Staff Selection Commission Sub Inspector Exam
Question : Let $\triangle {ABC} \sim \triangle {RPQ}$ and $\frac{\operatorname{ar}(\triangle A B C)}{\operatorname{ar}(\triangle P Q R)}=\frac{4}{9}$. If ${AB}=3 {~cm}, {BC}=4 {~cm}$ and ${AC}=5 {~cm}$, then ${PQ}$ (in ${cm}$ ) is equal to:
Option 1: 12
Option 2: 4.5
Option 3: 5
Option 4: 6
Correct Answer: 6
Solution : $\triangle$ ABC ∼ $\triangle$ RPQ $\frac{\operatorname{ar}(\triangle A B C)}{\operatorname{ar}(\triangle P Q R)}=\frac{4}{9}$ AB = 3 cm BC = 4 cm AC = 5 cm Concept used: $\triangle$ ABC ∼ $\triangle$ RPQ $\frac{\text{AB}}{\text{RP}} = \frac{\text{BC}}{\text{PQ}} = \frac{\text{AC}}{\text{QR}} = \sqrt{\frac{ar(\text{ABC})}{ar(\text{RPQ})}}$ $\frac{\text{AB}}{\text{RP}} = \sqrt{\frac{4}{9}}$ Calculation: $\frac{\text{AB}}{\text{RP}} = \frac{\text{BC}}{\text{PQ}}=
Question : A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, and then B left the work. In how many days will A alone complete 60% of the remaining work?
Option 1: 10
Option 2: 15
Option 3: 8
Option 4: 7
Correct Answer: 7
Solution : Given, A completes the work in 35 days. B completes the work in 15 days. A's 1 day's work $=\frac{1}{35}$ B's 1 day's work $=\frac{1}{15}$ So, (A + B)'s 1 day's work = $\frac{1}{35}+\frac{1}{15}=\frac{7 + 3}{105}=\frac{2}{21}$ ⇒ Work completed by A + B in 7
Question : If A is 48% more than B and C is 60% less than the sum of A and B, then A is what percentage more than C? (Correct to one decimal place.)
Option 1: 50.8
Option 2: 49.2
Option 3: 50.2
Option 4: 49.8
Correct Answer: 49.2
Solution : Given: A is 48% more than B and C is 60% less than the sum of A and B. Let the value of B be 100. Then, the value of A = $100\times \frac{148}{100}$ = 148 According to the question, C = 40% of (A
Question : The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table.
P
Q
R
S
T
U
70
90
85
75
65
60
44
40
32
50
88
54
58
45
92
64
80
72
55
25
38
30
35
42
48
The total marks obtained by student Q in Physics and Hindi are what percentage (rounded off to the nearest integer) more than the total marks obtained by student T in Geography and History?
Option 1: 45%
Option 2: 49%
Option 3: 56%
Option 4: 38%
Correct Answer: 45%
Solution : The total marks obtained by student Q in Physics and Hindi: In Physics, student Q scored 90% of 80 marks = 0.9 × 80 = 72 marks In Hindi, student Q scored 54% of 100 marks = 0.54 × 100 = 54 marks So, the
Question : Directions: In the following question, the number of letters skipped in between adjacent letters in the series increased by one. Which of the following series observe the rule?
Option 1: KORYBGJ
Option 2: LMEYTPK
Option 3: KMPTYEL
Option 4: KPTYELM
Correct Answer: KMPTYEL
Solution : Let's check the options –
First option: KORYBGJ; K + 4 = O; O + 3 = R; R + 7 = Y; Y + 3 = B; B + 5 = G; G + 3 = J Second option: LMEYTPK; L + 1 =
Question : Select the most appropriate meaning of the given idiom. A lot on one’s plate
Option 1: To eat a lot
Option 2: A lot to do
Option 3: To have a serious ailment
Option 4: To serve all dishes on one plate
Correct Answer: A lot to do
Solution : The second option is correct.
The idiom a lot on one’s plate is a metaphorical expression that conveys the idea of having a busy or demanding schedule with many tasks or responsibilities, similar to having a lot of food on a plate.
Question : Find the HCF of 240, 280, and 560.
Option 1: 30
Option 2: 10
Option 3: 20
Option 4: 40
Correct Answer: 40
Solution : Given numbers: 240, 280 and 560 240 = 2 × 2 × 2 × 2 × 3 × 5 280 = 2 × 2 × 2 × 5 × 7 560 = 2 × 2 × 2 × 2 × 5 × 7 ⇒ HCF
Question : Select the option that can be used as a one-word substitute for the given group of words. An animal or a person that eats all types of food, especially plants and meat
Option 1: Vegetarian
Option 2: Herbivore
Option 3: Omnivore
Option 4: Carnivore
Correct Answer: Omnivore
Solution : The third option is the correct choice.
An omnivore is an organism (animal or person) that has a diet comprising both plant and animal matter. In the given group of words, the description specifies an entity that eats all types of food, especially plants and
Question : Concerning the classification of algae, the members of Phaeophyceae are commonly called:
Option 1: Green algae
Option 2: White algae
Option 3: Brown algae
Option 4: Red algae
Correct Answer: Brown algae
Solution : The correct answer is Brown algae.
Brown algae belong to the Phaeophyceae family of algae. Phaeophyceae members possess the pigment fucoxanthin. Their colour varies from olive green to different shades of brown as a result of their presence. They are known as brown algae
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Ankit cannot (1) / succeed because (2) / he labours hard. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
There is an error in the use of the conjunction in the sentence. The word "because" should be replaced with "unless" to convey the intended meaning that Ankit won't succeed if he doesn't put in
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