Staff Selection Commission Sub Inspector Exam
Question : There are 50 students in a class with an average weight of 45 kg. When one student leaves the class, the average weight reduces by 100 g. What is the weight of the student who left the class?
Option 1: 45 kg
Option 2: 47.9 kg
Option 3: 49.9 kg
Option 4: 50.1 kg
Correct Answer: 49.9 kg
Solution : The total weight of 50 students, average weighing 45 kg = 50 × 45 = 2250 kg The sum of the weight of 49 students, average weighing 44.9 kg = 49 × 44.9 = 2200.1 kg Thus, the weight of the student who left
Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 5 * 5 * 5 * 3 * 10
Option 1: ×, +, =, ×
Option 2: +, –, ×, =
Option 3: +, ÷, =, ×
Option 4: +, ÷, ×, =
Correct Answer: ×, +, =, ×
Solution : Given: 5 * 5 * 5 * 3 * 10
Let's check the options – First option: ×, +, =, × 5 × 5 + 5 = 3 × 10 Solving L.H.S. of the equation, ⇒ 5 × 5 + 5 ⇒
Question : Directions: Diogo’s house faces west. He steps out of his house and walks 22 m straight. He then turns to his left and walks 20 m. He takes another left turn and walks 25 m. Finally, he turns left once again and walks further for 24 m to reach his school. How far is the school from his house and in which direction respect to his house?
Option 1: 5 m due north-east
Option 2: 7 m due north-east
Option 3: 5 m due north-west
Option 4: 25 m due south-east
Correct Answer: 5 m due north-east
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, O is the starting point (Diogo's house), and D is the endpoint (Diogo's school). AB = 20 m; BC = 25 m; CD = 24 m; OA = 22
Question : Earth Summit (Save Earth) was sponsored by:
Option 1: UNESCO
Option 2: UNCED
Option 3: WHO
Option 4: UNICEF
Correct Answer: UNCED
Solution : The correct option is UNCED.
The Earth Summit, also known as the United Nations Conference on Environment and Development (UNCED), was sponsored by the United Nations, and took place in Rio de Janeiro, Brazil, in 1992. It was a major international conference focused on
Question : One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm2)?
Option 1: 60
Option 2: 90
Option 3: 30
Option 4: 120
Correct Answer: 120
Solution : Side of a rhombus, $a$ = 13 cm Diagonal, $d_1$ = 10 cm Let $d_2$ be the second diagonal. So, $(\frac{d_1}{2})^2 + (\frac{d_2}{2})^2 = a^2$ ⇒ $(\frac{10}{2})^2 + (\frac{d_2}{2})^2 = 13^2$ ⇒ $(\frac{d_2}{2})^2 = 169-25 = 144$ ⇒ $(\frac{d_2}{2}) = \sqrt{144}$ ⇒ $d_2 = 12
Question : Select the misspelt word.
Option 1: explotion
Option 2: carriage
Option 3: descent
Option 4: cautious
Correct Answer: explotion
Solution : The correct choice is the first option.
The incorrectly spelt word is "explotion", which contains a wrong consonant "t" in place of "s". Explosion is the correct spelling, and it means a sudden, violent burst, often with a noise.
Other words are correctly spelt,
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series to make it logically complete? JPG, FLC, BHY, XDU, ?
Option 1: SQZ
Option 2: TQZ
Option 3: TZQ
Option 4: SZQ
Correct Answer: TZQ
Solution : Given: JPG, FLC, BHY, XDU, ?
In the above-given series, subtract 4 from the place value of each letter of the given letter clusters. JPG→J(10) – 4 = F; P(16) – 4 = L; G(7) – 4 = C FLC→F(6) – 4 = B; L(12)
Question : If $a+b=2c$, then find $\frac{a}{a–c}+\frac{c}{b–c}$:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –1
Correct Answer: 1
Solution : Given: $a+b=2c$ ⇒ $a-c=c-b$ Putting this value in the expression $\frac{a}{a–c}+\frac{c}{b–c}$, we have, $=\frac{a}{a–c}+\frac{c}{b–c}$ $=\frac{a}{a–c}-\frac{c}{a–c}$ $[\because b-c=–(a-c)]$ $=\frac{a–c}{a–c}=1$ Hence, the correct answer is 1.
Question : Directions: A man starts from a point, moves 9 km south, then turns east and goes 3 km. He turns south and walks 3 km, and then moves 8 km towards the west. How far is he from the starting point?
Option 1: 15 km
Option 2: 12 km
Option 3: 11 km
Option 4: 13 km
Correct Answer: 13 km
Solution : Firstly, we will draw the diagram as per the given instructions in the question.
In the above figure, O is the starting point and D is the finishing point. So, OD is the distance from the starting point. OD can be found using Pythagoras
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (25, 3, 150); (13, 7, 182)
Option 1: (5, 8, 184)
Option 2: (6, 13, 234)
Option 3: (10, 5, 100)
Option 4: (3, 4, 45)
Correct Answer: (10, 5, 100)
Solution : Given: (25, 3, 150); (13, 7, 182)
Like, (25, 3, 150)→25 × 3 × 2 = 150 (13, 7, 182)→13 × 7 × 2 = 182
Let's check the options – First option: (5, 8, 184)→5 × 8 × 2 = 80 ≠
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
