Staff Selection Commission Sub Inspector Exam
Question : A loan of Rs. 12300 at 5% per annum Compound Interest be repaid in two equal annual instalments at the end of every year. Find the amount of each instalment.
Option 1: Rs. 6651
Option 2: Rs. 6615
Option 3: Rs. 6516
Option 4: Rs. 6156
Correct Answer: Rs. 6615
Solution : Let the instalment value be Rs. $P$. According to the concept, $\frac{x}{(1+\frac{R}{100})} +\frac{x}{(1+\frac{R}{100})^2} +...........+\frac{x}{(1+\frac{R}{100})^n} =A$ where $x$ is the instalment value, 'A' is the total amount that was created in instalments and n is the number of instalments. $P(1+\frac{5}{100})+P=12300(1+\frac{5}{100})^{2}$ ⇒ $1.05P+P=12300×\frac{21}{20}×\frac{21}{20}$ ⇒ $2.05P=13560.75$ ⇒
Question : A grocer sells rice at 10% profit and uses weights which are 20% less than the market weight. The total gain percentage earned by him is:
Option 1: $33 \frac{1}{3}$%
Option 2: $20$%
Option 3: $40$%
Option 4: $37.5$%
Correct Answer: $37.5$%
Solution : A grocer sells rice at 10% profit. Let the cost price of the rice be 100. Selling price = 100 + 10 = 110 He uses weights that are 20% less than the market weight. Original cost of that rice = 100 – 20 =
Question : Which among the following is the longest river of Peninsular India?
Option 1: Luni
Option 2: Narmada
Option 3: Krishna
Option 4: Godavari
Correct Answer: Godavari
Solution : The correct answer is Godavari
The Dakshin Ganga is another name for the River Godavari. The Godavari River spans 1500 kilometres. Godavari River rises in the Nasik district of Maharashtra, on the Western Ghats' foothills. With flowing into the Bay of Bengal, the Godavari River
Question : Parts of the following sentence have been underlined and given as options. Select the option that contains an error. Have they been work in that particular shop for several years?
Option 1: work
Option 2: been
Option 3: for
Option 4: Have
Correct Answer: work
Solution : The first option is the correct choice.
Explanation: The correct sentence uses the present participle form "working" after the auxiliary verb "have." When forming the present perfect continuous tense, we use "have/has been" followed by the present participle (verb + ing). In this
Question : If $\tan 45^{\circ}+\sec 60^{\circ}=x$, find the value of $x$.
Option 1: 1
Option 2: 4
Option 3: 3
Option 4: 2
Correct Answer: 3
Solution : Given: $\tan 45^{\circ}+\sec 60^{\circ}=x$ ⇒ $1+2=x$ $\therefore x=3$ Hence, the correct answer is 3.
Question : A sum of Rs. 2420 is accumulated in 2 years at 10% Compound Interest on a certain amount. Then the original amount is:
Option 1: Rs. 1000
Option 2: Rs. 2000
Option 3: Rs. 1500
Option 4: Rs. 2500
Correct Answer: Rs. 2000
Solution : Total amount = Rs. 2420 Rate, $R$ = 10% Time, $n$ = 2 Let $P$ be the sum. Total amount = $P(1+\frac{R}{100})^{n}$ where $P$ is principal, $R$ is the rate of interest per annum compounded annually and $n$ is time in years. ⇒ 2420
Question : The wire of flashbulbs is made up of
Option 1: Magnesium
Option 2: Barium
Option 3: Copper
Option 4: Silver
Correct Answer: Magnesium
Solution : The correct option is Magnesium.
The wire in flash bulbs is made of magnesium (Mg). When an electric current passes through the magnesium wire, it rapidly oxidizes, producing an intense burst of light. This combustion reaction is highly exothermic and provides the brief and intense
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
He is a weak student and somehow pulled over the exams.
Option 1: pulled through
Option 2: pulled down
Option 3: pulled up
Option 4: pulled together
Correct Answer: pulled through
Solution : The correct choice is the second option.
The phrase pulled through is used to express successfully overcoming a difficult situation, which fits the context of exams. It conveys the idea that, despite being a weak student, the person managed to succeed or pass the
Question : Pipes A, B and C can fill a tank in 10, 15 and 30 hours, respectively. D is an emptying pipe which alone can empty the full tank in $x$ hours. A, B and C are opened together for 3 hours and then closed. Now D is opened which alone empties the tank in 30 hours. What is the value of $x$?
Option 1: 50
Option 2: 40
Option 3: 60
Option 4: 45
Correct Answer: 50
Solution : Let the capacity of the tank as $V$. The rates at which pipes A, B, and C fill the tank are $\frac{V}{10}$, $\frac{V}{15}$, and $\frac{V}{30}$ units per hour, respectively. The rate at which pipe D empties the tank is $\frac{V}{x}$ units per hour. In the
Question : Directions: The histogram shows the marks obtained by 45 students of a class. look at the histogram and answer the questions. How many students have obtained 30 or more marks but than less 40?
Option 1: 3
Option 3: 5
Option 4: 6
Solution : From the histogram provided, The students who obtained 30 or more marks but than less 40 are the students who are in the class interval 30 – 40 = 3 Hence, the correct answer is 3.
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