Staff Selection Commission Sub Inspector Exam
Question : What will be the net discount (in percentage) after two successive discounts of 50% and 50%?
Option 1: 85%
Option 2: 75%
Option 3: 100%
Option 4: 95%
Correct Answer: 75%
Solution : Given: Both first and second discounts = 50% Net discount = $(x+y-\frac{xy}{100})$%, where $x$ and $y$ are two successive discounts. = $50+50-\frac{\text{50×50}}{100}$ = $100-\frac{\text{2500}}{100}$ = $100-25$ = $75$% Hence, the correct answer is 75%.
Question : The value of $\sqrt{\frac{1+\sin A}{1-\sin A}}$ is:
Option 1: $\sec A-\tan A$
Option 2: $\operatorname{cosec} A+\cot A$
Option 3: $\sec A+\tan A$
Option 4: $\operatorname{cosec} A-\cot A$
Correct Answer: $\sec A+\tan A$
Solution : $\sqrt{\frac{1+\sin A}{1-\sin A}}$ = $\sqrt{\frac{(1+\sin A)^2}{(1-\sin A)(1+\sin A)}}$ = $\sqrt{\frac{(1+\sin A)^2}{1-\sin^2 A}}$ = $\sqrt{\frac{(1+\sin A)^2}{\cos^2 A}}$ = $\frac{(1+\sin A)}{\cos A}$ = $\sec A + \tan A$ Hence, the correct answer is $\sec A + \tan A$.
Question : Directions: If 8 * 9 # 3 = 51 and 12 * 6 # 4 = 72, then 13 * 11 # 6 = ?
Option 1: 156
Option 2: 128
Option 3: 136
Option 4: 144
Correct Answer: 144
Solution : Given: 8 * 9 # 3 = 51; 12 * 6 # 4 = 72
Use the following mathematical signs in place of given symbols – + in place of * and × in place of #. Like, 8 * 9 # 3 = 51→(8
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 9
Option 2: 10
Option 3: 11
Option 4: 12
Correct Answer: 11
Solution : Here, the sum of all the numbers in each column is 22.
In column one: 1 + 8 + 9 + 4 = 22 In column two: 7 + 6 + 2 + 7 = 22 Similarly, follow the same pattern in the third column:
Question : Directions: In a code language, PLUM is written as KQOMFVNN. How will BIG be written in that language?
Option 1: YCRKTM
Option 2: CYRJGT
Option 3: XCSJTH
Option 4: YCRJTH
Correct Answer: YCRJTH
Solution : Given: PLUM is written as KQOMFVNN.
Code the letters with the opposite letter and add 1 in the same letters of PLUM as shown, to obtain the required code –
Thus, PLUM is coded as KQOMFVNN. Similarly, by following the same pattern for BIG –
Question : Select the most appropriate word which means the same as the group of words given.
Not revealing one's thoughts or feelings readily
Option 1: forthright
Option 2: reticent
Option 3: evaluative
Option 4: communicative
Correct Answer: reticent
Solution : The correct choice is the second option.
Reticent is used to describe someone who is reserved and not inclined to share thoughts or feelings easily, making it the correct choice.
Question : Select the most appropriate option that can substitute the underlined idiom/phrase in the given sentence. You cannot throw dust into my eyes.
Option 1: terrify me
Option 2: hurt me
Option 3: abuse me
Option 4: mislead or deceive me
Correct Answer: mislead or deceive me
Solution : The correct choice is the fourth option.
The phrase "throw dust into my eyes" is an idiom that means to deceive or mislead someone. The appropriate substitution for this idiom would be, you cannot deceive me, as it conveys the
Question : Recoveries of loans and advances, borrowings, are an example of ________.
Option 1: non-tax receipts
Option 2: capital receipts
Option 3: revenue receipts
Option 4: tax receipts
Correct Answer: capital receipts
Solution : The correct answer is capital receipts.
Since loan recovery reduces government assets, it is regarded as a capital receipt. These are the receipts that make the government liable or cause its assets to decrease. It is the proceeds realised from the selling of stocks,
Question : The following table shows the number of centuries scored by given five cricketers in the past 5 years.
Who scored the maximum number of centuries?
Option 1: A
Option 2: C
Option 3: B
Option 4: E
Correct Answer: B
Solution : From the given table: Century scored by A in given years = 1 + 0 + 1 + 0 + 1 = 3 Century scored by B in given years = 1 + 0 + 2 + 1 + 1 = 5 Century scored by
Question : Directions: Two numbers are named as Number A and Number B. The sum of Number A, its square, and its cube is 399. The sum of Number B, its square, and its cube is 819. What would be the square of the number obtained by adding numbers A and B?
Option 1: 256
Option 2: 289
Option 3: 225
Option 4: 324
Correct Answer: 256
Solution : Given: (I) The sum of Number A, its square, and its cube is 399 A + A2 + A3 = 399 7 + 49 + 343 = 399 Thus, A = 7 (II) The sum of Number B, its square, and its cube
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