Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series to make it logically complete? CMW, MWG, WGQ, GQA, ?
Option 1: AKQ
Option 2: KAQ
Option 3: QAK
Option 4: QBL
Correct Answer: QAK
Solution : Given: CMW, MWG, WGQ, GQA, ?
Here, add 10 to the place value of each letter of the previous term to obtain the next term in the series – CMW→C + 10 = M; M + 10 = W; W + 10 =
Question : Directions: The sides of a cube show the colours of the rainbow. Two positions of cubes are shown below. Which of the colours of the rainbow is left out?
Option 1: Yellow
Option 2: Green
Option 3: Violet
Option 4: Indigo
Correct Answer: Violet
Solution : The colours of the rainbow are –
In the given cubes, all the letters are present except V (Violet).
So, the colour of the rainbow which is left out is Violet.
Question : If (a + b + c) = 7 and ab + bc + ca = 12, find the value of a2 + b2 + c2.
Option 1: 29
Option 2: 31
Option 3: 27
Option 4: 25
Correct Answer: 25
Solution : Given: ab + bc + ca = 12 (a + b + c) = 7 Squaring both sides, we get, ⇒ (a + b + c)2 = 72 = 49 ⇒ a2 + b2 + c2 + 2(ab + bc
Question : If A + B = – 5 and AB = 6, then find the value of A3 + B3.
Option 1: 35
Option 2: 45
Option 3: –35
Option 4: 215
Correct Answer: –35
Solution : We know that, (A + B)3 = A3 + B3 + 3AB(A+B) ⇒ (–5)3 = A3 + B3 + 3 × 6(–5) ⇒ –125 = A3 + B3 – 90 $\therefore$ A3 + B3 =
Question : Directions: In the given question, select the related letter cluster from the given alternatives. PAL : RDP :: MRF : ?
Option 1: FAJ
Option 2: KUC
Option 3: OUJ
Option 4: RPT
Correct Answer: OUJ
Solution : Given: PAL : RDP :: MRF : ?
Add the increasing order of the numbers, starting from 2 in the letters to get the required code. Like, P + 2 = R; A + 3 = D; L + 4 = P Similarly, M +
Question : If $\frac{(a+b+c)}{2}=16$ and $2ab+2 bc+2ca=120$ ,then what is the value of $4a^2+4b^2+4c^2$?
Option 1: 2828
Option 2: 3368
Option 3: 3616
Option 4: 3056
Correct Answer: 3616
Solution : Given: $\frac{(a+b+c)}{2}=16$ $⇒ a+b+c=32$ Also given $2ab+2 bc+2ca=120$ We know that, $(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$ Putting the values we get: ⇒ $(32)^2=a^2+b^2+c^2+120$ ⇒ $1024-120=a^2+b^2+c^2$ ⇒ $a^2+b^2+c^2=904$ $\therefore 4(a^2+b^2+c^2)=4\times904=3616$ Hence, the correct answer is 3616.
Question : Which of the following became the first indigenously developed vaccine from India to be pre-qualified by the World Health Organisation?
Option 1: Rotavac
Option 2: Haemophilia
Option 3: Pentavac
Option 4: Pneumococcal
Correct Answer: Rotavac
Solution : The correct option is Rotavac.
The World Health Organization (WHO) had pre-qualified Rotavac, India's first locally-made vaccine. Being pre-qualified entitles the vaccine to overseas sales to numerous South American and African nations. The vaccination was a part of India's national immunisation program and was
Question : A boat takes 11 hours to travel a distance upstream and takes 5 hours to travel the same distance downstream. If the speed of the boat in still water is $2 \frac{2}{9}$ m/s, then the speed of the stream (in km/hr) is:
Option 1: 2
Option 2: 3
Option 3: 1
Option 4: 4
Correct Answer: 3
Solution : Let us assume $B$ as the speed of the boat in still water (m/s) and $S$ as the speed of the stream (m/s) Effective speed upstream = (B – S) m/s Effective speed downstream = (B + S) m/s For upstream: Distance = (B –
Question : Directions: Select the option that represents the letters that, when sequentially placed from left to right in the blanks below will complete the letter series. _utt_tt_ttu_
Option 1: uutt
Option 2: tutu
Option 3: ttuu
Option 4: tuut
Correct Answer: tuut
Solution : Given: _utt_tt_ttu_
To fill the series we have to divide the series→_ut / t_t / t_t / tu_ Let's check each option – First option: uutt; uut / tut / ttt / tut (No repeated pattern has been found.)
Question : Directions: 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. M can be represented by 01, 10, etc., and A can be represented by 56, 65, etc. Similarly, you have to identify the set for the word ROD.
Option 1: 58, 66, 78
Option 2: 67, 96, 57
Option 3: 56, 66, 86
Option 4: 58, 69, 65
Correct Answer: 67, 96, 57
Solution : Given: ROW
Number representations of each letter – R→58, 67, 76, 85, 99 O→55, 69, 78, 87, 96 D→57, 66, 75, 89, 98
Let's check the options – First option: 58, 66, 78; O and W cannot be represented by 66 and 78
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
