Symbiosis Entrance Test
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.) (17, 126, 7) (31, 286, 9)
Option 1: (29, 270, 9)
Option 2: (36, 223, 6)
Option 3: (42, 173, 4)
Option 4: (12, 117, 9)
Correct Answer: (36, 223, 6)
Solution : Given: (17, 126, 7); (31, 286, 9)
Here, (17, 126, 7)→(17 × 7) + 7 = 119 + 7 = 126 (31, 286, 9)→(31 × 9) + 7 = 279 + 7 = 286
Let's check each option – First option: (29, 270,
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.) (53, 36, 25) (71, 54, 43)
Option 1: (41, 23, 18)
Option 2: (99, 82, 71)
Option 3: (66, 53, 41)
Option 4: (32, 14, 7)
Correct Answer: (99, 82, 71)
Solution : Given: (53, 36, 25); (71, 54, 43)
In the above-given set of numbers, divide the sum of the first and third numbers by 2 and subtract 3 from the resultant to get the second number – ⇒(53, 36, 25)→{(53 + 25) ÷ 2}
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.) (26, 120, 34) (14, 110, 41)
Option 1: (36, 106, 17)
Option 2: (72, 240, 16)
Option 3: (44, 114, 24)
Option 4: (15, 450, 8)
Correct Answer: (36, 106, 17)
Solution : Given: (26, 120, 34); (14, 110, 41)
Here, (26, 120, 34)→(26 + 34) × 2 = 60 × 2 = 120 (14, 110, 41)→(14 + 41) × 2 = 55 × 2 = 110
Now, let's check the given options – First option:
Question : The difference between Simple and Compound Interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is:
Option 1: Rs. 684.32
Option 2: Rs. 788.48
Option 3: Rs. 784.58
Option 4: Rs. 4,000
Correct Answer: Rs. 788.48
Solution : The formula for the difference between Compound Interest(CI) and Simple Interest(SI) for 3 years is given by: $CI-SI=\frac{PR^{2}(300+R)}{100^{3}}$, where $P$ is principal and $R$ is rate of interest per annum compounded annually. ⇒ $CI-SI=\frac{40000\times8^{2}\times(300+8)}{100^{3}}$ ⇒ $CI-SI=\frac{788480000}{1000000}$ $\therefore CI-SI=788.48$ Hence, the correct answer is Rs.
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.) (82, 75, 66) (69, 62, 53)
Option 1: (21, 16, 9)
Option 2: (49, 52, 35)
Option 3: (61, 54, 45)
Option 4: (36, 28, 21)
Correct Answer: (61, 54, 45)
Solution : Given: (82, 75, 66); (69, 62, 53)
The pattern is as follows – (82, 75, 66)→82 – 75 = 7; 75 – 66 = 9 (69, 62, 53)→69 – 62 = 7; 62 – 53 = 9
Let's check the options – First
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.) (4, 6, 72) (5, 7,105)
Option 1: (6, 8, 144)
Option 2: (2, 5, 40)
Option 3: (3, 6, 36)
Option 4: (6, 9, 108)
Correct Answer: (6, 8, 144)
Solution : Given: (4, 6, 72); (5, 7,105)
Add 2 to the first number, to get the second number and multiply the product of the first and second numbers by 3, to get the third number – (4, 6, 72)→4 + 2 = 6; 4
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.) (10, 30, 90) (20, 60, 180)
Option 1: (30, 45, 60)
Option 2: (30, 90, 270)
Option 3: (30, 60, 90)
Option 4: (30, 90, 310)
Correct Answer: (30, 90, 270)
Solution : Given: (10, 30, 90); (20, 60,180)
Multiply the first number by 3, to get the second number and multiply the second number by 3, to get the third number – (10, 30, 90)→10 × 3 = 30; 30 × 3 = 90 (20,
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. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (6, 12, 228) (8, 3, 515)
Option 1: (3, 28, 56)
Option 2: (13, 11, 172)
Option 3: (4, 18, 82)
Option 4: (9, 23, 119)
Correct Answer: (4, 18, 82)
Solution : Given: (6, 12, 228); (8, 3, 515)
Here, (6, 12, 228)→(6)3 + 12 = 216 + 12 = 228 (8, 3, 515)→(8)3 + 3 = 512 + 3 = 515
Let's check the options – First option: (3, 28, 56)→(3)3
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