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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 14th Jan, 2024

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

10 Views

Question : In which of the following quadrilateral, opposite sides are not parallel?

Option 1: rectangle

Option 2: parallelogram

Option 3: rhombus

Option 4: kite

Team Careers360 23rd Jan, 2024

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.

13 Views

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: $2 \sec ^2 {B}-1$

Team Careers360 13th Jan, 2024

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,

30 Views

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

Team Careers360 14th Jan, 2024

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

37 Views

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

Team Careers360 11th Jan, 2024

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.

13 Views

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

Team Careers360 22nd Jan, 2024

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

39 Views

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

Team Careers360 19th Jan, 2024

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 $= \frac{54000}{11} : 1800 × 4$

33 Views

Question : Rajaraja I considered the most powerful Chola ruler, became king in ______________.

Option 1: 999

Option 2: 979

Option 3: 971

Option 4: 985

Team Careers360 14th Jan, 2024

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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