Staff Selection Commission Sub Inspector Exam
Question : In what ratio must 25% hydrochloric acid be mixed with 60% hydrochloric acid to get a mixture of 40% hydrochloric acid?
Option 1: 5 : 12
Option 2: 4 : 3
Option 3: 3 : 4
Option 4: 12 : 5
Correct Answer: 4 : 3
Solution : Using the alligation method, we get, Required ratio = (Higher value – Mean value) : (Mean value – Lower value) $\therefore$ Required ratio = (60 – 40) : (40 – 25) = 20 : 15 = 4 : 3 Hence, the correct answer
Question : If $a=b^p,b=c^q,c=a^r$, then $pqr$ is:
Option 1: $1$
Option 2: $0$
Option 3: $-1$
Option 4: $abc$
Correct Answer: $1$
Solution : Given: $a=b^p,b=c^q,c=a^r$ $a=b^p$ ⇒ $a=(c^q)^p$ ⇒ $a=(a^r)^{pq}$ ⇒ $a^1=(a)^{pqr}$ $\therefore pqr=1$ Hence, the correct answer is 1.
Question : A species of grass named _____ is on the verge of extinction due to its insensitivity towards the environment.
Option 1: Helianthus annuus
Option 2: Saccharum officinarum
Option 3: Hubbardia heptaneuron
Option 4: Bellis perennis
Correct Answer: Hubbardia heptaneuron
Solution : The correct option is Hubbardia heptaneuron.
Hubbardia heptaneuron, a unique and critically endangered grass species, is indeed teetering on the brink of extinction due to its sensitivity to environmental changes. This slender, clump-forming grass, with its delicate spikelets and preference for wet rocks,
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.) (2, 5, 341) (1, 7, 510)
Option 1: (8, 2, 140)
Option 2: (1, 2, 25)
Option 3: (2, 5, 56)
Option 4: (3, 6, 64)
Correct Answer: (1, 2, 25)
Solution : Given: (2, 5, 341); (1, 7, 510)
Add the first two numbers, then find its cube, and then subtract 2 from the cube to obtain the third number. (2, 5, 341)→(2 + 5) = (7)3 = 343 – 2 = 341 (1,
Question : Directions: Which figure will replace the question mark (?) in the following figure series?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows — 1. In the given series, the set of three black triangles and white triangles are moving two places at a time alternately in a clockwise direction. 2. The rotation started from the mid-right corner in a black triangle and
Question : If $x^4+x^2 y^2+y^4=21$ and $x^2+xy+y^2=3$, then what is the value of $4xy $?
Option 1: –8
Option 2: 4
Option 3: –4
Option 4: 12
Correct Answer: –8
Solution : We have, $x^4+x^2 y^2+y^4=21$ and, $x^2+xy+y^2=3$ -----------------(i) Use the identity, $x^4+x^2 y^2+y^4=(x^2-x y+y^2)(x^2+x y+y^2)$ $⇒21=3(x^2-x y+y^2)$ $⇒x^2-x y+y^2=7$ ---------------------(ii) From (i) and (ii), $⇒2xy=-4$ $⇒4xy=-8$ Hence, the correct answer is –8.
Question : A group of genes whose activity is coordinated by a DNA site is called:
Option 1: operon
Option 2: cistron
Option 3: polysome
Option 4: polypeptic
Correct Answer: operon
Solution : The correct option is operon.
An operon is a group of genes whose DNA location regulates their activity. Operons play a crucial role in the regulation of gene expression and are widely found in bacterial organisms. They consist of an operator region, a promoter region,
Question : Directions: Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing 1.
Option 1: 6
Option 3: 5
Option 4: 3
Correct Answer: 6
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Therefore, the opposite
Question : ‘Rongali Bihu’, one of the major festivals of Assam, is celebrated in the month of :
Option 1: May
Option 2: January
Option 3: August
Option 4: April
Correct Answer: April
Solution : The correct option is April.
'Rongali Bihu,' also known as Bohag Bihu, is one of the major festivals of Assam, India. It is celebrated in April, marking the Assamese New Year and the arrival of spring. The festival usually falls on or around April 14th
Question : The following bar chart shows the number of students playing various games on a given day. Study the bar chart carefully and answer the question that follows. The average number of students playing rugby, hockey, badminton, and squash is what percentage of the average number of students playing tennis and football?
Option 1: 60%
Option 2: 30%
Option 3: 50%
Option 4: 45%
Correct Answer: 60%
Solution : The number of students playing rugby = 30 The number of students playing hockey = 60 The number of students playing badminton = 20 The number of students playing squash = 10 The average number of students playing rugby, hockey, badminton, and squash = $\frac{30+60+20+10}{4}=30$
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