Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question, which of the answer figures is exactly the mirror image of the given figure when the mirror is held at XY?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line XY). So, the left side of the reflected image will appear as the right side and the right side will appear as the left side. However, the top and bottom of the reflected image will remain the same. Thus, the correct mirror image of the given figure will be –
Hence, the first option is correct.
Question : Which of the following sites is the largest protected wetland in India?
Option 1: Pulicat Lake
Option 2: Vembanad-Kol
Option 3: Upper Ganga River
Option 4: Sundarbans
Correct Answer: Sundarbans
Solution : The correct answer is Sundarbans.
A wetland is an area of land that is either covered by water or saturated with water. Sundarbans is the largest protected wetland in India. Sundarbans is a Mangrove area formed in the Bay of Bengal, and there are more than 70 wetlands in India. Chilika Lake in Odisha and Keoladeo National Park in Rajasthan were recognised as the first Ramsar sites in India.
Question : Directions: Select the option figure in which the given figure is embedded (Rotation is NOT allowed).
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : Directions: Select the related letter cluster from the given alternatives. GAYATRI : AAR :: PALLAVI : ?
Option 1: ALI
Option 2: AAL
Option 3: ALA
Option 4: ALV
Correct Answer: ALV
Solution : Given: GAYATRI : AAR :: PALLAVI : ?
If we take every other letter of the word GAYATRI, we get the sequence AAR. (GAYATRI) Thus, GAYATRI is coded as AAR. Similarly, if we take every other letter of the word PALLAVI, we get the sequence ALV. (PALLAVI)
Thus, PALLAVI is coded as ALV. Hence, the fourth option is correct.
Question : The value of $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ is:
Option 1: $\frac{35}{24}$
Option 2: $8$
Option 3: $\frac{15}{28}$
Option 4: $–2$
Correct Answer: $8$
Solution : Given: $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ $=\left(5 \div (2\right.\times\left.\frac{1}{2})\right)+\left( \frac{21}{4} \div (\frac{3}{7}\right.\times\left.\frac{1}{2})\right) \div\left( \frac{46}{9}-\frac{63}{8} \div \frac{189}{20}\right) \times \frac{11}{21}$ $=5+\left( \frac{21}{4} \div \frac{3}{14}\right.) \div\left( \frac{46}{9}-\frac{63}{8} \times \frac{20}{189}\right) \times \frac{11}{21}$ $=5+\left( \frac{21}{4} \times \frac{14}{3}\right.) \div\left( \frac{46}{9}-\frac{5}{6} \right) \times \frac{11}{21}$ $=5+\frac{49}{2} \div \frac{92-15}{18} \times \frac{11}{21}$ $=5+\frac{49}{2} \times \frac{18}{77} \times \frac{11}{21}$ $=5+3$ $=8$ Hence, the correct answer is $8$.
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 – E = 4; O – I = 6; The difference between the letters follows the increasing order of the even numbers. Third option: LNQW; N – L = 2; Q – N = 3; W – Q = 6; The difference between the letters does not follow the increasing order of the even numbers. Fourth option: PRVB; R – P = 2; V – R = 4; B – V = 6; The difference between the letters follows the increasing order of the even numbers.
So, LNQW is different from the other three. Hence, the third option is correct.
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 and 3, she and 9 are common. In statements 2 and 3, curious and 7 are common. The remaining word and code in sentence 1 are working and 5; in sentence 2 are I and 6; in sentence 3 are is and 8.
So, she will be coded as 9. Hence, the first option is correct.
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, \(In \triangle ABC\) \(\tan\theta = \frac{P}{B}\) \(\tan45 ^{\circ} =\frac{AB}{BC}\) \(1=\frac{AB}{BC}=AB:BC=1:1\) \(In\ \triangle ABD,\) ⇒ \(\tan30 ^{\circ} =\frac{AB}{BD}\) ⇒ \(\frac{1}{\sqrt{3}}=\frac{AB}{BD}\Rightarrow AB:BD=1:\sqrt{3}\) Now, \(CD = BD - BC\) ⇒ \(CD \Rightarrow \sqrt{3}-1\) $AB$ = 1 unit = 300 metre So, $CD=(\sqrt{3}-1)$ units = $300(\sqrt{3}-1)$ metres Hence, the correct answer is $300(\sqrt3 - 1)$ m.
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 + 96 = Rs. 1052 Hence, the correct answer is Rs. 1052.
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 B is Y; the opposite letter of F is U; and the opposite letter of X is C. Third option: PHJ – KSQ; The opposite letter of P is K; the opposite letter of H is S; and the opposite letter of J is Q. Fourth option: RTV – IGE; The opposite letter of R is I; the opposite letter of T is G; and the opposite letter of V is E.
Therefore, the first option is different from the others as it does not have opposite letters. Hence, the first option is correct.
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