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 Page 1


QID : 1 - If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … upto 60 terms, then what is the value of A?
?? ?A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … 60 ??? ? ? ? ? ? , ? ?A ?? ?? ? ? ? ? ?? 
Options:
1) – 360
2) – 310
3) – 240
4) – 270
Correct Answer: – 270
Candidate Answer: – 270
QID : 2 - How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
1000 ? ?2000 ? ? ???? ??? ? ?? ? ? ???? ? ? ? ? ? ? ? ?? ? ? ? ? , ? ?? ? 341 ? ? ? ? ? ? ? ?? ??? ? ?? ? ? ?? ? 5 ??? ? ? ? ? 
Options:
1) 3
2) 2
3) 4
4) 1
Correct Answer: 3
Candidate Answer: 3
QID : 3 - Which of the following statement(s) is/are TRUE?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only I
? ? ? ?I
Candidate Answer: Only I
? ? ? ?I
QID : 4 - Which of the following statement(s) is/are TRUE?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ???? ? ?/? ? ?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
Page - 2
Page 2


QID : 1 - If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … upto 60 terms, then what is the value of A?
?? ?A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … 60 ??? ? ? ? ? ? , ? ?A ?? ?? ? ? ? ? ?? 
Options:
1) – 360
2) – 310
3) – 240
4) – 270
Correct Answer: – 270
Candidate Answer: – 270
QID : 2 - How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
1000 ? ?2000 ? ? ???? ??? ? ?? ? ? ???? ? ? ? ? ? ? ? ?? ? ? ? ? , ? ?? ? 341 ? ? ? ? ? ? ? ?? ??? ? ?? ? ? ?? ? 5 ??? ? ? ? ? 
Options:
1) 3
2) 2
3) 4
4) 1
Correct Answer: 3
Candidate Answer: 3
QID : 3 - Which of the following statement(s) is/are TRUE?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only I
? ? ? ?I
Candidate Answer: Only I
? ? ? ?I
QID : 4 - Which of the following statement(s) is/are TRUE?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ???? ? ?/? ? ?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
Page - 2
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 5 - 
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 6 - Which of the following statement(s) is/are TRUE?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Both I and II
I ? ??II ?? ? ? ?
Candidate Answer: Only I
? ? ? ?I
Page - 3
Page 3


QID : 1 - If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … upto 60 terms, then what is the value of A?
?? ?A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … 60 ??? ? ? ? ? ? , ? ?A ?? ?? ? ? ? ? ?? 
Options:
1) – 360
2) – 310
3) – 240
4) – 270
Correct Answer: – 270
Candidate Answer: – 270
QID : 2 - How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
1000 ? ?2000 ? ? ???? ??? ? ?? ? ? ???? ? ? ? ? ? ? ? ?? ? ? ? ? , ? ?? ? 341 ? ? ? ? ? ? ? ?? ??? ? ?? ? ? ?? ? 5 ??? ? ? ? ? 
Options:
1) 3
2) 2
3) 4
4) 1
Correct Answer: 3
Candidate Answer: 3
QID : 3 - Which of the following statement(s) is/are TRUE?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only I
? ? ? ?I
Candidate Answer: Only I
? ? ? ?I
QID : 4 - Which of the following statement(s) is/are TRUE?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ???? ? ?/? ? ?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
Page - 2
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 5 - 
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 6 - Which of the following statement(s) is/are TRUE?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Both I and II
I ? ??II ?? ? ? ?
Candidate Answer: Only I
? ? ? ?I
Page - 3
QID : 7 - If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?
?? ?1 + (1/2) + (1/3) + … + (1/20) = k ? ? , ? ?(1/4) + (1/6) + (1/8) + … + (1/40) ?? ?? ? ? ? ? ?? 
Options:
1) k/2
2) 2k
3) (k – 1)/2
4) (k + 1)/2
Correct Answer: (k – 1)/2
Candidate Answer: (k – 1)/2
QID : 8 - If A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
 and C = 3
15
 + 3
14
 + 3
13
 + … + 3
o
, then which of the following option is TRUE?
?? ?A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
? ??C = 3
15 
+ 3
14
 + 3
13
 + … + 3
o
? ? , ? ? ? ? ???? ? ? ?? ? ? ? ? ?? ? ?? ? ? ???? ? ??? ? ? ? 
Options:
1) C > B > A
2) C > A > B
3) A > B > C
4) A > C > B
Correct Answer: C > A > B
Candidate Answer: C > A > B
QID : 9 - If x + y = 10 and xy = 4, then what is the value of x
4
 + y
4
?
?? ?x + y = 10 ? ??xy = 4 ? ? , ? ?x
4
 + y
4
?? ?? ? ? ? ? ?? 
Options:
1) 8464
2) 8432
3) 7478
4) 6218
Correct Answer: 8432
Candidate Answer: 8432
QID : 10 - M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided 
by 11?
M ? ? ? ? ? ?? ? ?? ??? ? ???? ? ? ?? ? ? ? ?? ? , ?? 6 ? ??5 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ? ? ?? ? ?????? 5 ? ??3 ?? ? ? ? ? ?? M ??11 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ?? ? ? ? ?? ? ? ? 
Options:
1) 1
2) 2
3) 3
4) 4
Correct Answer: 4
Candidate Answer: 4
QID : 11 - Which of the following statement(s) is/are TRUE?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
Options:
1) Only I
? ? ? ?I
2) Only I and II
? ? ? ?I ? ??II
3) Only II and III
? ? ? ?II ? ??III
4) Only I and III
? ? ? ?I ? ??III
Correct Answer: Only I and II
? ? ? ?I ? ??II
Candidate Answer: Only I and II
? ? ? ?I ? ??II
Page - 4
Page 4


QID : 1 - If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … upto 60 terms, then what is the value of A?
?? ?A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … 60 ??? ? ? ? ? ? , ? ?A ?? ?? ? ? ? ? ?? 
Options:
1) – 360
2) – 310
3) – 240
4) – 270
Correct Answer: – 270
Candidate Answer: – 270
QID : 2 - How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
1000 ? ?2000 ? ? ???? ??? ? ?? ? ? ???? ? ? ? ? ? ? ? ?? ? ? ? ? , ? ?? ? 341 ? ? ? ? ? ? ? ?? ??? ? ?? ? ? ?? ? 5 ??? ? ? ? ? 
Options:
1) 3
2) 2
3) 4
4) 1
Correct Answer: 3
Candidate Answer: 3
QID : 3 - Which of the following statement(s) is/are TRUE?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only I
? ? ? ?I
Candidate Answer: Only I
? ? ? ?I
QID : 4 - Which of the following statement(s) is/are TRUE?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ???? ? ?/? ? ?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
Page - 2
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 5 - 
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 6 - Which of the following statement(s) is/are TRUE?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Both I and II
I ? ??II ?? ? ? ?
Candidate Answer: Only I
? ? ? ?I
Page - 3
QID : 7 - If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?
?? ?1 + (1/2) + (1/3) + … + (1/20) = k ? ? , ? ?(1/4) + (1/6) + (1/8) + … + (1/40) ?? ?? ? ? ? ? ?? 
Options:
1) k/2
2) 2k
3) (k – 1)/2
4) (k + 1)/2
Correct Answer: (k – 1)/2
Candidate Answer: (k – 1)/2
QID : 8 - If A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
 and C = 3
15
 + 3
14
 + 3
13
 + … + 3
o
, then which of the following option is TRUE?
?? ?A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
? ??C = 3
15 
+ 3
14
 + 3
13
 + … + 3
o
? ? , ? ? ? ? ???? ? ? ?? ? ? ? ? ?? ? ?? ? ? ???? ? ??? ? ? ? 
Options:
1) C > B > A
2) C > A > B
3) A > B > C
4) A > C > B
Correct Answer: C > A > B
Candidate Answer: C > A > B
QID : 9 - If x + y = 10 and xy = 4, then what is the value of x
4
 + y
4
?
?? ?x + y = 10 ? ??xy = 4 ? ? , ? ?x
4
 + y
4
?? ?? ? ? ? ? ?? 
Options:
1) 8464
2) 8432
3) 7478
4) 6218
Correct Answer: 8432
Candidate Answer: 8432
QID : 10 - M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided 
by 11?
M ? ? ? ? ? ?? ? ?? ??? ? ???? ? ? ?? ? ? ? ?? ? , ?? 6 ? ??5 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ? ? ?? ? ?????? 5 ? ??3 ?? ? ? ? ? ?? M ??11 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ?? ? ? ? ?? ? ? ? 
Options:
1) 1
2) 2
3) 3
4) 4
Correct Answer: 4
Candidate Answer: 4
QID : 11 - Which of the following statement(s) is/are TRUE?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
Options:
1) Only I
? ? ? ?I
2) Only I and II
? ? ? ?I ? ??II
3) Only II and III
? ? ? ?II ? ??III
4) Only I and III
? ? ? ?I ? ??III
Correct Answer: Only I and II
? ? ? ?I ? ??II
Candidate Answer: Only I and II
? ? ? ?I ? ??II
Page - 4
QID : 12 - 
Options:
1) 97
2) (2v3) + 2
3) (4v6) + 1
4) 98
Correct Answer: 97
Candidate Answer: 97
QID : 13 - If the difference between the roots of the equation Ax
2
 – Bx + C = 0 is 4, then which of the following is TRUE?
?? ? ??? ???Ax
2
 – Bx + C = 0 ? ? ? ? ? ? ? ?? ? ? ? ? 4 ? ? , ? ? ? ? ???? ? ? ?? ? ? ? ? ?? ? ?? ? ??? ? ? ? 
Options:
1) B
2
 – 16A
2
 = 4AC + 4B
2
2) B
2
 – 10A
2
 = 4AC + 6A
2
3) B
2
 – 8A
2
 = 4AC + 10A
2
4) B
2
 – 16A
2
 = 4AC + 8B
2
Correct Answer: B
2
 – 10A
2
 = 4AC + 6A
2
Candidate Answer: B
2
 – 10A
2
 = 4AC + 6A
2
QID : 14 - a and ß are the roots of quadratic equation. If a + ß = 8 and a – ß = 2v5, then which of the following equation will have roots a
4
 and ß
4
?
a ? ??ß ? ??? ? ??? ??? ? ? ? ? ? ? ? ? ?? ? a + ß = 8 ? ??a – ß = 2v5 ? ? , ? ?a
4
? ??ß
4
? ? ???? ? ? ?? ? ? ? ? ? ?? ??? ??? ? ? ? ? ? ? ? ? 
Options:
1) x
2
 – 1522x + 14641 = 0
2) x
2
 + 1921x + 14641 = 0
3) x
2
– 1764x + 14641 = 0
4) x
2
+ 2520x + 14641 = 0
Correct Answer: x
2
 – 1522x + 14641 = 0
Candidate Answer: x
2
 – 1522x + 14641 = 0
QID : 15 - If a and b are the roots of the equation Px
2
 – Qx + R = 0, then what is the value of (1/a
2
) + (1/b
2
) + (a/b) + (b/a)?
?? ?a ? ??b ??? ???Px
2
 – Qx + R = 0  ? ? ? ? ? ? ? , ? ?(1/a
2
) + (1/b
2
) + (a/b) + (b/a) ?? ?? ? ? ? ? ?? 
Options:
1) 
2) 
3) 
4)
Page - 5
Page 5


QID : 1 - If A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … upto 60 terms, then what is the value of A?
?? ?A = 1 – 10 + 3 – 12 + 5 – 14 + 7 + … 60 ??? ? ? ? ? ? , ? ?A ?? ?? ? ? ? ? ?? 
Options:
1) – 360
2) – 310
3) – 240
4) – 270
Correct Answer: – 270
Candidate Answer: – 270
QID : 2 - How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
1000 ? ?2000 ? ? ???? ??? ? ?? ? ? ???? ? ? ? ? ? ? ? ?? ? ? ? ? , ? ?? ? 341 ? ? ? ? ? ? ? ?? ??? ? ?? ? ? ?? ? 5 ??? ? ? ? ? 
Options:
1) 3
2) 2
3) 4
4) 1
Correct Answer: 3
Candidate Answer: 3
QID : 3 - Which of the following statement(s) is/are TRUE?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v(64) + v(0.0064) + v(0.81) + v(0.0081) = 9.07
II. v(0.010201) + v(98.01) + v(0.25) = 11.51
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only I
? ? ? ?I
Candidate Answer: Only I
? ? ? ?I
QID : 4 - Which of the following statement(s) is/are TRUE?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ???? ? ?/? ? ?
I. (0.7)
2
 + (0.07)
2
 + (11.1)
2
 > 123.8
II. (1.12)
2
 + (10.3)
2
 + (1.05)
2
 > 108.3
Page - 2
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 5 - 
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Only II
? ? ? ?II
Candidate Answer: Only II
? ? ? ?II
QID : 6 - Which of the following statement(s) is/are TRUE?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181
Options:
1) Only I
? ? ? ?I
2) Only II
? ? ? ?II
3) Both I and II
I ? ??II ?? ? ? ?
4) Neither I nor II
? ? ?I ? ??II
Correct Answer: Both I and II
I ? ??II ?? ? ? ?
Candidate Answer: Only I
? ? ? ?I
Page - 3
QID : 7 - If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)?
?? ?1 + (1/2) + (1/3) + … + (1/20) = k ? ? , ? ?(1/4) + (1/6) + (1/8) + … + (1/40) ?? ?? ? ? ? ? ?? 
Options:
1) k/2
2) 2k
3) (k – 1)/2
4) (k + 1)/2
Correct Answer: (k – 1)/2
Candidate Answer: (k – 1)/2
QID : 8 - If A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
 and C = 3
15
 + 3
14
 + 3
13
 + … + 3
o
, then which of the following option is TRUE?
?? ?A = 2
32
, B = 2
31
 + 2
30
 + 2
29
 + … + 2
o
? ??C = 3
15 
+ 3
14
 + 3
13
 + … + 3
o
? ? , ? ? ? ? ???? ? ? ?? ? ? ? ? ?? ? ?? ? ? ???? ? ??? ? ? ? 
Options:
1) C > B > A
2) C > A > B
3) A > B > C
4) A > C > B
Correct Answer: C > A > B
Candidate Answer: C > A > B
QID : 9 - If x + y = 10 and xy = 4, then what is the value of x
4
 + y
4
?
?? ?x + y = 10 ? ??xy = 4 ? ? , ? ?x
4
 + y
4
?? ?? ? ? ? ? ?? 
Options:
1) 8464
2) 8432
3) 7478
4) 6218
Correct Answer: 8432
Candidate Answer: 8432
QID : 10 - M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided 
by 11?
M ? ? ? ? ? ?? ? ?? ??? ? ???? ? ? ?? ? ? ? ?? ? , ?? 6 ? ??5 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ? ? ?? ? ?????? 5 ? ??3 ?? ? ? ? ? ?? M ??11 ? ? ? ? ? ? ? ?? ? ??? ?? ? ? ? ? ? ? ?? ? ? ? ?? ? ? ? 
Options:
1) 1
2) 2
3) 3
4) 4
Correct Answer: 4
Candidate Answer: 4
QID : 11 - Which of the following statement(s) is/are TRUE?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
? ? ???? ? ? ?? ? ? ? ? ?? ? ?? /? ? ??? ? ??? ? ? /? ? ?
I. v5 + v5 > v7 + v3
II. v6 + v7 > v8 + v5
III. v3 + v9 > v6 + v6
Options:
1) Only I
? ? ? ?I
2) Only I and II
? ? ? ?I ? ??II
3) Only II and III
? ? ? ?II ? ??III
4) Only I and III
? ? ? ?I ? ??III
Correct Answer: Only I and II
? ? ? ?I ? ??II
Candidate Answer: Only I and II
? ? ? ?I ? ??II
Page - 4
QID : 12 - 
Options:
1) 97
2) (2v3) + 2
3) (4v6) + 1
4) 98
Correct Answer: 97
Candidate Answer: 97
QID : 13 - If the difference between the roots of the equation Ax
2
 – Bx + C = 0 is 4, then which of the following is TRUE?
?? ? ??? ???Ax
2
 – Bx + C = 0 ? ? ? ? ? ? ? ?? ? ? ? ? 4 ? ? , ? ? ? ? ???? ? ? ?? ? ? ? ? ?? ? ?? ? ??? ? ? ? 
Options:
1) B
2
 – 16A
2
 = 4AC + 4B
2
2) B
2
 – 10A
2
 = 4AC + 6A
2
3) B
2
 – 8A
2
 = 4AC + 10A
2
4) B
2
 – 16A
2
 = 4AC + 8B
2
Correct Answer: B
2
 – 10A
2
 = 4AC + 6A
2
Candidate Answer: B
2
 – 10A
2
 = 4AC + 6A
2
QID : 14 - a and ß are the roots of quadratic equation. If a + ß = 8 and a – ß = 2v5, then which of the following equation will have roots a
4
 and ß
4
?
a ? ??ß ? ??? ? ??? ??? ? ? ? ? ? ? ? ? ?? ? a + ß = 8 ? ??a – ß = 2v5 ? ? , ? ?a
4
? ??ß
4
? ? ???? ? ? ?? ? ? ? ? ? ?? ??? ??? ? ? ? ? ? ? ? ? 
Options:
1) x
2
 – 1522x + 14641 = 0
2) x
2
 + 1921x + 14641 = 0
3) x
2
– 1764x + 14641 = 0
4) x
2
+ 2520x + 14641 = 0
Correct Answer: x
2
 – 1522x + 14641 = 0
Candidate Answer: x
2
 – 1522x + 14641 = 0
QID : 15 - If a and b are the roots of the equation Px
2
 – Qx + R = 0, then what is the value of (1/a
2
) + (1/b
2
) + (a/b) + (b/a)?
?? ?a ? ??b ??? ???Px
2
 – Qx + R = 0  ? ? ? ? ? ? ? , ? ?(1/a
2
) + (1/b
2
) + (a/b) + (b/a) ?? ?? ? ? ? ? ?? 
Options:
1) 
2) 
3) 
4)
Page - 5
Correct Answer:
Candidate Answer:
QID : 16 - If x
2
 – 16x – 59 = 0, then what is the value of (x – 6)
2
 + [1/(x – 6)
2
]?
?? ?x
2
 – 16x – 59 = 0 ? ? , ? ?(x – 6)
2
 + [1/(x – 6)
2
] ?? ?? ? ? ? ? ?? 
Options:
1) 14
2) 18
3) 16
4) 20
Correct Answer: 18
Candidate Answer: 14
QID : 17 - If A and B are the roots of the equation Ax
2
 – A
2
x + AB = 0, then what is the value of A and B respectively?
?? ?A ? ??B ??? ???Ax
2
 – A
2
x + AB = 0 ? ? ? ? ? ? ? , ? ? ?????? A ? ??B ?? ?? ? ? ? ? ?? 
Options:
1) 1, 0
2) 1, 1
3) 0, 2
4) 0, 1
Correct Answer: 1, 0
Candidate Answer: 1, 0
QID : 18 - 
a and ß are the roots of the quadratic equation x
2
 – x – 1 = 0. What is the value of a
8
 + ß
8
?
a ? ??ß ? ??? ? ??? ???x
2
 – x – 1 = 0 ? ? ? ? ? ? ? ? a
8
 + ß
8
?? ?? ? ? ? ? ??
Options:
1) 47
2) 54
3) 59
4) 68
Correct Answer: 47
Candidate Answer: 59
QID : 19 - If a + b + c = 9, ab + bc + ca = 26, a
3
 + b
3
 = 91, b
3
 + c
3
 = 72 and c
3
 + a
3
 = 35, then what is the value of abc?
?? ?a + b + c = 9, ab + bc + ca = 26, a
3
 + b
3
 = 91, b
3
 + c
3
 = 72 ? ??c
3
 + a
3
 = 35 ? ? , ? ?abc ?? ?? ? ? ? ? ?? 
Options:
1) 48
2) 24
3) 36
4) 42
Correct Answer: 24
Candidate Answer: 42
QID : 20 - If x
3
 – 4x
2
 + 19 = 6(x – 1), then what is the value of [x
2
 + (1/x – 4)]?
?? ?x
3
 – 4x
2
 + 19 = 6(x – 1) ? ? , ? ?[x
2
 + (1/x – 4)] ?? ?? ? ? ? ? ?? 
Options:
1) 3
2) 5
3) 6
4) 8
Page - 6
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