Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: EGKQ
Option 2: CEIO
Option 3: LNQW
Option 4: PRVB
Correct Answer: LNQW
Solution : Let's check each option –
First option: EGKQ; G – E = 2; K – G = 4; Q – K = 6; The difference between the letters follows the increasing order of the even numbers. Second option: CEIO; E – C = 2; I
Question : Directions: In a code language, if she was working is written as 592, I was curious is written as 267, and she is curious is written as 987, then what will be the code for the word she in this language?
Option 1: 9
Option 2: 5
Option 3: 8
Option 4: 2
Correct Answer: 9
Solution : Given: 1. She was working is written as 592 2. I was curious is written as 267 3. She is curious is written as 987
By comparing, all three coded sentences – In sentences 1 and 2, was and 2 are common. In sentences 1
Question : From the peak of a hill 300 m high, the angle of depression of two sides of a bridge lying on the ground are $45°$ and $30°$ (both ends of the bridge are on the same side of the hill). Then the length of the bridge is:
Option 1: $300(\sqrt3 - 1)$ m
Option 2: $300(\sqrt3 + 1)$ m
Option 3: $300\sqrt3$ m
Option 4: $\frac{300}{\sqrt3}$ m
Correct Answer: $300(\sqrt3 - 1)$ m
Solution : $AB$ = height of peak = 300 m $CD$ = length of Bridge We are given the angle of depression, i.e., $\angle EAC = 45°$ and $\angle EAD = 30°$ ⇒ $\angle ACB = 45°$ and $\angle ADB = 30°$ Now, \(In
Question : A sum of Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will the same sum become in 3 years?
Option 1: Rs. 1025
Option 2: Rs. 1042
Option 3: Rs. 1052
Option 4: Rs. 1024
Correct Answer: Rs. 1052
Solution : Given: Principal = Rs. 800, Amount = Rs. 956, and Time = 3 years Rate of interest, $R$ = 4% for extra interest Use the formula below. Extra Simple Interest = $\frac{\text{Principle×Rate×Time}}{100}$ = $\frac{800×3×4}{100}$ = Rs. 96 So, the total amount received = 956
Question : Directions: Three of the following four pairs of letter clusters are alike in a certain way and one is different. Select the odd one.
Option 1: OPR – JKL
Option 2: BFX – YUC
Option 3: PHJ – KSQ
Option 4: RTV – IGE
Correct Answer: OPR – JKL
Solution : Let's check each option – First option: OPR – JKL; The opposite letter of O is not J; the opposite letter of P is K; and the opposite letter of R is not L. Second option: BFX – YUC; The opposite letter of
Question : The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8, then what is its area in m2?
Option 1: 0.032
Option 2: 0.056
Option 3: 0.016
Option 4: 0.32
Correct Answer: 0.016
Solution : Given: The two parallel sides of a trapezium are 27 cm and 13 cm respectively. Height = 8 cm $\therefore$ Area of the trapezium = $\frac{1}{2}\times$ sum of parallel sides × distance between parallel side = $\frac{1}{2}\times (27 + 13) \times 8$ = $\frac{1}{2}\times 40
Question : Asha and Suman's mud forts have 9 cm and 16 cm heights. If the fort tops are 25 cm apart from each other, then the distance (in cm) between the two forts is:
Option 1: 24
Option 2: 16
Option 3: 25
Option 4: 7
Correct Answer: 24
Solution : Let the distance the fort CD be $x$. (Hypotenuse)2 = (Base)2 + (Perpendicular)2 ⇒ 252 = (Base)2 + (16 – 9)2 ⇒ (Base)2 = 625 – 49 = 576 ⇒ Base = 24 cm So, the distance between
Question : Select the most appropriate synonym of the given word. JUST
Option 1: courtly
Option 2: fair
Option 3: favouring
Option 4: partial
Correct Answer: fair
Solution : The correct choice is the second option.
Explanation: "Just" refers to fairness, impartiality, or being in accordance with what is morally right or lawful. Among the options provided, "fair" aligns most closely with this meaning. It signifies treating everyone equally and without bias, just like
Question : Which of the following numbers is not a factor of $5^p7^q,(p\neq 0,q\neq 0)$?
Option 1: 35
Option 2: 175
Option 3: 1225
Option 4: 735
Correct Answer: 735
Solution : Checking the factors of all the options for divisibility by 5 and 7. 35 = 5 × 7 175 = 5 × 5 × 7 1225 = 5 × 5 × 7 × 7 735 = 5 × 7 × 7 × 3 735 has
Question : Directions: the following pie chart shows the export of automobiles from India to the 10 countries given below in 2014. The 10 countries imported 47.8% of the total exports of India. Observe the chart given below and answer the following question. The number of automobiles exported to the U.S.A. is equal to combined exports to which two countries?
Option 1: Sri Lanka and Turkey
Option 2: Sri Lanka and Bangladesh
Option 3: Mexico and UAE
Option 4: UK and Turkey
Correct Answer: UK and Turkey
Solution : According to given pie chart in question, Percentage of exports to the United States = 8.40% Percentage of exports to United Kingdom and Turkey = (4.4 + 4)% = 8.4% Hence, the correct answer is the UK and Turkey.
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