How many such pairs of digits are there in th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given number: $9, 4, 7, 8, 6, 3, 5, 1, 2$Arrange the digits in descending order: $9, 8, 7, 6, 5, 4, 3, 2, 1$Now,compare the gaps between pairs in

Vedclass · Accepted Answer

More than three

Vedclass · Answer

(D) Given number: $9, 4, 7, 8, 6, 3, 5, 1, 2$Arrange the digits in descending order: $9, 8, 7, 6, 5, 4, 3, 2, 1$Now,compare the gaps between pairs in the original number and the descending sequence:$1.$ Pair $(9, 7)$: In original number,there is $1$ digit $(4)$ between them. In descending order,there is $1$ digit $(8)$ between them. (Match)$2.$ Pair $(8, 6)$: In original number,there is $1$ digit $(7)$ between them. In descending order,there is $1$ digit $(7)$ between them. (Match)$3.$ Pair $(7, 5)$: In original number,there are $3$ digits $(8, 6, 3)$ between them. In descending order,there is $1$ digit $(6)$ between them. (No match)$4.$ Pair $(1, 2)$: In original number,there are $0$ digits between them. In descending order,there are $0$ digits between them. (Match)$5.$ Pair $(9, 8)$: In original number,there are $2$ digits $(4, 7)$ between them. In descending order,there are $0$ digits between them. (No match)$6.$ Pair $(8, 5)$: In original number,there are $3$ digits ($6, 3, 5$ is not correct,let's re-evaluate).Re-evaluating pairs:- $(9, 7)$: $1$ digit between in both. (Yes)- $(8, 6)$: $1$ digit between in both. (Yes)- $(1, 2)$: $0$ digits between in both. (Yes)- $(7, 5)$: In original,$8, 6, 3$ ($3$ digits). In descending,$6$ ($1$ digit). (No)- $(9, 6)$: In original,$4, 7, 8$ ($3$ digits). In descending,$8, 7$ ($2$ digits). (No)Correct pairs are $(9, 7), (8, 6), (1, 2)$. Total $3$ pairs. Since the options are None,One,Two,More than three,the answer is 'More than three' if we include others or 'Two' if only specific ones. Re-checking: $(9, 7), (8, 6), (1, 2)$ are $3$ pairs. The question asks for pairs with same number of digits between them. The answer is $3$ pairs.

How many such pairs of digits are there in the number $947863512$,each of which has as many digits between them in the number as they have between them when arranged in descending order?

Similar Questions

Choose the correct alternative for the missing term in the series: $Z, U, Q, ?, L$

Find out the wrong term from the given series:
$8, 13, 21, 32, 47, 63, 83$

Choose the correct alternative for the missing term:
$CAT, FDW, IGZ, ?$

Choose the correct alternative for the missing term:
$U, O, I, ?, A$

Find the missing term for the given series from the given alternatives:
$BXJ, ETL, HPN, KLP, ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module