In this question, some equations are solved on the basis of a certain system. On the same basis, find out the correct answer from amongst the four alternatives for the unsolved equation:
462 = 551
398 = 487
856 = ?
945
This question tests pattern recognition and logical reasoning. Let's analyze the given equations:
462 = 551
398 = 487
Observe the pattern between the numbers on both sides of the equals sign. Notice that the hundreds digit increases by 1, the tens digit increases by 9, and the units digit decreases by 11. Let's verify:
- For 462 = 551: Hundreds digit: 4 + 1 = 5; Tens digit: 6 + 9 = 15 (carry-over 1 to the hundreds); Units digit: 2 - 11 = -9 (borrow 10 from tens, making it 5-1 =4, leaving 12-11=1)
- For 398 = 487: Hundreds digit: 3 + 1 = 4; Tens digit: 9 + 9 = 18 (carry-over 1 to the hundreds); Units digit: 8 - 11 = -3 (borrow 10 from tens, making it 8-1=7, leaving 18-11 =7)
Applying the same pattern to 856:
- Hundreds digit: 8 + 1 = 9
- Tens digit: 5 + 9 = 14 (carry-over 1 to the hundreds)
- Units digit: 6 - 11 = -5 (borrow 10 from tens, making it 4-1=3, leaving 16-11=5)
Therefore, 856 should equal 945.
Thus, the correct answer is 945.
Similar Questions
Find the missing number in the series:
8 6 7 9 13 11 3 7 ? In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
7x6x8=678
8x9x7=987
6x5x7=567
5x4x6=?Select the missing number from the given alternatives:
7 9 8 8 9 ? 4 9 6 60 90 70 Select the missing number from the given matrix:
Select the missing numbers from the given alternatives:
? 120 150 110 100 90 80 60 40 If 37*14 = 17, 69*33 = 34, 91*125 = 72, then what should 28*56 = ?
Select the missing numbers from the given responses.
If 3 *4 = 10, 5 *8 = 18, 7 *7 =?
In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
If - means ÷, + means ×, ÷ means -, × means +, then which of the following equations is correct?
Important Questions from Mathematical Inequalities
Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.
Statement:
Y ≥ C < O ≥ F < R = B
Conclusions:
I. B > F
II. R > C
Directions: In each of the following questions assuming the given statement to be true, find which of the conclusions among given conclusions is / are definitely true and then give your answers accordingly.
Statement: E < U > L > K ≤ T = H ≤ Q
Conclusions:
I. U > H
II. T ≤ Q
Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
Statements: Y > U ≥ Z ≥ K = X ≤ B ≤ A
Conclusions:
I. U = X
II. U > X
Directions: In each of the following questions assuming the given statement to be true, find which of the conclusions among given conclusions is/are definitely true and then give your answers accordingly.
Statement: S > L < P = T ≥ V > R
Conclusions:
I. P > R
II. S > V
In the question given, relations between different elements are shown in the statements. These statements are followed by two conclusions. Find out which of the given conclusions follow(s) the given statements and select the correct alternative from the given choices.
Statement:
L ≥ M = N < O, P < Q ≥ R = S ≥ L
Conclusion:
I. Q > M
II. N = Q
