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Question : A man buys 13 pens for a rupee. How many pens should he sell for a rupee to earn a profit of 30%?
Option 1: 8
Option 2: 10
Option 3: 5
Option 4: 15
Correct Answer: 10
Solution : A man buys 13 pens for a rupee. 1 rupee = 100 paise For a profit of 30%, he sells 13 pens in 100 + 30 = 130 paise So, in 100 paise, the number of pens he sells $=\frac{13}{130}×100=10$ Hence, the correct answer is
Question : Directions: In the following question a series is given, with one number missing. select the missing number from the given alternatives. 84, 42, 28, 21, ?
Option 1: 10.5
Option 2: 16.8
Option 3: 18.4
Option 4: 19.6
Correct Answer: 16.8
Solution : Given: 84, 42, 28, 21, ?
Let's apply the pattern – 84 ÷ (1 + $\frac{1}{1}$) = 42; 42 ÷ (1 + $\frac{1}{2}$) = 28; 28 ÷ (1 + $\frac{1}{3}$) = 21; 21 ÷ (1 + $\frac{1}{4}$) = 16.8
So, 16.8 is the missing term
Question : The value of $\tan1° \tan2° \tan3°...\tan89°$ is:
Option 1: $1$
Option 2: $0$
Option 3: $\sqrt{3}$
Option 4: $\frac{1}{\sqrt{3}}$
Correct Answer: $1$
Solution : $\tan1° \tan2° \tan3°...\tan89°$ $= \tan1° \tan2° \tan3°...\tan45°...\tan(90-3)°\tan(90-2)°\tan(90-1)°$ $=\tan1° \tan2° \tan3°...\tan45°...\cot3°\cot2°\cot1°$ As we know, $\tan\theta=\frac{1}{\cot\theta}$ So, it will cancel out all the terms except $\tan45°$. $=\tan45°$ $= 1$ Hence, the correct answer is $1$.
Question : Directions: If P denotes ×, Q denotes ÷, R denotes +, and S denotes –, then what will come in place of (?) in the following equation? $\sqrt[4]{81}$ R 6 P 3 S 26 R 64 = ?
Option 1: 63
Option 2: 65
Option 3: 56
Option 4: 59
Correct Answer: 59
Solution : Given: $\sqrt[4]{81}$ R 6 P 3 S 26 R 64 = ?
After replacing the letters with the mathematical signs, we get: = $\sqrt[4]{81}$ + 6 × 3 – 26 + 64 = 3 + 6 × 3 – 26 + 64 = 3 +
Question : Which of the following diseases has been eradicated worldwide?
Option 1: Plague
Option 2: Dracunculiasis
Option 3: Chickenpox
Option 4: Smallpox
Correct Answer: Smallpox
Solution : The correct answer is Smallpox.
Smallpox is a deadly and highly contagious viral disease, caused by the Variola virus and now it is successfully eradicated worldwide, the last known case of smallpox was recorded in 1977 in Ethiopia and it was declared to be
Question : 'Galpaguchchha', written by Rabindranath Tagore, is a collection of_______.
Option 1: devotional songs
Option 2: poems
Option 3: english shayaris
Option 4: short stories
Correct Answer: short stories
Solution : The correct option is short stories.
Galpaguchchha is a collection of sixty-one of Rabindranath Tagore's short stories. These short stories are broadly grouped under the themes of parting ways and the relationship between men and women.
Question : Who invented the first-ever safety elevator?
Option 1: Bill Gates
Option 2: Elisha Otis
Option 3: Paul Allen
Option 4: Dave Hyatt
Correct Answer: Elisha Otis
Solution : The correct option is Elisha Otis.
American Elisha Otis is credited with developing the safety elevator. In the New York City store of E. V. Haughwout & Co., he installed the first safety elevator for passenger use on March 23, 1857. He patented
Question : What sum will become INR 9,826 in 18 months if the rate of interest is $2 \frac{1}{2} \%$ per annum and the interest is compounded half-yearly?
Option 1: INR 9,392.00
Option 2: INR 9,444.00
Option 3: INR 9,512.45
Option 4: INR 9,466.55
Correct Answer: INR 9,466.55
Solution : Let the required sum i.e. the principal, be INR P. We have, Principal = P, Amount = INR 9826, R = $2\frac{1}{2}$% per annum and n = 18 months = $\frac{18}{12}$ years = $\frac{3}{2}$ years $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒ 9826 = P(1+\frac{\frac{5}{2}}{200})^{3}$ $⇒9826=P(1+\frac{1}{80})^3$ $⇒9826=P(\frac{81}{80})^3$ $\therefore
Question : Which of the following is a transfer payment? (a) Unemployment allowances (b) Scholarships (c) Retirement pension
Option 1: Only (a)
Option 2: All of the above
Option 3: Only (a) and (b)
Option 4: Only (c)
Correct Answer: All of the above
Solution : The correct option is All of the above.
Transfer payments are typically made to redistribute income, provide assistance, or support specific groups in the population.
Unemployment allowances involve providing financial assistance to unemployed individuals, and they don't involve a direct exchange
Question : Directions: In a code language, if my personal use is written as 521, use these things is written as 169, and personal things are written as 29, then which phrase would code 569 represent in this language?
Option 1: my personal things
Option 2: my these things
Option 3: these personal things
Option 4: my personal use
Correct Answer: my these things
Solution : Given: 1. my personal use⇒521 2. use these things⇒169 3. personal things⇒29
By comparing all the above–coded sentences, we find that – In sentences 1 and 2, use is a common word and 1 is a common code. In sentences 2 and 3,
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