Staff Selection Commission Combined Higher Secondary Level Exam
Question : Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$, respectively, on the circumference of the major sector of the circle with centre $O$. What is the value (in degrees) of $(\angle ABC+\angle ACB)$, if $\angle BDC=73^{\circ}?$
Option 1: $117^{\circ}$
Option 2: $107^{\circ}$
Option 3: $103^{\circ}$
Option 4: $113^{\circ}$
Correct Answer: $107^{\circ}$
Solution : Given: Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$. $\angle BDC=73^{\circ}$ So, $\angle BAC=73^{\circ}$ (common base) We know that in $\triangle ABC$, $\angle ABC+\angle BAC+\angle ACB=180^{\circ}$ Putting the value of $\angle BAC=73^{\circ}$, we have, ⇒ $\angle ABC+73^{\circ}+\angle ACB=180^{\circ}$ ⇒
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, the following pattern is being followed – 1. The lines with the square on the top change to the line with an asterisk on the top in every alternate box one by one, starting from the left side from the second box
Question : At the beginning of a partnership business, the capital of B was $\frac{3}{2}$ times that of A. After 8 months B withdrew $\frac{1}{2}$th of his capital and after 10 months A withdrew $\frac{1}{4}$th of his capital. At the end of the year, if the profit incurred is Rs. 53,000, find the amount received by A.
Option 1: Rs. 30,800
Option 2: Rs. 32,000
Option 3: Rs. 30,000
Option 4: Rs. 23,000
Correct Answer: Rs. 23,000
Solution : Let A invest Rs. $x$ at the beginning of the partnership business, then the ratio of the profit A and B, $=(x\times10+\frac{3x}{4}\times2):(\frac{3x}{2}\times8+\frac{3x}{4}\times4)$ $=\frac{23x}{2}:15x$ $=23:30$ The amount received by A in the profit, $=\frac{23}{53}\times53000$ = Rs. 23,000 Hence, the correct answer is Rs. 23,000.
Question :
Directions: In the following question, select the related word from the given alternatives. Car : Garage :: ? : Hangar
Option 1: Train
Option 2: Truck
Option 3: Aeroplane
Option 4: Bus
Correct Answer: Aeroplane
Solution :
Given: Car : Garage :: ? : Hangar
Like, a garage is a place where cars are parked. Similarly, a hangar is a place where aeroplanes are kept.
Hence, the third option is correct.
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 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. 'D' can be represented by 68,10, etc and 'R' can be represented by 34, 22, etc. Similarly, you have to identify the set for the word PRIME.
Option 1: 42, 31, 20, 79, 57
Option 2: 33, 34, 11, 97, 56
Option 3: 95, 13, 02,14, 23
Option 4: 30, 22, 00, 65, 99
Correct Answer: 33, 34, 11, 97, 56
Solution : Given: PRIME
Number representations of each letter – P → 01, 30, 33, 42, 95 R → 04, 13, 22, 31, 34 I → 00, 02, 11, M → 03, 65, 79, 97 E → 24, 32, 41, 56
First option:
Question : Select the option that will improve the underlined part of the given sentence.
Adyasha would have been looked gorgeous in ethnic apparel.
Option 1: was looked
Option 2: would have looked
Option 3: had looking
Option 4: would be looked
Correct Answer: would have looked
Solution : The correct choice is the second option.
The correct form for expressing the hypothetical situation of Adyasha not actually wearing ethnic apparel is "would have looked". This adheres to the general rule of the third conditional structure, where "would have" is followed by
Question : Select the most appropriate synonym of the word 'scrutiny' from the given sentence. The company's strategic plan included a comprehensive analysis of market trends and consumer behaviour.
Option 1: behaviour
Option 2: comprehensive
Option 3: trends
Option 4: analysis
Correct Answer: analysis
Solution : The correct choice will be the fourth option.
Scrutiny means the careful and detailed examination of something in order to get information about it. Analysis denotes the result of a careful examination of something, making it a fitting synonym.
The meanings of the other
Question : The average of 13 results is 70. If the average of the first seven is 65 and that of the last seven is 75, the seventh result is:
Option 1: 67
Option 2: 70
Option 3: 68
Option 4: 70.5
Correct Answer: 70
Solution : The average of 13 results = 70 The sum of all results = 13 × 70 = 910 The average of the first seven = 65, and the average of the last seven = 75 The sum of the first seven results = 7 ×
Question : Directions: Out of the given letter clusters, three are similar in a certain manner. However, one option is NOT like the other three. Select the option which is different from the rest.
Option 1: BDF
Option 2: UWY
Option 3: IKM
Option 4: PRS
Correct Answer: PRS
Solution : Let's check the options – First option: BDF; B + 2 = D; D + 2 = F Second option: UWY; U + 2 = W; W + 2 = Y Third option: IKM; I + 2 = K; K + 2 = M Fourth
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No Error' as your answer.
A crocodile / was swimming / in a river.
Option 1: A crocodile
Option 2: was swimming
Option 3: No Error
Option 4: in a river
Correct Answer: No Error
Solution : The third option is the correct answer.
The given sentence is correct and there is No error. The sentence simply describes the action of a crocodile swimming in a river.
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
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