Question 1
What is the LCM of 45 and 105?
- A4725
- B157.5
- C315
- D630
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Answer: (C) 315
LCM = HCF Γ 3 Γ 7 = 315.
Question 2
What is the unit digit of 9^96?
- A8
- B1
- C2
- D4
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Answer: (B) 1
Unit digits of powers of 9 repeat in a cycle of 4; 96 mod 4 = 0, so the unit digit is 1.
Question 3
What is the value of 73Β² β 34Β²?
- A4173
- B4073
- C4212
- D1521
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Answer: (A) 4173
aΒ² β bΒ² = (a + b)(a β b) = 107 Γ 39 = 4173.
Question 4
What is the LCM of 42 and 70?
- A420
- B105
- C210
- D224
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Answer: (C) 210
LCM = HCF Γ 3 Γ 5 = 210.
Question 5
What is the square root of 2500?
- A49
- B52
- C51
- D50
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Answer: (D) 50
50 Γ 50 = 2500.
Question 6
What is the sum of the first 80 natural numbers?
- A3160
- B3320
- C6400
- D3240
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Answer: (D) 3240
Sum = n(n + 1)/2 = 80 Γ 81/2 = 3240.
Question 7
What is the remainder when 24440 is divided by 9?
- A4
- B6
- C5
- D0
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Answer: (C) 5
24440 = 9 Γ 2715 + 5.
Question 8
What is the unit digit of 27^51?
- A9
- B3
- C7
- D0
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Answer: (B) 3
Unit digits of powers of 7 repeat in a cycle of 4; 51 mod 4 = 3, so the unit digit is 3.
Question 9
What is the value of 97Β² β 47Β²?
- A7200
- B7300
- C2500
- D7100
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Answer: (A) 7200
aΒ² β bΒ² = (a + b)(a β b) = 144 Γ 50 = 7200.
Question 10
What is the LCM of 27 and 45?
- A1215
- B135
- C144
- D270
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Answer: (B) 135
LCM = HCF Γ 3 Γ 5 = 135.
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Question 11
What is the square root of 5625?
- A72
- B74
- C76
- D75
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Answer: (D) 75
75 Γ 75 = 5625.
Question 12
What is the sum of the first 62 natural numbers?
- A3844
- B1891
- C2015
- D1953
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Answer: (D) 1953
Sum = n(n + 1)/2 = 62 Γ 63/2 = 1953.
Question 13
What is the remainder when 79326 is divided by 9?
- A1
- B0
- C8
- D6
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Answer: (B) 0
79326 = 9 Γ 8814 + 0.
Question 14
What is the unit digit of 17^76?
- A1
- B0
- C6
- D4
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Answer: (A) 1
Unit digits of powers of 7 repeat in a cycle of 4; 76 mod 4 = 0, so the unit digit is 1.
Question 15
What is the value of 91Β² β 34Β²?
- A3249
- B7225
- C7125
- D7025
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Answer: (C) 7125
aΒ² β bΒ² = (a + b)(a β b) = 125 Γ 57 = 7125.
Question 16
What is the LCM of 42 and 98?
- A294
- B588
- C4116
- D308
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Answer: (A) 294
LCM = HCF Γ 3 Γ 7 = 294.
Question 17
What is the sum of the first 33 natural numbers?
- A594
- B561
- C528
- D1089
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Answer: (B) 561
Sum = n(n + 1)/2 = 33 Γ 34/2 = 561.
Question 18
What is the unit digit of 17^94?
- A6
- B9
- C0
- D5
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Answer: (B) 9
Unit digits of powers of 7 repeat in a cycle of 4; 94 mod 4 = 2, so the unit digit is 9.
Question 19
What is the square root of 6724?
- A83
- B82
- C84
- D79
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Answer: (B) 82
82 Γ 82 = 6724.
Question 20
What is the HCF of 24 and 30?
- A6
- B12
- C3
- D20
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Answer: (A) 6
24 = 6 Γ 4 and 30 = 6 Γ 5, so HCF = 6.
These are RankerClub practice questions written in the ISRO Scientist pattern. They are not official SSC/IBPS/RRB papers.