Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following questions, select the related number from the given alternatives. 169 : 12 :: 25 : ?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Given: 169 : 12 :: 25 : ?
Like, 169 : 12→√169 = 13; 13 – 1 = 12 Similarly, for 25 : ?→√25 = 5; 5 – 1 = 4
So, 25 is related to 4. Hence, the third option is correct.
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 3
Option 2: 5
Option 3: 8
Option 4: 4
Solution : Multiply the first and third columns and divide the resultant by the second column, to get the fourth column –
In the first row: (12 × 11) ÷ 4 = 132 ÷ 4 = 33 In the second row: (13 × 6) ÷ 2 =
Question : Directions: Select the option that will replace the question mark to complete the given series. 7, 17, 41, 85, ?, 257
Option 1: 155
Option 2: 165
Option 3: 105
Option 4: 150
Correct Answer: 155
Solution : Given: 7, 17, 41, 85, ?, 257
The pattern is as follows –
So, the required missing number in the series is 155. Hence, the first option is correct.
Question : Directions: If the given sheet is folded to form a cube, which of the given figures is possible? (The letters are shown to indicate the sides only.)
Option 1: Only A and C
Option 2: Only B and C
Option 3: Only A, C and D
Option 4: Only C and D
Correct Answer: Only A and C
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. South Korea is the most cosmetically (1)______ country on Earth. Beauty editors estimate that it is because of the government’s heavy investment (2)______ industry. It is ahead of its competitors, and its citizens (3)_____ twice as much on skincare products as consumers in the United States, the UK, and France. Korean shoppers are (4)______ the world’s most discerning. Eight out of 10 Korean women in their 20s and 30s use an app that (5)_____ like a cosmetics-specific, to debate the merits of various common ingredients. Question: Select the most appropriate option to fill in the blank number 4.
Option 1: perhaps
Option 2: although
Option 3: maybe
Option 4: though
Correct Answer: perhaps
Solution : The first option is the correct choice.
In this case, perhaps is used to express a degree of uncertainty or likelihood. While it might not strictly adhere to a grammatical requirement, it fits the context of the sentence by suggesting that Korean shoppers may be
Question : Which athlete won a Gold Medal for India in the Men's triple jump event after a gap of 48 years in the Asian Games?
Option 1: Amarjeet Singh
Option 2: Arpinder Singh
Option 3: Renjith Maheshwary
Option 4: Rakesh Babu
Correct Answer: Arpinder Singh
Solution : The correct option is Arpinder Singh.
Arpinder Singh achieved a historic milestone for India in the Men's triple jump event at the Asian Games held in Jakarta. His remarkable performance secured a Gold Medal, marking the end of a 48-year gap since India's
Question : If A is an acute angle and cot A + cosec A = 3, then the value of sin A is:
Option 1: $1$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{5}$
Option 4: $0$
Correct Answer: $\frac{3}{5}$
Solution : Given: cot A + cosec A = 3.....................(1) By using the identities: cosec2A – cot2A = 1 ⇒ (cosec A + cot A) (cosec A – cot A) = 1 ⇒ cosec A – cot A = $\frac{1}{3}$....................(2) On adding both
Question : Study the given pie chart carefully and answer the question that follows. The degree-wise break-up of expenditure of a family in a Month. Total amount spent in a month = INR 56800.
What is the amount spent by the family on housing?
Option 1: INR 11,814
Option 2: INR 6,248
Option 3: INR 10,615
Option 4: INR 12,496
Correct Answer: INR 12,496
Solution : Total amount spent in a month = INR 56800 Amount spent on housing (in degrees) = 79.2° We know, amount spent = $\frac{\text{Given angle}}{\text{Total angle}}\times\text{Total amount spent}=\frac{79.2°}{360°}\times 56800=12496$ Hence, the correct answer is INR 12,496.
Question : In what proportion should a grocer mix wheat at INR 12 per kg and INR 25 per kg to make a mixture of worth INR 20 per kg?
Option 1: 8 : 3
Option 2: 3 : 5
Option 3: 5 : 8
Option 4: 5 : 7
Correct Answer: 5 : 8
Solution : Given: 1st wheat = INR 12 2nd wheat = INR 25 Mixture of wheats = INR 20 By using the alligation method: 1st wheat : 2nd wheat = 5 : 8 Hence, the correct answer is 5 : 8.
Question : Directions: The given pie chart shows the cars sold by a company in 2015-2016 of different models.
If the number of cars sold of model C is 22,000, then what will be the difference in the number of cars sold of model A and B?
Option 1: 800
Option 2: 1,200
Option 3: 1,000
Option 4: 1500
Correct Answer: 1,000
Solution : Number of cars sold of model C = $22,000$ $110^{\circ}$ ⇒ $22,000$ $1^{\circ}$ ⇒ $\frac{22000}{110}$ = $200$ -----------(i) Number of cars sold of model A ⇒ $45^{\circ}$ Number of cars sold of model B ⇒ $40^{\circ}$ The difference in the number of cars sold of
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