Your Answer : (Not Answered)

Correct Answer : B

4 people can sit round a circular table in 3! ways.

In a circular arrangement, rotating everyone together gives the same seating, so one person's place is fixed and the rest are arranged relative to them.

\[ (n - 1)! = 3! = 6 \]

4! = 24 counts arrangements in a row, treating rotations as different. 4 and 1 undercount the arrangements.

For n people round a table where clockwise and anticlockwise orders count as the same, such as beads on a necklace, the count would be (n - 1)!/2.

Your Answer : (Not Answered)

Correct Answer : C

Work in rates: someone who finishes a job in \( n \) days does \( \tfrac{1}{n} \) of it a day, and rates add.

\[ \frac{1}{15} - \frac{1}{20} = \frac{4 - 3}{60} = \frac{1}{60} \]

\[ t = 60 \text{ minutes} \]

Your Answer : (Not Answered)

Correct Answer : C

Each term is the previous one divided by a falling even number.

\[ 46080 \xrightarrow{\div 12} 3840 \xrightarrow{\div 10} 384 \xrightarrow{\div 8} 48 \xrightarrow{\div 6} 8 \xrightarrow{\div 4} 2 \xrightarrow{\div 2} 1 \]

The fifth term should be \( 48 \div 6 = 8 \), not 24.

So 24 is the wrong number. Checking forwards from 8 confirms it: \( 8 \div 4 = 2 \) and \( 2 \div 2 = 1 \).

Your Answer : (Not Answered)

Correct Answer : B

Let AB be the tower and C and D the poles. AB = 70 m. 
In Δ ABC, cot 50º = BC/AB 
Or, cot (90º - 40º) = BC/70 
Or, tan 40º = BC/70 
Or, 0.8391 = BC/70 
Or, BC = 0.8391 × 70 = 58.74 m. 
In Δ ABD, cot 25º = BD/AB 
Or, cot (90º - 65º) = BD/70 
Or, tan 65º = BD/70 
Or, 2.114451 = BD/70 
Or, BD = 2.114451 × 70 = 148.01 m. 
Hence, distance between people = CD = BD - BC 
= 148.01 - 58.74 = 89.27 m.

Your Answer : (Not Answered)

Correct Answer : B

\[ 5^{4} = 625 \]

\[ 112 \times 625 = 112 \times \frac{10000}{16} = \frac{1{,}120{,}000}{16} = 70{,}000 \]

Writing 625 as \( \tfrac{10^{4}}{16} \) turns the multiplication into a division by 16.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: This item cannot be worked as recorded

Translating the code: \(@\) is “greater than”, \(\#\) is “greater than or equal to”, \(\%\) is “less than or equal to”, \(*\) is “equal to” and \(\$\) is “less than”. The third statement is incomplete in this record: it reads “CP” with the symbol between C and P missing, and conclusion II has lost its symbol in the same way. That matters, because the two surviving statements give only \( R \ge D \) and \( D > C \), so \( R > C \); nothing links either letter to P without the lost symbol. Restoring it does not rescue the keyed answer either. If the missing symbol is \(@\), \(\#\) or \(*\), then \( C \ge P \), which gives \( R > P \) - conclusion I - but it also gives \( D > P \), which is conclusion III, so the answer would be “I and III are true”. If instead it is \(\$\) or \(\%\), then \( C \le P \) and neither conclusion is determined, so the answer would be “None of these”. No restoration makes I true while III is false, so “only I is true” is unreachable. The item needs its original symbols before it can be answered.

Your Answer : (Not Answered)

Correct Answer : C

There are eight letters in the given word. in the first step the letters of the given word have been divided into two equal parts:
STAN and DING
In the second step, the letters each part have been written in the reverse order.
NATS and GIND
Similary,
Step I PROD and UCES
Step II DORP and SECU
 

Your Answer : (Not Answered)

Correct Answer : C

In terms of height, we have :
B < F, C < F, C < D, E < D, F < E, A < E, F < A.
So, C < F <  E < D, B < F, F < A < E
Thus, the sequence becomes :
B < C < F < A < E < D or C < B < F < A < E < D.
In terms of weight, we have :
A < B, A < C, B < D, D < F.
So, A < B < D < F, A < C.
Thus, the sequence becomes :
A < C < B < D < F or A < B < C < D < F or A < B < D < C < F.
Clearly, D is the tallest.

Your Answer : (Not Answered)

Correct Answer : D

The best inference is that the advertisement is not gender-discriminatory.

It asks for 'persons', and its only requirements are a high school pass and availability for day, evening and Saturday work. Nothing in it excludes or prefers either sex.

For the same reason 'gender-discriminatory' is unsupported. 'Xenophobic' would need some bar on foreigners or outsiders, and there is none. 'Not designed to make the post attractive' is contradicted by the advertisement itself, which offers paid transport and reimbursed expenses.

Your Answer : (Not Answered)

Correct Answer : B

Read the string E U V Y F S C B A B C W U E A X F I M D K T from the left and look at each vowel with the letter just before it. The first E has nothing before it, U follows E, which is a vowel, and so does not count. The A after B counts, because B is a consonant. The U after W counts. The E after U does not count, and the A after E does not count. The I after F counts. So three vowels are immediately preceded by a consonant, option (B). The counts 2, 4 and 5 miss one of them or include a vowel that follows another vowel.

Your Answer : (Not Answered)

Correct Answer : C

The missing letters are z y z x y.

Filling them in gives: yyzzx xxyyz zzxxy yyzzx. The series is made of blocks of five letters; each block has two of one letter, two of the next and one of the third, and each block starts with the letter its predecessor ended on: yyzzx, then xxyyz, then zzxxy, then yyzzx again.

Each of the other options breaks this pattern in at least one block; for instance x y z y x leaves the first block as yyzxx.

Your Answer : (Not Answered)

Correct Answer : B

N  X  N  T  Q  M  N  X  T  M  X  N  X  C  N  Q  M
N  N  X  Q  N  X  T  X  N  A  M  X  N  X  M

Your Answer : (Not Answered)

Correct Answer : A

Jallikattu is the traditional sport of Tamil Nadu.

Jallikattu is a bull-taming sport held during the Pongal harvest festival, in which participants try to hold on to the hump of a bull let loose into a crowd. It has repeatedly been in controversy over animal welfare: the Supreme Court banned it in 2014, mass protests in Chennai in 2017 led Tamil Nadu to amend the Prevention of Cruelty to Animals Act for the State, and challenges to that law continued.

Kerala, West Bengal and Karnataka are not where Jallikattu is held; Karnataka's comparable buffalo race is Kambala.

Your Answer : (Not Answered)

Correct Answer : A

It is the Cuban peso.

Cuba ran two currencies for a quarter century - the peso and the convertible peso for tourists and foreign trade - until unification in 2021 left the peso alone.

Your Answer : (Not Answered)

Correct Answer : D

The Legal Practitioners (Women) Act was enacted in 1923.

It declared that no woman shall be disqualified from being admitted as a legal practitioner by reason only of her sex - passed after Cornelia Sorabji and others had been refused enrolment.

Your Answer : (Not Answered)

Correct Answer : A

Lewis Edson Waterman invented it.

The insurance salesman patented a fountain pen with a capillary feed in 1884, after - by his own account - a leaking pen ruined a contract he was about to have signed. The feed let air in as ink flowed out, which stopped the blotting.

Your Answer : (Not Answered)

Correct Answer : A

Vijay Diwas is celebrated on 16 December.

Pakistan's eastern command surrendered at Dhaka on that date in 1971, ending the war and creating Bangladesh. About 93,000 prisoners were taken, the largest surrender since the Second World War.

Your Answer : (Not Answered)

Correct Answer : B

It is Cricket My Style.

Kapil Dev's book appeared in 1987, four years after he captained India to the World Cup at Lord's. He later wrote the autobiography Straight from the Heart.

Your Answer : (Not Answered)

Correct Answer : B

Dadabhai Naoroji propounded the drain theory.

He set it out in Poverty and Un-British Rule in India in 1901, arguing that Britain was extracting India's wealth through home charges, salaries and pensions paid abroad. He was also the first Indian elected to the British Parliament.

Your Answer : (Not Answered)

Correct Answer : A

It is a festival of the Tai-Ahom.

Me-Dam-Me-Phi is observed on 31 January in Assam as an offering to the ancestors, in the belief that the dead live on and can bless the living. The Ahoms ruled Assam for six centuries.