Consider the following pattern of numbers:
What is the number at? In the above pattern?
UPSC - 2018
To solve this pattern, we need to identify the rule governing the sequence of numbers. The diagram shows a set of numbers arranged in rows and columns, with the bottom row being the result of calculations involving the numbers above.
Thus, the missing number in the pattern is 17.
Correct Option: A) 17
In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are there which are not immediately preceded by 3 but immediately followed by 7?
UPSC - 2019
The problem asks us to identify the number of '5's in a given sequence that satisfy two conditions simultaneously: they must not be immediately preceded by '3' AND they must be immediately followed by '7'. We will scan the sequence and check each occurrence of '5' against these conditions.
Correct Option: A) 1
If the alphabet is written in the reverse order and every alternate letter starting with Y is dropped which letter will be exactly in the middle of the remaining letters of the alphabet?
UPSC - 2022
To solve this problem, we need to follow the given instructions step-by-step: first, write the alphabet in reverse order; second, drop every alternate letter starting with 'Y'; and finally, identify the middle letter of the remaining sequence.
Therefore, the letter exactly in the middle of the remaining letters is N.
Correct Option: D) N
Images of consonants of the English alphabet (Capitals) are observed in a mirror. What is the number of images of the which do not look like their original shapes?
UPSC - 2021
The problem asks us to identify the number of English alphabet consonants (capital letters) whose mirror images do not look like their original shapes. This involves checking the mirror image of each capital consonant and comparing it to its original form.
B) 14 — As calculated in the step-by-step explanation, there are 14 consonants whose mirror images do not resemble their original shapes. These are B, C, D, F, G, J, K, L, N, P, Q, R, S, Z.
Consider the following sequence of numbers:
5 1 4 7 3 9 8 5 7 2 6 3 1 8 6 3 8 5 2 2 4 3 4 9 6
How many odd numbers are followed by the odd number in the above sequence?
UPSC - 2020
The problem asks us to identify the number of instances where an odd number is immediately followed by another odd number in the given sequence. We need to scan the sequence from left to right, checking pairs of adjacent numbers.
A) There are 5 instances where an odd number is followed by another odd number in the sequence: (5,1), (7,3), (3,9), (5,7), and (3,1).
Four persons A, B, C and D consisting of two married couples are in a group. Both the women are shorter than their respective husbands. A is the tallest among the four. C is taller than B. D is B's brother. In this context, which one of the following statements is not correct?
UPSC - 2015
All four have family ties.
B is the shortest among the four.
C is taller than D.
A is B's husband.
We need to deduce the relationships and relative heights of the four persons (A, B, C, D) based on the given clues. We will then evaluate each statement to find the one that is not correct.
Let's combine the height information:
From D is B's brother, B and D are of the same generation. Since there are two married couples, B and D cannot be married to each other. Also, A is the tallest, so A must be a husband. Since D is B's brother, D cannot be B's husband. If B is a woman, her husband must be taller than her.
Let's consider the possible couples:
Case 1: B is a woman.
So, the relationships are:
And the height order is: A > D > C > B.
A) All four have family ties. Yes, A and B are married, C and D are married, and B and D are siblings. So, they all have family ties. This statement is correct.
B) B is the shortest among the four. From our deduced height order (A > D > C > B), B is indeed the shortest. This statement is correct.
C) C is taller than D. From our deduced height order (A > D > C > B), D is taller than C (D > C). Therefore, this statement is incorrect.
D) A is B's husband. As deduced, A and B form a couple where A is the husband (tallest) and B is the wife (shorter). This statement is correct.
The question asks for the statement that is not correct.
Correct Option: C) C is taller than D.
