Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option in which the given figure is embedded. (Rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Question : Directions: In the following question, select the related number from the given alternatives. 103 : 10609 :: 106 : ?
Option 1: 10606
Option 2: 10306
Option 3: 11236
Option 4: 13636
Correct Answer: 11236
Solution : Given: 103 : 10609 :: 106 : ?
1032 = 10609 (10609 is the square of 103) Similarly, 1062 = 11236 (11236 is the square of 106)
Hence, the third option is correct.
Question : People of ______ have hardly any idea of extremes of temperature and the seasonal rhythm of weather.
Option 1: Indore
Option 2: Mumbai
Option 3: Jaisalmer
Option 4: Lucknow
Correct Answer: Mumbai
Solution : The correct option is Mumbai.
The people of Mumbai have hardly any idea of temperature extremes and seasonal rhythms due to its coastal location. The vast Arabian Sea is a temperature buffer, moderating highs and lows throughout the year. This results in a pleasantly
Question : Directions: Select the option that will fill in the blank and complete the given series. 14, 17, 23, 32, 44, ______
Option 1: 59
Option 2: 54
Option 3: 69
Option 4: 56
Correct Answer: 59
Solution : Given: 14, 17, 23, 32, 44, ______
Add the consecutive multiples of 3 to get the missing number in the series – 14 + 3 × 1 = 17; 17 + 3 × 2 = 23; 23 + 3 × 3 = 32; 32 +
Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:
Option 1: 50
Option 2: 40
Option 3: 80
Option 4: 100
Correct Answer: 50
Solution : Let $a$ be the side of the square and $l,b$ be the length and breadth of a rectangle. $l = a + 10$ $b = a - 5$ Area of square = area of rectangle $⇒a^2 = lb$ $⇒a^2 = (a+10)(a-5)$ $⇒a^2 = a^2 +
Question : Directions: In a certain code language, YATCH is coded as 67 and DINE is coded as 40. How will MANGO be coded in that language?
Option 1: 57
Option 2: 60
Option 3: 62
Option 4: 65
Correct Answer: 60
Solution : Given: YATCH is coded as 67 and DINE is coded as 40.
Add the position value of the letters of the given word YATCH then add double the total number of letters in the word to obtain the required code – Y→25; A→1; T→20; C→3;
Question : A number, when divided by 729, gives a remainder of 56. What will we get as a remainder if the same number is divided by 27?
Option 1: 4
Option 2: 2
Option 3: 0
Option 4: 1
Correct Answer: 2
Solution : Given: The first number is 729. The second number is 27. The remainder after, dividing a number by 729, is 56. Check if the first number is completely divisible or not by the second number. $\frac{729}{27}$ = 27 Here, the first number is completely divisible
Question : A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone?
Option 1: 24 days
Option 2: 30 days
Option 3: 40 days
Option 4: 60 days
Correct Answer: 40 days
Solution : Given: A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A can do it in 15 days. 1 day work of A and B = $\frac{1}{10}$ -------(1) 1 day work
Question : $\triangle \mathrm{ABC}$ and $\triangle \mathrm{DEF}$ are two triangles such that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$. If AB = 5 cm, $\angle$B = 40° and $\angle$A = 80°, then which of the following options is true?
Option 1: DF = 5 cm, $\angle$E = 60°
Option 2: DE = 5 cm, $\angle$F = 60°
Option 3: DE = 5 cm, $\angle$D = 60°
Option 4: DE = 5 cm, $\angle$E = 60°
Correct Answer: DF = 5 cm, $\angle$E = 60°
Solution : According to the question, $\triangle$ABC $\cong$ $\triangle$FDE then, ∴ AB = FD, BC = DE and CA = EF And, $\angle$A = $\angle$F = 80º, $\angle$B = $\angle$D = 40º, $\angle$C = $\angle$E Through the Sum of angles, 180º
Question : A, B and C started a business. A invested $33 \frac{1}{3}$% of the total capital, B invest $33 \frac{1}{3}$% of the remaining capital and C, the remaining. If the total profit, at the end of a year, was INR 20,250, then the profit of C exceeds the profit of B by:
Option 1: INR 5,200
Option 2: INR 4,500
Option 3: INR 6,750
Option 4: INR 2,700
Correct Answer: INR 4,500
Solution : Let total capital be $9x$. Taking $33 \frac{1}{3}$% = $\frac{1}{3}$ Capital of A = $9x \times \frac{1}{3} = 3x$ Capital of B = $(9x - 3x) \times \frac{1}{3} = 2x$ Capital of C = $6x - 2x = 4x$ The profit share of A,
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