Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: AFKQ is related to BELR in a certain way based on the English alphabetical order. In the same way, IQWY is related to JPXZ. To which of the following is CMSU related to following the same logic?
Option 1: XNHE
Option 2: BLRT
Option 3: DKTU
Option 4: DLTV
Correct Answer: DLTV
Solution : Given: AFKQ is related to BELR and IQWY is related to JPXZ.
Add 1 to the place value of the first, third, and fourth letters and subtract 1 from the place value of the second letter of AFKQ, and IQWY to get the related letter
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. All males are females. II. Some females are old. Conclusions: I. All males are old. II. Some males are old.
Option 1: Only II follows
Option 2: Neither I nor II follows
Option 3: Only I follows
Option 4: Both I and II follow
Correct Answer: Neither I nor II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All males are old – From the Venn diagram, it is evident that there is no direct relation between males and
Question : In which of the following quadrilateral, opposite sides are not parallel?
Option 1: rectangle
Option 2: parallelogram
Option 3: rhombus
Option 4: kite
Correct Answer: kite
Solution : Opposite sides are parallel in rectangle, parallelogram and rhombus. Opposite sides are not parallel in a kite. Hence, the correct answer is kite.
Question : Directions: A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : The given expression is equal to: $(\cot B-\tan B)\sin B\cos B$:
Option 1: $1-2 \sec ^2 B$
Option 2: $1-2 \cos ^2 {B}$
Option 3: $2 \cos ^2 {B}-1$
Option 4: $2 \sec ^2 {B}-1$
Correct Answer: $2 \cos ^2 {B}-1$
Solution : $(\cot B-\tan B)\sin B\cos B$ = $(\frac{\cos B}{\sin B}-\frac{\sin B}{\cos B})\sin B\cos B$ = $(\frac{\cos^2 B - \sin^2 B}{\sin B\cos B})\sin B\cos B$ = $\cos^2 B - \sin^2 B$ = $\cos^2 B - (1- \cos^2 B)$ = $2\cos^2 B - 1$ Hence,
Question : Find the least value for * in the number 3*7440 such that it is divisible by 12.
Option 1: 0
Option 2: 2
Option 3: 1
Option 4: 4
Correct Answer: 0
Solution : The number 3*7440 is divisible by 12, so we can say the number is also divisible by both 4 and 3. Divisibility law of 4∶ A number is divisible by 4 if its last two digits are divisible by 4. Divisibility law of 3∶ A
Question : Directions: M is the brother of N. N is the father of O. O is the mother of P who is married to Q. Q is the son of R. S is the father of N and married to T. How is T related to O?
Option 1: Mother's father
Option 2: Mother's mother
Option 3: Father's mother
Option 4: Father
Correct Answer: Father's mother
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, T is the father's mother of O. Hence, the third option is correct.
Question : Some boys raised Rs. 12,544 for a famine fund, each boy has given as many rupees as there were boys. The number of boys was:
Option 1: 102
Option 2: 112
Option 3: 122
Option 4: 132
Correct Answer: 112
Solution : Let the total number of boys be x. The amount contributed by each boy = Total number of boys According to the question, x2 = 12544 or, x = $\sqrt{12544}$ = 112 So, the number of boys = 112 Hence, the correct answer is
Question : Both A and B sell their watch at the rate of Rs. 5,400 per watch. A earned a profit of 10% while B incurred a loss of 25%. What is the ratio of cost prices of A and B?
Option 1: 19 : 23
Option 2: 15 : 22
Option 3: 15 : 19
Option 4: 18 : 25
Correct Answer: 15 : 22
Solution : $\small\text{Cost Price} = \text{Selling Price} × \frac{100}{100\ ±\ \text{Loss or Profit%}}$ We get, Cost price for A $= 5400 × \frac{100}{110}=\frac{54000}{11}$ And, Cost price for B $= 5400 × \frac{100}{75}=1800 × 4$ $\therefore$ Ratio of both CP $= \frac{54000}{11} : 1800 × 4$
Question : Rajaraja I considered the most powerful Chola ruler, became king in ______________.
Option 1: 999
Option 2: 979
Option 3: 971
Option 4: 985
Correct Answer: 985
Solution : The correct option is 985.
Rajaraja I, a significant Chola king, assumed the throne in the year 985 CE. His reign marked a pinnacle in Chola power, witnessing territorial expansion, economic prosperity and the construction of the famous Brihadeeswara Temple in Thanjavur, showcasing Chola
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