Question
Which two digits and signs can be interchanged so as to
balance the given equation? 328 - 82 + 120 X 6 ÷ 41 = 646Solution
Given Equation: 328 - 82 + 120 X 6 ÷ 41 = 646 Interchanging the digits and signs given in option 'a', we get: 328 ÷ 6 + 120 X 82 - 41 = 646 LHS = 328 ÷ 6 + 120 X 82 - 41 Cannot be determined as '328' is not completely divisible by '6'. Interchanging the digits and signs given in option 'b', we get: 328 ÷ 41 + 120 X 6 - 82 = 646 LHS = 8 + 120 X 6 - 82 = 8 + 720 - 82 = 728 - 82 = 646 646 = 646 LHS = RHS Interchanging the digits and signs given in option 'c', we get: 328 - 41 + 120 ÷ 6 X 82 = 646 LHS = 328 - 41 + 120 ÷ 6 X 82 = 328 - 41 + 20 X 82 = 328 - 41 + 1640 = 1968 - 41 = 1927 1927 ≠646 LHS ≠RHS Interchanging the digits and signs given in option 'd', we get: 328 - 82 ÷ 6 X 120 + 41 = 646 LHS = 328 - 82 ÷ 6 X 120 + 41 = 328 - 1640 + 41 = 369 - 1640 = -1271 -1271 ≠646 LHS ≠RHS So, only after interchanging the digits and signs given in option 'b', we can get a balanced equation. Hence, option b.
- A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN - Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF
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