΚôΩιƒτ úΣôÕ+ ΤχΚ↓ûΟúΥ Σς↑Υ ×ƒΥ
≅ς′Υο ΚÚιÕχΚρ
1. ùΣηΚÞχÏ ≅ƒΚôςΤ↓ιΘο Τσßλ ≅ƒΚôςδΚ↓τ
Σ€νÜ
2. ÑΘϕƒςλ+ Βû[ΥôηûΤ Τσßλ ΤΘεΜôν♦τûΤ
3. ΤχΚΖôγ′+ ≅ƒΚôςδΚûΖ ΣςΞΩôχΚο Τσßλ
Κη∞Υλ
4. ÑΘϕƒςλ+ ΜΤιÕΞλ Τσßλ ΜúΚôΘςιÕΞλ
Page 34
59. The three states which were not invited to participate in the Versailles
peace conference
1. Italy, Japan and France
2. Austria, Germany and Turkey
3. Britain, Soviet Union and America
4. Japan, Indonesia and Italy
ùΞνûΜου ≅ûΤƒ ΤôΡôγ⁄σÏ ≅ûΨχΚκΣΟôΘ ΡôÓΚρ
1. ΒιΘô←+ ⊥κΣôτ Τσßλ ♦ςôτυ
2. Αυƒ↔Υô+ ù⊥νΤ± Τσßλ ÕÚχ€
3. ♦↔γΟτ+ úΜô↑Υι ë±Υτ Τσßλ ≅ùΤ↔χΚô
4. ⊥κΣôτ+ ΒϕúΘôú∴×Υô Τσßλ ΒιΘô←
60. Fazl Ali, K.M. Panikkar and Hridayanath Kunzru were the members of the
1. States Reconstitution Commission
2. States Reorientation Commission
3. States Reorganization Commission
4. States Reconstruction Commission
Σ⊥ο ≅←+ K.M. Σ∞χΚν Τσßλ ∝ÚΘΥΡôι ÏφÑÚ
ØΘ←úΥôν Βƒο ∆ßκ♦∴νΚΖôΚ ΒÚϕΘΞν
1. Τô♣ΩδΚ↓τ Τß≠ςûΤκ× Κ♥_τ
2. Τô♣ΩδΚ↓τ Τ߃ûΜΥûΤÜ Κ♥_τ
3. Τô♣ΩδΚ↓τ Τß ≠ςûΤκ× Κ♥_τ
4. Τô♣ΩδΚ↓τ Τß ΚγΟûΤκ× Κ♥_τ
peace conference
1. Italy, Japan and France
2. Austria, Germany and Turkey
3. Britain, Soviet Union and America
4. Japan, Indonesia and Italy
ùΞνûΜου ≅ûΤƒ ΤôΡôγ⁄σÏ ≅ûΨχΚκΣΟôΘ ΡôÓΚρ
1. ΒιΘô←+ ⊥κΣôτ Τσßλ ♦ςôτυ
2. Αυƒ↔Υô+ ù⊥νΤ± Τσßλ ÕÚχ€
3. ♦↔γΟτ+ úΜô↑Υι ë±Υτ Τσßλ ≅ùΤ↔χΚô
4. ⊥κΣôτ+ ΒϕúΘôú∴×Υô Τσßλ ΒιΘô←
60. Fazl Ali, K.M. Panikkar and Hridayanath Kunzru were the members of the
1. States Reconstitution Commission
2. States Reorientation Commission
3. States Reorganization Commission
4. States Reconstruction Commission
Σ⊥ο ≅←+ K.M. Σ∞χΚν Τσßλ ∝ÚΘΥΡôι ÏφÑÚ
ØΘ←úΥôν Βƒο ∆ßκ♦∴νΚΖôΚ ΒÚϕΘΞν
1. Τô♣ΩδΚ↓τ Τß≠ςûΤκ× Κ♥_τ
2. Τô♣ΩδΚ↓τ Τ߃ûΜΥûΤÜ Κ♥_τ
3. Τô♣ΩδΚ↓τ Τß ≠ςûΤκ× Κ♥_τ
4. Τô♣ΩδΚ↓τ Τß ΚγΟûΤκ× Κ♥_τ
Page 35
61. Domain of f ( x ) = [ x] - x
f ( x) = [ x ] - x τ ΚΖλ
1. R
2. Z
3. N
4. R–Z
62. If F = {(1, 2), (2, –3), (3, –1)} then F=
F = {(1, 2), (2, –3), (3, –1)} Φ±ο F=
1. {(1, 2 )}
2. {(1, 2 ) , ( 2, - 3 ) , (3, - 1 )}
3. {(1, 2 ) , ( 2, 3 ) , (3, 1)}
4. {(1, 2 ) , ( 2, ± 3 ) , (3, ± 1)}
f ( x) = [ x ] - x τ ΚΖλ
1. R
2. Z
3. N
4. R–Z
62. If F = {(1, 2), (2, –3), (3, –1)} then F=
F = {(1, 2), (2, –3), (3, –1)} Φ±ο F=
1. {(1, 2 )}
2. {(1, 2 ) , ( 2, - 3 ) , (3, - 1 )}
3. {(1, 2 ) , ( 2, 3 ) , (3, 1)}
4. {(1, 2 ) , ( 2, ± 3 ) , (3, ± 1)}
Page 36
é i 0ù
63. If A = ê ú then A2 =
ë0 i û
é i 0ù
A = ê ú Φ±ο A2 =
ë0 i û
é1 0 ù
1. ê0 1 ú
ë û
é -1 0 ù
2. ê 0 -1ú
ë û
é -1 0ù
3. ê 0 1ú
ë û
é1 0 ù
4. ê 0 -1ú
ë û
é cos a - sin a ù
64. Inverse matrix of ê
ë sin a cos a úû
é cos a - sin a ù
ê sin a τ úΡνΤôß ≅∞
ë cos a úû
é cos a - sin a ù
1. ê - sin a
ë cos a úû
é cos a - sin a ù
2. ê sin a
ë cos a úû
é cos a sin a ù
3. ê sin a
ë cos a úû
é cos a sin a ù
4. ê - sin a
ë cos a úû
63. If A = ê ú then A2 =
ë0 i û
é i 0ù
A = ê ú Φ±ο A2 =
ë0 i û
é1 0 ù
1. ê0 1 ú
ë û
é -1 0 ù
2. ê 0 -1ú
ë û
é -1 0ù
3. ê 0 1ú
ë û
é1 0 ù
4. ê 0 -1ú
ë û
é cos a - sin a ù
64. Inverse matrix of ê
ë sin a cos a úû
é cos a - sin a ù
ê sin a τ úΡνΤôß ≅∞
ë cos a úû
é cos a - sin a ù
1. ê - sin a
ë cos a úû
é cos a - sin a ù
2. ê sin a
ë cos a úû
é cos a sin a ù
3. ê sin a
ë cos a úû
é cos a sin a ù
4. ê - sin a
ë cos a úû
Page 37
65. If the vectors - 3 i + 4 j + λ k , µ i + 8 j + 6 k are collinear vectors
then λ + µ = _______
- 3 i + 4 j + λ k , µ i + 8 j + 6 k ΦτΣûΞ ΙÚúΚôΟûΤÜ
ùΞχΟôνΚρ Φ±ο λ + µ τ Τƒκ× _______
1. –6
2. 3
3. –3
4. 9
2 2 2
66. For any vector a , the value of a ´ i + a ´ j + a ´ k =
2 2 2
ΓúΘàλ a Φàλ ùΞχΟôÚχÏ+ a ´ i + a ´ j + a ´ k =
2
1. 4a
2
2. 2a
2
3. a
2
4. 3a
cos 9o + sin 9o
67. = _______
cos9o - sin 9o
1. cot 36o
2. cot 54o
3. cot 18o
4. cot 72o
then λ + µ = _______
- 3 i + 4 j + λ k , µ i + 8 j + 6 k ΦτΣûΞ ΙÚúΚôΟûΤÜ
ùΞχΟôνΚρ Φ±ο λ + µ τ Τƒκ× _______
1. –6
2. 3
3. –3
4. 9
2 2 2
66. For any vector a , the value of a ´ i + a ´ j + a ´ k =
2 2 2
ΓúΘàλ a Φàλ ùΞχΟôÚχÏ+ a ´ i + a ´ j + a ´ k =
2
1. 4a
2
2. 2a
2
3. a
2
4. 3a
cos 9o + sin 9o
67. = _______
cos9o - sin 9o
1. cot 36o
2. cot 54o
3. cot 18o
4. cot 72o
Page 38
68. Period of Tan (x + 4x + 9x + ….. + n2x)
Tan (x + 4x + 9x + ….. + n 2x) τ ΚôΩλ
p
1.
n ( n + 1)( 2n + 1)
2p
2.
n ( n + 1)( 2n + 1)
6p
3.
n ( n + 1)( 2n + 1)
3p
4.
n ( n + 1)( 2n + 1)
æ1ö æ1ö
69. The value of sin -1 ç ÷ + cos -1 ç ÷
è2ø è 2ø
æ1ö æ1ö
sin -1 ç ÷ + cos-1 ç ÷ τ Τƒκ× _______
è 2ø è 2ø
1. p
p
2.
2
p
3.
3
p
4.
4
Tan (x + 4x + 9x + ….. + n 2x) τ ΚôΩλ
p
1.
n ( n + 1)( 2n + 1)
2p
2.
n ( n + 1)( 2n + 1)
6p
3.
n ( n + 1)( 2n + 1)
3p
4.
n ( n + 1)( 2n + 1)
æ1ö æ1ö
69. The value of sin -1 ç ÷ + cos -1 ç ÷
è2ø è 2ø
æ1ö æ1ö
sin -1 ç ÷ + cos-1 ç ÷ τ Τƒκ× _______
è 2ø è 2ø
1. p
p
2.
2
p
3.
3
p
4.
4
Page 39
70. The equation of locus of a point which is equidistant from the
coordinate axes _________
ΑΥ≅εÑΚ↓←ÚϕÕ ΜΤùΘôûΩ↑ο ∆ρΖ ×ρ↓♠τ
♣ΥΤκΣôûΘ ΜΤτΣôÓ ____
1. x2 – y2 = 0
2. x+y=0
3. x–y=0
4. x2 + y2 = 0
71. The point to which the origin is to be shifted so as to remove the first
degree terms from the equation 4x2 + 9y2 – 8x + 36y + 4 = 0
4x 2 + 9y2 – 8x + 36y + 4 = 0 Φàλ ΜΤτΣôγ⁄ο ∆ρΖ ØΘσΣ⁄
∆ßκ×ΚûΖ ¿χΚúΞηÓùΤ±ο (0, 0) Η Τôσ[úΞη⁄Υ
×ρ↓ ________
1. (–1, 2)
2. (–1, –2)
3. (1, –2)
4. (1, 2)
coordinate axes _________
ΑΥ≅εÑΚ↓←ÚϕÕ ΜΤùΘôûΩ↑ο ∆ρΖ ×ρ↓♠τ
♣ΥΤκΣôûΘ ΜΤτΣôÓ ____
1. x2 – y2 = 0
2. x+y=0
3. x–y=0
4. x2 + y2 = 0
71. The point to which the origin is to be shifted so as to remove the first
degree terms from the equation 4x2 + 9y2 – 8x + 36y + 4 = 0
4x 2 + 9y2 – 8x + 36y + 4 = 0 Φàλ ΜΤτΣôγ⁄ο ∆ρΖ ØΘσΣ⁄
∆ßκ×ΚûΖ ¿χΚúΞηÓùΤ±ο (0, 0) Η Τôσ[úΞη⁄Υ
×ρ↓ ________
1. (–1, 2)
2. (–1, –2)
3. (1, –2)
4. (1, 2)
Page 40
72. Normal form of a line x + y + 2 = 0 is _______
x + y + 2 = 0 Φàλ úΚôγ⁄τ ΒΥοΞ⁄Ξλ _______
5p 5p
1. x cos + y sin = 2
4 4
3p 3p
2. x cos + y sin = 2
4 4
p p
3. x cos + y sin = 2
4 4
7p 7p
4. x cos + y sin = 2
4 4
73. The angle between the lines 2x + y + 4 = 0, y – 3x = 7 is _______
2x + y + 4 = 0, y – 3x = 7 Φàλ úΚôÓΚÞχÏ ΒûΟκΣγΟ
úΚôΠλ _______
p
1.
2
p
2.
4
p
3.
3
p
4.
6
x + y + 2 = 0 Φàλ úΚôγ⁄τ ΒΥοΞ⁄Ξλ _______
5p 5p
1. x cos + y sin = 2
4 4
3p 3p
2. x cos + y sin = 2
4 4
p p
3. x cos + y sin = 2
4 4
7p 7p
4. x cos + y sin = 2
4 4
73. The angle between the lines 2x + y + 4 = 0, y – 3x = 7 is _______
2x + y + 4 = 0, y – 3x = 7 Φàλ úΚôÓΚÞχÏ ΒûΟκΣγΟ
úΚôΠλ _______
p
1.
2
p
2.
4
p
3.
3
p
4.
6
Page 41
1 1 1
74. + + = _______
r1 r2 r3
1
1.
R
1
2.
s
1
3.
r
1
4.
D
75. The acute angle between the pair of lines represented by
x2 + 2xy cot α – y2 = 0 is ______
x2 + 2xy cot α – y2 = 0 ΦτΣûΘ Ï°χÏλ úΚôÓΚÞχÏ
ΒûΟκΣγΟ ÏßδúΚôΠλ ______
p
1.
2
p
2.
4
p
3.
3
p
4.
6
74. + + = _______
r1 r2 r3
1
1.
R
1
2.
s
1
3.
r
1
4.
D
75. The acute angle between the pair of lines represented by
x2 + 2xy cot α – y2 = 0 is ______
x2 + 2xy cot α – y2 = 0 ΦτΣûΘ Ï°χÏλ úΚôÓΚÞχÏ
ΒûΟκΣγΟ ÏßδúΚôΠλ ______
p
1.
2
p
2.
4
p
3.
3
p
4.
6
Page 42
76. The direction cosines of the line joining the points (–4, 1, 7) and
(2, –3, 2) is _________
(–4, 1, 7), (2, –3, 2) Α€Υ ×ρ↓ΚûΖ ΒûΠχÏλ úΚôγ⁄τ
ƒûΜ ùΚôûΜτΚρ
æ -6 4 +5 ö
1. ç , , ÷
è 77 77 77 ø
æ 6 4 5 ö
2. ç , , ÷
è 77 77 77 ø
æ -6 4 -5 ö
3. ç , , ÷
è 77 77 77 ø
æ 6 -4 -5 ö
4. ç , , ÷
è 77 77 77 ø
Lt
ax -1
77. = _________
x ® o bx -1
log e a
1.
log e b
log e b
2.
log e a
3. log e a + log e b
4. log e a - log e b
(2, –3, 2) is _________
(–4, 1, 7), (2, –3, 2) Α€Υ ×ρ↓ΚûΖ ΒûΠχÏλ úΚôγ⁄τ
ƒûΜ ùΚôûΜτΚρ
æ -6 4 +5 ö
1. ç , , ÷
è 77 77 77 ø
æ 6 4 5 ö
2. ç , , ÷
è 77 77 77 ø
æ -6 4 -5 ö
3. ç , , ÷
è 77 77 77 ø
æ 6 -4 -5 ö
4. ç , , ÷
è 77 77 77 ø
Lt
ax -1
77. = _________
x ® o bx -1
log e a
1.
log e b
log e b
2.
log e a
3. log e a + log e b
4. log e a - log e b
Page 43
Lt
x2 + 5x + 2
78. = _________
x ® ¥ 2 x2 - 5x + 1
1. 0
2. 2
1
3.
2
4. ¥
79. If f ( x ) = sin ( log x ) , (x > o), then f 1 ( x ) = _________
f ( x ) = sin ( log x ) , (x > o) Φ±ο f 1 ( x ) = _________
1
1. cos ( log x )
x
-1
2. cos ( log x )
x
1
3. sin ( log x )
x
-1
4. sin ( log x )
x
80. The slope of the tangent of the curve y = 5x 2 at (–1, 5) is
y = 5x2 ΞûΖΞûςχÏ (–1, 5) ο ≅ûΤÙλ ùΘôÓúΚôγ⁄τ
ΜôµÜ _________
1. –5
2. 5
3. 10
4. –10
x2 + 5x + 2
78. = _________
x ® ¥ 2 x2 - 5x + 1
1. 0
2. 2
1
3.
2
4. ¥
79. If f ( x ) = sin ( log x ) , (x > o), then f 1 ( x ) = _________
f ( x ) = sin ( log x ) , (x > o) Φ±ο f 1 ( x ) = _________
1
1. cos ( log x )
x
-1
2. cos ( log x )
x
1
3. sin ( log x )
x
-1
4. sin ( log x )
x
80. The slope of the tangent of the curve y = 5x 2 at (–1, 5) is
y = 5x2 ΞûΖΞûςχÏ (–1, 5) ο ≅ûΤÙλ ùΘôÓúΚôγ⁄τ
ΜôµÜ _________
1. –5
2. 5
3. 10
4. –10
Page 44
æZ ö
81. If Z1 = –1, Z2 = i then Arg ç 1 ÷ = ________
è Z2 ø
æZ ö
Z1 = –1, Z2 = i Φ±ο Arg ç 1 ÷ = ________
è Z2 ø
p
1.
3
p
2.
2
p
3.
4
p
4.
6
82. If α, β are the roots of x2 + x + 1 = 0 then α4 + β4 + α–1 β–1 = ______
α, β ΦτΣûΞ x 2 + x + 1=0 τ êΩδΚρ Φ±ο α4 + β4 + α–1 β–1 =
1. 0
2. w
3. –w
4. w2
81. If Z1 = –1, Z2 = i then Arg ç 1 ÷ = ________
è Z2 ø
æZ ö
Z1 = –1, Z2 = i Φ±ο Arg ç 1 ÷ = ________
è Z2 ø
p
1.
3
p
2.
2
p
3.
4
p
4.
6
82. If α, β are the roots of x2 + x + 1 = 0 then α4 + β4 + α–1 β–1 = ______
α, β ΦτΣûΞ x 2 + x + 1=0 τ êΩδΚρ Φ±ο α4 + β4 + α–1 β–1 =
1. 0
2. w
3. –w
4. w2
Page 45
1 1
83. If α, β are the roots of ax2 + bx + c = 0 then + = ______
a b
1 1
α, β ΦτΣûΞ ax2 + bx + c = 0 τ êΩδΚρ Φ±ο + =
a b
-c
1.
b
-b
2.
c
-c
3.
a
-b
4.
a
84. If the product of the roots of 4x3 + 16x2 – 9x – a = 0 is ‘9’ then
‘a’ = _________
4x 3 + 16x 2 – 9x – a = 0 Φτ[ ΜΤτΣôγ⁄τ êΩδΚ↓τ
ùΣÚχΚσΣΩτ ‘9’ Φ±ο ‘a’ τ Τƒκ× _________
1. 36
2. –36
3. 9
4. –9
83. If α, β are the roots of ax2 + bx + c = 0 then + = ______
a b
1 1
α, β ΦτΣûΞ ax2 + bx + c = 0 τ êΩδΚρ Φ±ο + =
a b
-c
1.
b
-b
2.
c
-c
3.
a
-b
4.
a
84. If the product of the roots of 4x3 + 16x2 – 9x – a = 0 is ‘9’ then
‘a’ = _________
4x 3 + 16x 2 – 9x – a = 0 Φτ[ ΜΤτΣôγ⁄τ êΩδΚ↓τ
ùΣÚχΚσΣΩτ ‘9’ Φ±ο ‘a’ τ Τƒκ× _________
1. 36
2. –36
3. 9
4. –9
Page 46
85. If ( n + 1) P : nP6 = 2 : 7 then n = ________
5
( n + 1)P : nP = 2 : 7 Φ±ο n τ Τƒκ× ________
5 6
1. –9
2. 9
3. –11
4. 11
86. If 17 C2 t +1 = 17 C3t - 5 then t = ______
17 C2 t +1 = 17 C3t - 5 Φ±ο t = ______
1. 6
2. 2
3. 4
4. 3
The number of terms in the expansion of ( 2a + 3b + c )
7
87.
( 2a + 3b + c ) ΦτΣΘτ ↑↔↑ο ∆ρΖ ∆ßκ×Κ↓τ
7
Φη∞χûΚ ______
1. 28
2. 14
3. 7
4. 21
5
( n + 1)P : nP = 2 : 7 Φ±ο n τ Τƒκ× ________
5 6
1. –9
2. 9
3. –11
4. 11
86. If 17 C2 t +1 = 17 C3t - 5 then t = ______
17 C2 t +1 = 17 C3t - 5 Φ±ο t = ______
1. 6
2. 2
3. 4
4. 3
The number of terms in the expansion of ( 2a + 3b + c )
7
87.
( 2a + 3b + c ) ΦτΣΘτ ↑↔↑ο ∆ρΖ ∆ßκ×Κ↓τ
7
Φη∞χûΚ ______
1. 28
2. 14
3. 7
4. 21
Page 47
x2 - 2 x + 6
88. Resolve into partial fraction ________
( x - 2)
3
x2 - 2 x + 6
Η Σσ ♦τ∴δΚΖôΚ Τôσ°∴ôο €ûΟκΣÕ
( x - 2)
3
1 2 6
1. + +
( x - 2 ) ( x - 2 ) ( x - 2 )3
2
1 2 6
2. + -
( x - 2 ) ( x - 2 ) ( x - 2 )3
3
1 2 6
3. + +
( x - 2)
2
( x - 2)
3
( x - 2)
-1 2 6
4. + +
( x - 2 ) ( x - 2 ) ( x - 2 )2
3
89. Median of the data 4, 6, 9, 3, 10, 13, 2
4, 6, 9, 3, 10, 13, 2 Φàλ ↑Ξςιƒτ ΒûΟ♣ûΩ≅ΖÜ
1. 2
2. 4
3. 13
4. 6
88. Resolve into partial fraction ________
( x - 2)
3
x2 - 2 x + 6
Η Σσ ♦τ∴δΚΖôΚ Τôσ°∴ôο €ûΟκΣÕ
( x - 2)
3
1 2 6
1. + +
( x - 2 ) ( x - 2 ) ( x - 2 )3
2
1 2 6
2. + -
( x - 2 ) ( x - 2 ) ( x - 2 )3
3
1 2 6
3. + +
( x - 2)
2
( x - 2)
3
( x - 2)
-1 2 6
4. + +
( x - 2 ) ( x - 2 ) ( x - 2 )2
3
89. Median of the data 4, 6, 9, 3, 10, 13, 2
4, 6, 9, 3, 10, 13, 2 Φàλ ↑Ξςιƒτ ΒûΟ♣ûΩ≅ΖÜ
1. 2
2. 4
3. 13
4. 6
Page 48
90. If A, B are independent events with P(A) = 0.2, P(B) = 0.5 then
P(A∩B) = ________
A, B ΦτΣûΞ ΜôνΣσ[ ♣Κθε′Κρ Τσßλ P(A) = 0.2,
P(B) = 0.5 Φ±ο P(A∩B) = ________
1. 0.2
2. 0.5
3. 0.1
4. 1
91. Equation of the circle whose ends of the diameter are (1, 2), (4, 6)
is __________
(1, 2), (4, 6) Φàλ ×ρ↓ΚûΖ ↑γΟλ Øû∴ΚΖôΚ ùΚôηΟ
ΞγΟιƒτ ΜΤτΣôÓ _____
1. x2 + y2 – 5x – 8y + 16 = 0
2. x2 + y2 – 5x + 8y + 16 = 0
3. x2 + y2 + 5x – 8y + 16 = 0
4. x2 + y2 + 5x + 8y + 16 = 0
P(A∩B) = ________
A, B ΦτΣûΞ ΜôνΣσ[ ♣Κθε′Κρ Τσßλ P(A) = 0.2,
P(B) = 0.5 Φ±ο P(A∩B) = ________
1. 0.2
2. 0.5
3. 0.1
4. 1
91. Equation of the circle whose ends of the diameter are (1, 2), (4, 6)
is __________
(1, 2), (4, 6) Φàλ ×ρ↓ΚûΖ ↑γΟλ Øû∴ΚΖôΚ ùΚôηΟ
ΞγΟιƒτ ΜΤτΣôÓ _____
1. x2 + y2 – 5x – 8y + 16 = 0
2. x2 + y2 – 5x + 8y + 16 = 0
3. x2 + y2 + 5x – 8y + 16 = 0
4. x2 + y2 + 5x + 8y + 16 = 0
Page 49
92. Equation of the common chord of the circles x2+y2–4x–4y+3 = 0,
x2 + y2 – 5x – 6y + 4 = 0 is _________
x2 + y2 – 4x – 4y + 3 = 0, x2 + y2 – 5x – 6y + 4 = 0 Φàλ
ΞγΟδΚ↓τ ùΣôÕ Ρô∞τ ΜΤτΣôÓ _________
1. x + 2y – 1 = 0
2. x – 2y – 1 = 0
3. x – 2y + 1 = 0
4. x + 2y + 1 = 0
93. Vertex of the parabola 4y2 + 12x – 20y + 67 = 0
4y2 + 12x – 20y + 67 = 0 Φτ[ ΣςΞûΖΥιƒτ Øû∴
æ 7 -5 ö
1. ç , ÷
è2 2 ø
æ -7 5 ö
2. ç , ÷
è 2 2ø
æ -7 -5 ö
3. ç , ÷
è 2 2 ø
æ7 5ö
4. ç , ÷
è2 2ø
x2 + y2 – 5x – 6y + 4 = 0 is _________
x2 + y2 – 4x – 4y + 3 = 0, x2 + y2 – 5x – 6y + 4 = 0 Φàλ
ΞγΟδΚ↓τ ùΣôÕ Ρô∞τ ΜΤτΣôÓ _________
1. x + 2y – 1 = 0
2. x – 2y – 1 = 0
3. x – 2y + 1 = 0
4. x + 2y + 1 = 0
93. Vertex of the parabola 4y2 + 12x – 20y + 67 = 0
4y2 + 12x – 20y + 67 = 0 Φτ[ ΣςΞûΖΥιƒτ Øû∴
æ 7 -5 ö
1. ç , ÷
è2 2 ø
æ -7 5 ö
2. ç , ÷
è 2 2ø
æ -7 -5 ö
3. ç , ÷
è 2 2 ø
æ7 5ö
4. ç , ÷
è2 2ø
Page 50
94. If 4x + y + k = 0 is a tangent to the ellipse x2 + 3y2 = 3 then k = ___
4x + y + k = 0 Φàλ úΚôÓ x 2 + 3y2 = 3 Φàλ ¿ρΞγΟιƒτ
ùΘôÓúΚôÓ Φ±ο k = _____
1. 7
2. 8
3. 9
4. 10
95. If 3x – 4y + k = 0 is a tangent to the hyperbola x 2 – 4y2 = 5 then k =
3x – 4y + k = 0 Φàλ úΚôÓ+ x 2 – 4y2 = 5 Φàλ
≅ƒΣςΞûΖΥιƒτ ùΘôÓúΚôÓ Φ±ο k = ________
1. 5
2. 7
3. 2
4. 3
(
log 1+ tan 2 x )
96. òe dx
1. sec x
2. tan x
3. sec2 x
4. tan2 x
4x + y + k = 0 Φàλ úΚôÓ x 2 + 3y2 = 3 Φàλ ¿ρΞγΟιƒτ
ùΘôÓúΚôÓ Φ±ο k = _____
1. 7
2. 8
3. 9
4. 10
95. If 3x – 4y + k = 0 is a tangent to the hyperbola x 2 – 4y2 = 5 then k =
3x – 4y + k = 0 Φàλ úΚôÓ+ x 2 – 4y2 = 5 Φàλ
≅ƒΣςΞûΖΥιƒτ ùΘôÓúΚôÓ Φ±ο k = ________
1. 5
2. 7
3. 2
4. 3
(
log 1+ tan 2 x )
96. òe dx
1. sec x
2. tan x
3. sec2 x
4. tan2 x
Page 51
2
97. ò 1 - x dx =
0
1. 2
2. 1
3. 4
4. 3
98. Area under the curve f ( x ) = sin x in [0, 2π]
f ( x ) = sin x ΞûΖΞûς [0, 2π] ο ΓσΣÓιÕλ ΣςκΣΖÜ
________
1. 1
2. 2
3. 3
4. 4
97. ò 1 - x dx =
0
1. 2
2. 1
3. 4
4. 3
98. Area under the curve f ( x ) = sin x in [0, 2π]
f ( x ) = sin x ΞûΖΞûς [0, 2π] ο ΓσΣÓιÕλ ΣςκΣΖÜ
________
1. 1
2. 2
3. 3
4. 4
Page 52
dy
99. General solution of = e x+ y
dx
dy
= e x+ y τ ùΣôÕι ¾νÜ________
dx
1. ex + e –y = c
2. ex – e–y = c
3. e–x + ey = c
4. e–x – ey = c
100. Differential equation of y = A cos 3x + B sin 3x (A, B are
parameters)
y = A cos 3x + B sin 3x τ ΞûΚΥ ΜΤτΣôÓ
d2y
1. + 9y = 0
dx 2
d2y
2. - 9y = 0
dx 2
d2y
3. + 6y = 0
dx 2
d2y
4. - 6y = 0
dx 2
99. General solution of = e x+ y
dx
dy
= e x+ y τ ùΣôÕι ¾νÜ________
dx
1. ex + e –y = c
2. ex – e–y = c
3. e–x + ey = c
4. e–x – ey = c
100. Differential equation of y = A cos 3x + B sin 3x (A, B are
parameters)
y = A cos 3x + B sin 3x τ ΞûΚΥ ΜΤτΣôÓ
d2y
1. + 9y = 0
dx 2
d2y
2. - 9y = 0
dx 2
d2y
3. + 6y = 0
dx 2
d2y
4. - 6y = 0
dx 2
Document Details
| Board / Org | APSCHE |
| Exam | Andhra Pradesh Diploma in Elementary Education Common Entrance Test |
| Type | Question Paper |
| Pages | 52 |
| Updated | 22 Jul 2026 |