Staff Selection Commission Sub Inspector Exam
Question : A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
Option 1: 15
Option 2: 10
Option 3: 5
Option 4: 8
Correct Answer: 5
Solution : Let the total work = LCM of 15 and 35 = 105 units So, the efficiency of A = $\frac{105}{35}$ = 3 the efficiency of B = $\frac{105}{15}$ = 7 ⇒ efficiency of A and B = 10 In 8 day, A + B completed
Question : What happens when there is a demand deficiency in an economy?
Option 1: Poverty
Option 2: Stagnation
Option 3: Recession
Option 4: Inflation
Correct Answer: Stagnation
Solution : The correct option is Stagnation.
When there is a deficit in aggregate demand, an economy may stagnate. To support full employment and production capacity, individuals, corporations, and the government must spend more money. Firms do not need to produce as much due to the
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error."
Ancients considered that knowledge had its limits.
(1) had its limits
(2) Ancients considered
(3) that knowledge
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The error lies in the second option "Ancients considered".
"The ancients" is a noun that means the people who lived in ancient times. The article "the" is used with an adjective to refer to a whole group of people. Here, "the ancients" is
Question : If $s-\frac{1}{s-8}=20$, then the value of $(s-8)^3-\frac{1}{(s-8)^3}$ is:
Option 1: 1324
Option 2: 1764
Option 3: 1864
Option 4: 1944
Correct Answer: 1764
Solution : Given: $s-\frac{1}{s-8}=20$ ⇒ $s-8-\frac{1}{s-8}=12$ ⇒ $(s-8-\frac{1}{s-8})^3=12^3$ ⇒ $(s-8)^3-(\frac{1}{s-8})^3-3×(s-8)×\frac{1}{(s-8)}(s-8-\frac{1}{s-8})=1728$ ⇒ $(s-8)^3-(\frac{1}{s-8})^3-3×12=1728$ $\therefore(s-8)^3-(\frac{1}{s-8})^3= 1764$ Hence, the correct answer is 1764.
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some movies are dramas. Some dramas are fiction. Conclusions: I. Some movies are fiction. II. All fiction is movies.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some movies are fiction – From the given Venn diagram, it is evident that there is no overlapping between the
Question : Who was the last sultan of the Lodi Dynasty?
Option 1: Khizr Khan
Option 2: Sikander Lodi
Option 3: Ibrahim Lodi
Option 4: Bahlol Lodi
Correct Answer: Ibrahim Lodi
Solution : The correct answer is Ibrahim Lodi.
Ibrahim Khan Lodi, the final ruler of the Lodi Sultanate in Delhi (r. 1517–1526), possessed commendable warrior skills but lacked political acumen. His premature pursuit of royal absolutism and reliance on repression without administrative strengthening led to
Question : Directions: Select the option related to the fifth letter cluster in the same way the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. LIST : JNGKQURV :: MOAN : KOMQYCLP :: PLUM : ?
Option 1: NRJNKOSW
Option 2: NRJNSWKO
Option 3: NRSWKOJN
Option 4: NRSWJNKO
Correct Answer: NRJNSWKO
Solution : Given: LIST : JNGKQURV :: MOAN : KOMQYCLP :: PLUM : ?
Subtract and add 2, to the place value of each letter of LIST and MOAN, to get the related letter cluster as shown below –
So, LIST is related to JNGKQURV. And, MOAN
Question : Directions: In a language FIFTY is written as CACTY, CAR as POL, TAR as TOL how can TARIFF be written in that language?
Option 1: TOEFDD
Option 2: TOEFEL
Option 3: TOLACC
Option 4: TOLADD
Correct Answer: TOLACC
Solution : Given: FIFTY is written as CACTY, CAR is written as POL and TAR is written as TOL.
Like in, FIFTY is written as CACTY –
And in, CAR is written as POL –
Question : Directions: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. E can be represented by 11, 42, etc, and N can be represented by 65, 88, etc. Similarly, you have to identify the set for the word GRAND.
Option 1: 01,12, 58, 65, 56
Option 2: 43, 41, 85, 88, 98
Option 3: 20, 23, 66, 95, 89
Option 4: 14, 04, 99, 57, 68
Correct Answer: 01,12, 58, 65, 56
Solution : Given: GRAND
Number representations of each letter – G→01, 14, 20, 32, 43 R→04, 12, 23, 30, 41 A→58, 66, 77, 85, 99 N→57, 65, 79, 88, 96 D→56, 67, 78, 89, 95
First option: 01,12, 58, 65, 56; All the letters
Question : If $4-2 \sin ^2 \theta-5 \cos \theta=0,0^{\circ}<\theta<90^{\circ}$, then the value of $\cos \theta+\tan \theta$ is:
Option 1: $\frac{2-\sqrt{3}}{2}$
Option 2: $\frac{1+2 \sqrt{3}}{2}$
Option 3: $\frac{2+\sqrt{3}}{2}$
Option 4: $\frac{1-2 \sqrt{3}}{2}$
Correct Answer: $\frac{1+2 \sqrt{3}}{2}$
Solution : Given: $4-2 \sin ^2 \theta-5 \cos \theta=0$ ⇒ $4-2(1- \cos ^2 \theta)-5 \cos \theta=0$ ⇒ $4-2+ 2\cos ^2 \theta-5 \cos \theta=0$ ⇒ $2\cos ^2 \theta-5 \cos \theta+2=0$ ⇒ $2\cos ^2 \theta-4 \cos \theta- \cos \theta+2=0$ ⇒ $2\cos \theta(\cos \theta-2) - 1(\cos \theta-2) = 0$
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