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Question : A boat can move upstream at 25 km/hr and downstream at 35 km/hr. What is the speed of the current?
Option 1: 10 km/hr
Option 2: 15 km/hr
Option 3: 5 km/hr
Option 4: 22.5 km/hr
Correct Answer: 5 km/hr
Solution : Given: A boat goes at 35 km/hr downstream and at 25 km/hr upstream. Let the speed of the boat be $x$ km/hr and the speed of the current be $y$ km/hr. So, at downstream $x+y=35$ ---------(1) At upstream $x-y=25$ --------------(2) Solving both equations, we
Question : If $a=10$ and $b=3$, then what is the value of $\frac{(a+b)^2}{a^2-b^2}$?
Option 1: $\frac{182}{93}$
Option 2: $\frac{169}{91}$
Option 3: $\frac{185}{91}$
Option 4: $\frac{185}{93}$
Correct Answer: $\frac{169}{91}$
Solution : putting the value $a=10$ and $b=3$, we get, $\frac{(a+b)^2}{a^2-b^2}$ = $\frac{(10+3)^2}{10^2-3^2}$ = $\frac{13^2}{100-9}$ = $\frac{169}{91}$ Hence, the correct answer is $\frac{169}{91}$.
Question : Directions: A number has been denoted to each of the given letters. Select the option from the following four possible arrangements of these numbers that form a meaningful word. E = 1, N = 2, T = 3, S = 4, T = 5, D = 6, U = 7
Option 1: 4, 3, 7, 6, 1, 2, 5
Option 2: 2, 1, 4, 3, 6, 7, 5
Option 3: 4, 3, 7, 1, 6, 5, 2
Option 4: 2, 1, 4, 6, 3, 5, 7
Correct Answer: 4, 3, 7, 6, 1, 2, 5
Solution : Given: E = 1, N = 2, T = 3, S = 4, T = 5, D = 6, U = 7
Let's check the given options – First option: 4, 3, 7, 6, 1, 2, 5→STUDENT Second option:
Question : Chloroform can be used as
Option 1: Analgesic
Option 2: Anaesthetic
Option 3: Antimalarial
Option 4: Antibiotic
Correct Answer: Anaesthetic
Solution : The correct option is Anaesthetic.
In the mid-nineteenth century, chloroform was used as a general anaesthetic during surgical procedures, providing drowsiness and pain relief. However, due to major safety issues, such as the danger of overdose, toxicity, and deleterious effects on the central nervous system,
Question : What is the value of $\frac{39}{25} \div \frac{13}{5}+\frac{33}{5} \times \frac{4}{11} ?$
Option 1: 3
Option 2: 12
Option 3: 5
Option 4: 15
Correct Answer: 3
Solution : Given: $\frac{39}{25} \div \frac{13}{5}+\frac{33}{5} \times \frac{4}{11}$ = $\frac{39}{25} \times \frac{5}{13}+\frac{33}{5} \times \frac{4}{11}$ = $\frac{3}{5}+\frac{12}{5}$ = $\frac{3+12}{5}$ = $\frac{15}{5}$ = $3$ Hence, the correct answer is 3.
Question : Directions: In a certain coded language, hit ka tom is written as tie the shoes, ka lo fod is written as shoes of leather, and lo tin lot is written as leather and rexine. How is of written in this code language?
Option 1: fod
Option 2: ka
Option 3: lo or fod
Option 4: tin
Correct Answer: fod
Solution : Given: 1. hit ka tom⇒tie the shoes 2. ka lo fod⇒shoes of leather 3. lo tin lot⇒leather and rexine
By comparing all the three coded sentences, we find that – In sentences 1 and 2, shoes and ka are common. In sentences 2 and 3,
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing, the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : If $a+\frac{1}{a}=7$, then $a^5+\frac{1}{a^5}$ is equal to:
Option 1: 15127
Option 2: 13127
Option 3: 14527
Option 4: 11512
Correct Answer: 15127
Solution : Given: $a+\frac{1}{a}=7$----------------(1) Squaring both sides we get, ⇒ $a^2+\frac{1}{a^2}+2×a×\frac{1}{a}=49$ ⇒ $a^2+\frac{1}{a^2}=49-2=47$ ------------------(2) Now cubing equation 1 we get, ⇒ $a^3+\frac{1}{a^3}+3a×\frac{1}{a}(a+\frac{1}{a})=7^3$ ⇒ $a^3+\frac{1}{a^3}+3×7=343$ ⇒ $a^3+\frac{1}{a^3}=343-21=322$ ----------------(3) Multiplying equations 2 and 3 we get ⇒ $a^5+a+\frac{1}{a}+\frac{1}{a^5}=47×322$ ⇒ $a^5+\frac{1}{a^5}=47×322-(a+\frac{1}{a})$ ⇒ $a^5+\frac{1}{a^5}=47×322-7$ $\therefore a^5+\frac{1}{a^5}=15127$ Hence, the correct answer is
Question : Which of the following has revamped the E-Baal Nidan online portal in September 2022?
Option 1: UNICEF India
Option 2: National Commission for Protection of Child Rights
Option 3: NITI Aayog
Option 4: Ministry of women and child development
Correct Answer: National Commission for Protection of Child Rights
Solution : The correct answer is the National Commission for the Protection of Child Rights.
The E-Baal Nidan portal has been redesigned by the National Commission for Protection of Child Rights (NCPCR) with additional features to make it easier for complainants,
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 16
Option 2: 56
Option 3: 128
Option 4: 2
Correct Answer: 56
Solution : Let's check the options – First option: 16; 24 = 16; 16 can be expressed as a power of 2. Second option: 56; 56 cannot be expressed as a power of 2. Third option: 128; 27 = 128; 128 can be expressed as
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