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QID : 1 - If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?
?? N = 1 + 11 + 111 + 1111 + … +111111111 ??, ?? N ? ? ??? ?? ???  ?? ???
Options:
1) 45
2) 18
3) 36
4) 5
Correct Answer: 45
Candidate Answer: 45
QID : 2 - What is the sum of ?rst 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?
1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + …. ? ? ?? 40 ?? ?? ???  ?? ???
Options:
1) 1010
2) 1115
3) 1030
4) 1031
Correct Answer: 1030
Candidate Answer: 1030
QID : 3 - 
Options:
 
1) 222222222
2) 111111111
3) 555555555
4) 525252525
Correct Answer: 555555555
Candidate Answer: 222222222
QID : 4 - 
Options:
1) 2.4
2) 2
3) 4
4) 3
Correct Answer: 3
Candidate Answer: [ NOT ANSWERED ]
Page - 2
Page 2


QID : 1 - If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?
?? N = 1 + 11 + 111 + 1111 + … +111111111 ??, ?? N ? ? ??? ?? ???  ?? ???
Options:
1) 45
2) 18
3) 36
4) 5
Correct Answer: 45
Candidate Answer: 45
QID : 2 - What is the sum of ?rst 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?
1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + …. ? ? ?? 40 ?? ?? ???  ?? ???
Options:
1) 1010
2) 1115
3) 1030
4) 1031
Correct Answer: 1030
Candidate Answer: 1030
QID : 3 - 
Options:
 
1) 222222222
2) 111111111
3) 555555555
4) 525252525
Correct Answer: 555555555
Candidate Answer: 222222222
QID : 4 - 
Options:
1) 2.4
2) 2
3) 4
4) 3
Correct Answer: 3
Candidate Answer: [ NOT ANSWERED ]
Page - 2
QID : 5 - 
Options:
1) 2
2) 3
3) 1
4) 4
Correct Answer: 2
Candidate Answer: 1
QID : 6 - 
Options:
1) 6
2) 8
3) 5
4) 7
Correct Answer: 8
Candidate Answer: 8
QID : 7 - 
Options:
 
1) 21/509
2) 18/403
3) 25/301
4) 29/31
Correct Answer: 25/301
Candidate Answer: 29/31
Page - 3
Page 3


QID : 1 - If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?
?? N = 1 + 11 + 111 + 1111 + … +111111111 ??, ?? N ? ? ??? ?? ???  ?? ???
Options:
1) 45
2) 18
3) 36
4) 5
Correct Answer: 45
Candidate Answer: 45
QID : 2 - What is the sum of ?rst 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?
1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + …. ? ? ?? 40 ?? ?? ???  ?? ???
Options:
1) 1010
2) 1115
3) 1030
4) 1031
Correct Answer: 1030
Candidate Answer: 1030
QID : 3 - 
Options:
 
1) 222222222
2) 111111111
3) 555555555
4) 525252525
Correct Answer: 555555555
Candidate Answer: 222222222
QID : 4 - 
Options:
1) 2.4
2) 2
3) 4
4) 3
Correct Answer: 3
Candidate Answer: [ NOT ANSWERED ]
Page - 2
QID : 5 - 
Options:
1) 2
2) 3
3) 1
4) 4
Correct Answer: 2
Candidate Answer: 1
QID : 6 - 
Options:
1) 6
2) 8
3) 5
4) 7
Correct Answer: 8
Candidate Answer: 8
QID : 7 - 
Options:
 
1) 21/509
2) 18/403
3) 25/301
4) 29/31
Correct Answer: 25/301
Candidate Answer: 29/31
Page - 3
QID : 8 - What is the unit digit of 1
5
 + 2
5
 + 3
5
 + … + 20
5
?
1
5
 + 2
5
 + 3
5
 + … + 20
5
 ?? ???? ???  ?? ???
Options:
1) 0
2) 5
3) 2
4) 4
Correct Answer: 0
Candidate Answer: [ NOT ANSWERED ]
QID : 9 - x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?
x, y ??? z ??? ? ?? ??? ? ? ??? x + y + z = 38 ??? x ?? ????? ???  ?? ???
Options:
1) 19
2) 23
3) 31
4) 29
Correct Answer: 31
Candidate Answer: [ NOT ANSWERED ]
QID : 10 - N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?
N ??? ??? ? ???? ??? ??? ? ?? ?? ??? ?? N ?? 13 ?? ????? ??? ???? ??, ?? ?????  ?? ?????
Options:
1) 8
2) 9
3) 7
 
4) 10
Correct Answer: 10
Candidate Answer: 10
QID : 11 - How many natural numbers are there between v261 and v45109?
v261 ??? v45109 ? ? ?? ???? ?? ? ?? ?? ??? ? ??
Options:
1) 144
2) 196
3) 168
4) 195
Correct Answer: 196
Candidate Answer: 195
QID : 12 - What is the value of v121 + v12321 + v1234321 + v123454321?
v121 + v12321 + v1234321 + v123454321 ?? ???  ?? ???
Options:
 
1) 12345
 
2) 123456
3) 12344
 
4) 123454
Correct Answer: 12344
Candidate Answer: 12344
QID : 13 - p
3
 + q
3
 + r
3
 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a
3
 + b
3
 + c
3
 – 3abc?
p
3
 + q
3
 + r
3
 – 3pqr = 4 ??? ?? a = q + r, b = r + p ??? c = p + q ?, ?? a
3
 + b
3
 + c
3
 – 3abc ?? ???  ?? ???
Options:
1) 4
2) 8
3) 2
 
4) 12
Correct Answer: 8
Candidate Answer: 8
QID : 14 - If a and ß are the roots of the equation x
2
 + x – 1 = 0, then what is the equation whose roots are a
5
 and ß
5
?
?? a ??? ß ?????? x
2
 + x – 1 = 0 ? ? ??? ?, ?? ?? ??????  ?? ?? ??? ? ??? a
5
 ??? ß
5
 ??
Page - 4
Page 4


QID : 1 - If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?
?? N = 1 + 11 + 111 + 1111 + … +111111111 ??, ?? N ? ? ??? ?? ???  ?? ???
Options:
1) 45
2) 18
3) 36
4) 5
Correct Answer: 45
Candidate Answer: 45
QID : 2 - What is the sum of ?rst 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?
1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + …. ? ? ?? 40 ?? ?? ???  ?? ???
Options:
1) 1010
2) 1115
3) 1030
4) 1031
Correct Answer: 1030
Candidate Answer: 1030
QID : 3 - 
Options:
 
1) 222222222
2) 111111111
3) 555555555
4) 525252525
Correct Answer: 555555555
Candidate Answer: 222222222
QID : 4 - 
Options:
1) 2.4
2) 2
3) 4
4) 3
Correct Answer: 3
Candidate Answer: [ NOT ANSWERED ]
Page - 2
QID : 5 - 
Options:
1) 2
2) 3
3) 1
4) 4
Correct Answer: 2
Candidate Answer: 1
QID : 6 - 
Options:
1) 6
2) 8
3) 5
4) 7
Correct Answer: 8
Candidate Answer: 8
QID : 7 - 
Options:
 
1) 21/509
2) 18/403
3) 25/301
4) 29/31
Correct Answer: 25/301
Candidate Answer: 29/31
Page - 3
QID : 8 - What is the unit digit of 1
5
 + 2
5
 + 3
5
 + … + 20
5
?
1
5
 + 2
5
 + 3
5
 + … + 20
5
 ?? ???? ???  ?? ???
Options:
1) 0
2) 5
3) 2
4) 4
Correct Answer: 0
Candidate Answer: [ NOT ANSWERED ]
QID : 9 - x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?
x, y ??? z ??? ? ?? ??? ? ? ??? x + y + z = 38 ??? x ?? ????? ???  ?? ???
Options:
1) 19
2) 23
3) 31
4) 29
Correct Answer: 31
Candidate Answer: [ NOT ANSWERED ]
QID : 10 - N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?
N ??? ??? ? ???? ??? ??? ? ?? ?? ??? ?? N ?? 13 ?? ????? ??? ???? ??, ?? ?????  ?? ?????
Options:
1) 8
2) 9
3) 7
 
4) 10
Correct Answer: 10
Candidate Answer: 10
QID : 11 - How many natural numbers are there between v261 and v45109?
v261 ??? v45109 ? ? ?? ???? ?? ? ?? ?? ??? ? ??
Options:
1) 144
2) 196
3) 168
4) 195
Correct Answer: 196
Candidate Answer: 195
QID : 12 - What is the value of v121 + v12321 + v1234321 + v123454321?
v121 + v12321 + v1234321 + v123454321 ?? ???  ?? ???
Options:
 
1) 12345
 
2) 123456
3) 12344
 
4) 123454
Correct Answer: 12344
Candidate Answer: 12344
QID : 13 - p
3
 + q
3
 + r
3
 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a
3
 + b
3
 + c
3
 – 3abc?
p
3
 + q
3
 + r
3
 – 3pqr = 4 ??? ?? a = q + r, b = r + p ??? c = p + q ?, ?? a
3
 + b
3
 + c
3
 – 3abc ?? ???  ?? ???
Options:
1) 4
2) 8
3) 2
 
4) 12
Correct Answer: 8
Candidate Answer: 8
QID : 14 - If a and ß are the roots of the equation x
2
 + x – 1 = 0, then what is the equation whose roots are a
5
 and ß
5
?
?? a ??? ß ?????? x
2
 + x – 1 = 0 ? ? ??? ?, ?? ?? ??????  ?? ?? ??? ? ??? a
5
 ??? ß
5
 ??
Page - 4
Options:
 
1) x
2
 + 7x – 1 = 0
2) x
2
 – 7x – 1 = 0
 
3) x
2
 – 11x – 1 = 0
4) x
2
 + 11x – 1 = 0
Correct Answer: x
2
 + 11x – 1 = 0
Candidate Answer: x
2
 – 11x – 1 = 0
QID : 15 - If x and y are natural numbers such that x + y = 2017, then what is the value of (– 1)
x
 + (– 1)
y
?
?? x ??? y ?? ? ?? ?? ??? ? ?? ??? ?? ? x + y = 2017 ?, ?? (– 1)
x
 + (– 1)
y
 ?? ???  ?? ???
Options:
1) 2
 
2) – 2
3) 0
4) 1
Correct Answer: 0
Candidate Answer: 0
QID : 16 - If x + (1/x) = (v3 + 1)/2, then what is the value of x
4
 + (1/x
4
)?
?? x + (1/x) = (v3 + 1)/2 ??, ?? x
4
 + (1/x
4
) ?? ???  ?? ???
Options:
 
1) (4v3 – 1)/4
2) (4v3 + 1)/2
 
3) (–4v3 – 1)/4
4) (–4v3 – 1)/2
Correct Answer: (–4v3 – 1)/4
Candidate Answer: [ NOT ANSWERED ]
QID : 17 - If a + a
2
 + a
3
 – 1 = 0, then what is the value of a
3
 + (1/a)?
?? a + a
2
 + a
3
 – 1 = 0 ??, ?? a
3
 + (1/a) ?? ???  ?? ???
Options:
1) 1
2) 4
3) 2
4) 3
Correct Answer: 2
Candidate Answer: 2
QID : 18 - If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?
?? a – (1/a) = b, b – (1/b) = c ??? c – (1/c) = a ?, ?? (1/ab) + (1/bc) + (1/ca) ?? ???  ?? ???
Options:
1) – 3
2) – 6
3) – 1
4) – 9
Correct Answer: – 3
Candidate Answer: – 1
QID : 19 - If the roots of the equation a(b – c)x
2
 +b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?
?? ?????? a(b – c)x
2
 + b(c – a)x + c(a – b) = 0 ? ? ??? ????? ?, ?? ????? ? ?? ??? ?? ??? ???
Options:
 
1) b = ( a + c)/ ac
 
2) 2/ b = (1/ a) + (1/ c)
3) 2 b = (1/ a) + (1/ c)
4) abc = ab + bc + ca
Correct Answer: 2/ b = (1/ a) + (1/ c)
Candidate Answer: [ NOT ANSWERED ]
QID : 20 - If [v(a
2
 + b
2
 + ab)] + [v(a
2
 + b
2
 – ab)] = 1, then what is the value of (1 – a
2
)(1 – b
2
)?
?? [v(a
2
 + b
2
 + ab)] + [v(a
2
 + b
2
 – ab)] = 1 ??, ?? (1 – a
2
)(1 – b
2
) ?? ???  ?? ???
Options:
1) 1/4
2) 4/7
3) 5/4
4) 3/4
Page - 5
Page 5


QID : 1 - If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?
?? N = 1 + 11 + 111 + 1111 + … +111111111 ??, ?? N ? ? ??? ?? ???  ?? ???
Options:
1) 45
2) 18
3) 36
4) 5
Correct Answer: 45
Candidate Answer: 45
QID : 2 - What is the sum of ?rst 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?
1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + …. ? ? ?? 40 ?? ?? ???  ?? ???
Options:
1) 1010
2) 1115
3) 1030
4) 1031
Correct Answer: 1030
Candidate Answer: 1030
QID : 3 - 
Options:
 
1) 222222222
2) 111111111
3) 555555555
4) 525252525
Correct Answer: 555555555
Candidate Answer: 222222222
QID : 4 - 
Options:
1) 2.4
2) 2
3) 4
4) 3
Correct Answer: 3
Candidate Answer: [ NOT ANSWERED ]
Page - 2
QID : 5 - 
Options:
1) 2
2) 3
3) 1
4) 4
Correct Answer: 2
Candidate Answer: 1
QID : 6 - 
Options:
1) 6
2) 8
3) 5
4) 7
Correct Answer: 8
Candidate Answer: 8
QID : 7 - 
Options:
 
1) 21/509
2) 18/403
3) 25/301
4) 29/31
Correct Answer: 25/301
Candidate Answer: 29/31
Page - 3
QID : 8 - What is the unit digit of 1
5
 + 2
5
 + 3
5
 + … + 20
5
?
1
5
 + 2
5
 + 3
5
 + … + 20
5
 ?? ???? ???  ?? ???
Options:
1) 0
2) 5
3) 2
4) 4
Correct Answer: 0
Candidate Answer: [ NOT ANSWERED ]
QID : 9 - x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?
x, y ??? z ??? ? ?? ??? ? ? ??? x + y + z = 38 ??? x ?? ????? ???  ?? ???
Options:
1) 19
2) 23
3) 31
4) 29
Correct Answer: 31
Candidate Answer: [ NOT ANSWERED ]
QID : 10 - N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?
N ??? ??? ? ???? ??? ??? ? ?? ?? ??? ?? N ?? 13 ?? ????? ??? ???? ??, ?? ?????  ?? ?????
Options:
1) 8
2) 9
3) 7
 
4) 10
Correct Answer: 10
Candidate Answer: 10
QID : 11 - How many natural numbers are there between v261 and v45109?
v261 ??? v45109 ? ? ?? ???? ?? ? ?? ?? ??? ? ??
Options:
1) 144
2) 196
3) 168
4) 195
Correct Answer: 196
Candidate Answer: 195
QID : 12 - What is the value of v121 + v12321 + v1234321 + v123454321?
v121 + v12321 + v1234321 + v123454321 ?? ???  ?? ???
Options:
 
1) 12345
 
2) 123456
3) 12344
 
4) 123454
Correct Answer: 12344
Candidate Answer: 12344
QID : 13 - p
3
 + q
3
 + r
3
 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a
3
 + b
3
 + c
3
 – 3abc?
p
3
 + q
3
 + r
3
 – 3pqr = 4 ??? ?? a = q + r, b = r + p ??? c = p + q ?, ?? a
3
 + b
3
 + c
3
 – 3abc ?? ???  ?? ???
Options:
1) 4
2) 8
3) 2
 
4) 12
Correct Answer: 8
Candidate Answer: 8
QID : 14 - If a and ß are the roots of the equation x
2
 + x – 1 = 0, then what is the equation whose roots are a
5
 and ß
5
?
?? a ??? ß ?????? x
2
 + x – 1 = 0 ? ? ??? ?, ?? ?? ??????  ?? ?? ??? ? ??? a
5
 ??? ß
5
 ??
Page - 4
Options:
 
1) x
2
 + 7x – 1 = 0
2) x
2
 – 7x – 1 = 0
 
3) x
2
 – 11x – 1 = 0
4) x
2
 + 11x – 1 = 0
Correct Answer: x
2
 + 11x – 1 = 0
Candidate Answer: x
2
 – 11x – 1 = 0
QID : 15 - If x and y are natural numbers such that x + y = 2017, then what is the value of (– 1)
x
 + (– 1)
y
?
?? x ??? y ?? ? ?? ?? ??? ? ?? ??? ?? ? x + y = 2017 ?, ?? (– 1)
x
 + (– 1)
y
 ?? ???  ?? ???
Options:
1) 2
 
2) – 2
3) 0
4) 1
Correct Answer: 0
Candidate Answer: 0
QID : 16 - If x + (1/x) = (v3 + 1)/2, then what is the value of x
4
 + (1/x
4
)?
?? x + (1/x) = (v3 + 1)/2 ??, ?? x
4
 + (1/x
4
) ?? ???  ?? ???
Options:
 
1) (4v3 – 1)/4
2) (4v3 + 1)/2
 
3) (–4v3 – 1)/4
4) (–4v3 – 1)/2
Correct Answer: (–4v3 – 1)/4
Candidate Answer: [ NOT ANSWERED ]
QID : 17 - If a + a
2
 + a
3
 – 1 = 0, then what is the value of a
3
 + (1/a)?
?? a + a
2
 + a
3
 – 1 = 0 ??, ?? a
3
 + (1/a) ?? ???  ?? ???
Options:
1) 1
2) 4
3) 2
4) 3
Correct Answer: 2
Candidate Answer: 2
QID : 18 - If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?
?? a – (1/a) = b, b – (1/b) = c ??? c – (1/c) = a ?, ?? (1/ab) + (1/bc) + (1/ca) ?? ???  ?? ???
Options:
1) – 3
2) – 6
3) – 1
4) – 9
Correct Answer: – 3
Candidate Answer: – 1
QID : 19 - If the roots of the equation a(b – c)x
2
 +b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?
?? ?????? a(b – c)x
2
 + b(c – a)x + c(a – b) = 0 ? ? ??? ????? ?, ?? ????? ? ?? ??? ?? ??? ???
Options:
 
1) b = ( a + c)/ ac
 
2) 2/ b = (1/ a) + (1/ c)
3) 2 b = (1/ a) + (1/ c)
4) abc = ab + bc + ca
Correct Answer: 2/ b = (1/ a) + (1/ c)
Candidate Answer: [ NOT ANSWERED ]
QID : 20 - If [v(a
2
 + b
2
 + ab)] + [v(a
2
 + b
2
 – ab)] = 1, then what is the value of (1 – a
2
)(1 – b
2
)?
?? [v(a
2
 + b
2
 + ab)] + [v(a
2
 + b
2
 – ab)] = 1 ??, ?? (1 – a
2
)(1 – b
2
) ?? ???  ?? ???
Options:
1) 1/4
2) 4/7
3) 5/4
4) 3/4
Page - 5
Correct Answer: 3/4
Candidate Answer: 3/4
QID : 21 - If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?
?? 3x + 4y – 11 = 18 ??? 8x – 6y + 12 = 6 ?, ?? 5x – 3y – 9 ?? ???  ?? ???
Options:
1) 18
 
2) – 9
 
3) – 27
4) – 18
Correct Answer: – 9
Candidate Answer: – 9
QID : 22 - If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?
?? a + b + c = 7/12, 3a – 4b + 5c = 3/4 ??? 7a – 11b – 13c = – 7/12 ?, ?? a + c ?? ???  ?? ???
Options:
1) 1/2
 
2) 5/12
3) 3/4
4) 1/4
Correct Answer: 5/12
Candidate Answer: [ NOT ANSWERED ]
QID : 23 - 
Options:
1) 45
2) 60
3) 75
4) 50
Correct Answer: 75
Candidate Answer: 75
QID : 24 - In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?
??? PQR ?, C ? ?  ? ??? PQ = 30 ??.??., QR = 36 ??.??. ??? PR = 50 ??.??. ?? ?? D, QR ?? ???  ??, ?? CD ? ???? (??.??. ?)  ?? ???
Options:
 
1) (4v86)/3
2) (2v86)/3
3) (5v86)/3
4) (5v86)/2
Correct Answer: (4v86)/3
Candidate Answer: [ NOT ANSWERED ]
Page - 6
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