Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(99, 199, 1199)
(15, 115, 1115)
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.)
Option 1: (11, 111, 1000)
Option 2: (33, 133, 1133)
Option 3: (22, 222, 2222)
Option 4: (77, 717, 7117)
Correct Answer: (33, 133, 1133)
Solution : Given:
(99,199,1199); (15,115,1115)
Here, (99, 199, 1199)→99 + (10)2 = 199; 199 + (10)3 = 1199
(15, 115, 1115)→15 + (10)2 = 115; 115 + (10)3 = 1115
Let's check each option –
First option: (11, 111, 1000)→11 + (10)2 = 111; 111 + (10)3 = 1111 ≠ 1000
Second option: (33, 133, 1133)→33 + (10)2 = 133; 133 + (10)3 = 1133
Third option: (22, 222, 2222)→22 + (10)2 = 122 ≠ 222; 122 + (10)3 = 1122 ≠ 2222
Fourth option: (77, 717, 7117)→77 + (10)2 = 177 ≠ 717; 177 + (10)3 = 1177 ≠ 7117
So, only the second option follows the pattern followed by the set given in the question. Hence, the second option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(312, 24, 13)
(645, 43, 15)
Option 1: (347, 27, 12)
Option 2: (347, 22, 17)
Option 3: (374, 17, 12)
Option 4: (374, 22, 17)
Correct Answer: (374, 22, 17)
Solution : Given:
(312, 24, 13); (645, 43, 15)
In the given sets, multiply the second and the third numbers to get the first number.
(312, 24, 13)→24 × 13 = 312
(645, 43, 15)→43 × 15 = 645
Let's check the options –
First option: (347, 27, 12)→27 × 12 = 324 ≠ 347
Second option: (347, 22, 17)→22 × 17 = 374 ≠ 347
Third option: (374, 17, 12)→12 × 17 = 204 ≠ 374
Fourth option: (374, 22, 17)→22 × 17 = 374
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence the fourth option is correct.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(12, 22, 34)
(14, 15, 29)
Option 1: (10, 20, 24)
Option 2: (16, 17, 33)
Option 3: (8, 9, 15)
Option 4: (14, 15, 19)
Correct Answer: (16, 17, 33)
Solution : Given:
(12, 22, 34); (14, 15, 29)
Add the first and second numbers, to get the third number –
(12, 22, 34)→12 + 22 = 34
(14, 15, 29)→14 + 15 = 29
Let's check each option –
First option: (10, 20, 24)→10 + 20 = 30 ≠ 24
Second option: (16, 17, 33)→16 + 17 = 33
Third option: (8, 9, 15)→8 + 9 = 17 ≠ 15
Fourth option: (14, 15, 19)→14 + 15 = 29 ≠ 19
So, only the first option follows the same pattern. Hence, the first option is correct.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(8, 9, 431)
(11, 8, 1267)
Option 1: (9, 12, 595)
Option 2: (13, 14, 2011)
Option 3: (7, 5, 318)
Option 4: (12, 10, 1528)
Correct Answer: (7, 5, 318)
Solution : Given:
(8, 9, 431); (11, 8, 1267)
Here, (8, 9, 431)→(8)3 – (9)2 = 512 – 81 = 431
(11, 8, 1267)→(11)3 – (8)2 = 1331 – 64 = 1267
Let's check each option –
First option: (9, 12, 595)→(9)3 – (12)2 = 729 – 144 = 585 ≠ 595
Second option: (13, 14, 2011)→(13)3 – (14)2 = 2197 – 196 = 2001 ≠ 2011
Third option: (7, 5, 318)→(7)3 – (5)2 = 343 – 25 = 318
Fourth option: (12, 10, 1528)→(12)3 – (10)2 = 1728 – 100 = 1628 ≠ 1528
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(NOTE: Operations should be performed on whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(9, 3, 90)
(5, 4, 41)
Option 1: (13, 7, 218)
Option 2: (7, 8, 117)
Option 3: (11, 8, 182)
Option 4: (4,12,162)
Correct Answer: (13, 7, 218)
Solution : Given:
(9, 3, 90); (5, 4, 41)
Add the squares of the first two numbers to obtain the third number —
⇒ (9, 3, 90)→92 + 32 = 81 + 9 = 90
⇒ (5, 4, 41)→52 + 42 = 25 + 16 = 41
Let's check the options —
First option: (13, 7, 218)→132 + 72 = 169 + 49 = 218
Second option: (7, 8,117)→72 + 82 = 49 + 64 = 113 ≠ 117
Third option: (11, 8,182)→112 + 82 = 121 + 64 = 185 ≠ 182
Fourth option: (4,12,162)→42 + 122 = 16 + 144 = 160 ≠ 162
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(7, 49, 343); (8, 64, 512)
Option 1: (6, 36, 206)
Option 2: (5, 25, 225)
Option 3: (11, 121, 1221)
Option 4: (9, 81, 729)
Correct Answer: (9, 81, 729)
Solution : Given:
(7, 49, 343); (8, 64, 512)
The second number is the square of the first number and the third number is the cube of the first number –
(7, 49, 343)→(7)2 = 49; (7)3 = 343
(8, 64, 512)→(8)2 = 64; (8)3 = 512
Let's check the options –
First option: (6, 36, 206)→(6)2 = 36; (6)3 = 216 ≠ 206
Second option: (5, 25, 225)→(5)2 = 25; (5)3 = 125 ≠ 225
Third option: (11, 121, 1221)→(11)2 = 121; (11)3 = 1331 ≠ 1221
Fourth option: (9, 81, 729)→(9)2 = 81; (9)3 = 729
So, only the fourth option follows the same pattern as the given number pair. Hence, the fourth option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(9, 26, 53)
(8, 23, 47)
Option 1: (5, 14, 29)
Option 2: (6, 17, 36)
Option 3: (11, 32, 56)
Option 4: (7, 20, 42)
Correct Answer: (5, 14, 29)
Solution : Given:
(9, 26, 53); (8, 23, 47)
In the given sets, subtract the second number from the third number and divide the resultant by 3 to get the first number.
(9, 26, 53)→53 – 26 = 27; 27 ÷ 3 = 9
(8, 23, 47)→47 – 23 = 24; 24 ÷ 3 = 8
Let's check the options –
First option: (5, 14, 29)→29 – 14 = 15; 15 ÷ 3 = 5
Second option: (6, 17, 36)→36 – 17 = 19; 19 ÷ 3 = 6.3 ≠ 6
Third option: (11, 32, 56)→56 – 32 = 24; 24 ÷ 3 = 8 ≠ 11
Fourth option: (7, 20, 42)→42 – 20 = 22; 22 ÷ 3 = 7.3 ≠ 7
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(8, 6, 50)
(24, 4, 98)
Option 1: (2, 48, 100)
Option 2: (12, 8, 100)
Option 3: (32, 3, 144)
Option 4: (18, 6, 110)
Correct Answer: (18, 6, 110)
Solution : Given:
(8, 6, 50); (24, 4, 98)
Here, (8, 6, 50)→(8 × 6) + 2 = 48 + 2 = 50
(24, 4, 98)→(24 × 4) + 2 = 96 + 2 = 98
Let's check the options –
First option: (2, 48, 100)→(2 × 48) + 2 = 96 + 2 = 98 ≠ 100
Second option: (12, 8, 100)→(12 × 8) + 2 = 96 + 2 = 98 ≠ 100
Third option: (32, 3, 144)→(32 × 3) + 2 = 96 + 2 = 98 ≠ 144
Fourth option: (18, 6, 110)→(18 × 6) + 2 = 108 + 2 = 110
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
Question : The linguistic movement in which state set a precedent for the reorganization of states on linguistic lines in India?
Option 1: Maharashtra
Option 2: Andhra Pradesh
Option 3: Karnataka
Option 4: Tamil Nadu
Correct Answer: Andhra Pradesh
Solution : The linguistic movement in Andhra Pradesh set a precedent for the reorganization of states on linguistic lines in India, as it led to the formation of the first state based on language, inspiring similar demands in other regions.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(9, 7,189)
(4, 13, 156)
Option 1: (5, 9, 160)
Option 2: (6, 9, 162)
Option 3: (8, 5,125)
Option 4: (7, 8, 188)
Correct Answer: (6, 9, 162)
Solution : Given:
(9, 7,189); (4,13,156)
The product of the first and second numbers is multiplied by 3, to get the third number –
⇒ (9, 7,189)→(9 × 7) × 3 = 189
⇒ (4, 13,156)→(4 × 13) × 3 = 156
Let's check each option –
First option: (5, 9,160)→(5 × 9) × 3 = 135 ≠ 160
Second option: (6, 9,162)→(6 × 9) × 3 = 162
Third option: (8, 5,125)→(8 × 5) × 3 = 120 ≠ 125
Fourth option: (7, 8,188)→(7 × 8) × 3 = 168 ≠ 188
So, only the second option follows the same pattern as the given number pair. Hence, the second option is correct.