Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the ANTONYM of the word affable to fill in the blank.
We were entering the ________ territory.
Option 1: aggravate
Option 2: sardonic
Option 3: hostile
Option 4: amicable
Correct Answer: hostile
Solution : The correct choice is the third option.
The most appropriate antonym for affable is hostile, because affable denotes pleasant or friendly, while hostile means having very strong feelings against somebody or something.
The meanings of other options are as follows:
Question : Directions: DMTS is related to FOVU in a certain way based on the English alphabetical order. In the same way, KGQO is related to MISQ. To which of the following is HCMU related following the same logic?
Option 1: JDOK
Option 2: KFPM
Option 3: JEOW
Option 4: IEPN
Correct Answer: JEOW
Solution : Given: DMTS is related to FOVU and KGQO is related to MISQ.
Add 2 to the place value of each letter of DMTS and KGQO to obtain their respective codes – DMTS→D + 2 = F; M + 2 = O; T + 2 =
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
What delicious flavour these mangoes have!
(1) have!
(2) What delicious
(3) flavour these mangoes
(4) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct choice is the second option.
Explanation: When we express admiration or emphasise the quality of something, we often use the structure "What a [adjective] [noun]!". The addition of the article "a" in this case is grammatically correct and aligns with the pattern
Question : Directions: E is the brother of F. D is the wife of E. G is the father of H. F is the sister of G. How is E related to G?
Option 1: Brother
Option 2: Son
Option 3: Brother-in-law
Option 4: Father
Correct Answer: Brother
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, from the above family tree, E is the brother of G. Hence, the first option
Question : A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss percent is:
Option 1: $12\frac{1}{2}\%$
Option 2:
$9\%$
Option 3:
$10\%$
Option 4:
$11\frac{1}{2}\%$
Correct Answer:
Solution : Let the selling price of one orange = Re. 1 The selling price of 36 oranges = Rs. 36 Loss on 36 oranges = Rs. 4 The cost price of 36 oranges = 36 + 4 = Rs. 40 Loss percentage = $\frac{\text{Loss}}{\text {Cost Price}}$
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (-) is related to the number on the right side of (-) with some Logic/Rule /Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (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.)
Option 1: 64 – 4032
Option 2: 38 – 1444
Option 3: 42 – 1764
Option 4: 52 – 2704
Correct Answer: 64 – 4032
Solution : Let's check each option – First option: (64 – 4032); 642 = 4096 ≠ 4032 Second option: (38 – 1444); 382 = 1444 Third option: (42 – 1764); 422 = 1764 Fourth option: (52 – 2704); 522 = 2704
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 183, 173, 153, 123, 83, ?
Option 1: 43
Option 2: 33
Option 3: 23
Option 4: 53
Correct Answer: 33
Solution : Given: 183, 173, 153, 123, 83, ?
Subtract multiples of 10 to the previous number to obtain the next number. 183 – 10 = 173, 173 – 20 = 153, 153 – 30 = 123, 123 – 40 = 83, 83 – 50 = 33
Question : Let ABC be a triangle right-angled at B. If $\tan A = \frac{12}{5}$, then find the values of $\operatorname{cosec A}$ and $\sec A$, respectively.
Option 1: $\frac{13}{10}, \frac{5}{13}$
Option 2: $\frac{13}{12},\frac{13}{5}$
Option 3: $\frac{10}{13}, \frac{5}{13}$
Option 4: $\frac{12}{13}, \frac{5}{13}$
Correct Answer: $\frac{13}{12},\frac{13}{5}$
Solution : Given, $\tan A=\frac{12}{5}$ $\tan A = \frac{\text{perpendicular}}{\text{base}}$ Using pythagoras theorem, $\small\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$ ⇒ $h^2=5^2+12^2$ ⇒ $h^2=25+144$ ⇒ $h^2=169$ ⇒ $h=13$ $\therefore$ $\operatorname{cosec A}=\frac{\text{Hypotenuse}}{\text{Perpendicular}}=\frac{13}{12}$ And, $\sec A=\frac{\text{Hypotenuse}}{\text{Base}}=\frac{13}{5}$ Hence, the correct answer is $\frac{13}{12},\frac{13}{5}$.
Question : If $\theta$ is a positive acute angles and $\operatorname{cosec}\theta =\sqrt{3}$, then the value of $\cot \theta -\operatorname{cosec}\theta$ is:
Option 1: $\sqrt2-\sqrt3$
Option 2: $\frac{\sqrt{2}(3+\sqrt{3})}{3}$
Option 3: $\frac{\sqrt{2}(3-\sqrt{3})}{3}$
Option 4: $\frac{3\sqrt{2}+\sqrt{3}}{3}$
Correct Answer: $\sqrt2-\sqrt3$
Solution : Given: $\operatorname{cosec}\theta=\sqrt3$ $⇒\frac{1}{\sin\theta}=\sqrt3$ $⇒\sin\theta=\frac{1}{\sqrt3}$ We know that, $\cos\theta = \sqrt{1-\sin^2\theta}=\sqrt{1-(\frac{1}{\sqrt3})^2}=\sqrt{1-\frac{1}{3}}=\sqrt\frac{2}{3}$ So, $\cot\theta-\operatorname{cosec}\theta$ $=\frac{\cos\theta}{\sin\theta}-\operatorname{cosec}\theta$ $=\frac{\sqrt\frac{2}{3}}{\frac{1}{\sqrt3}}-\sqrt3$ $=\sqrt\frac{2}{3}×\sqrt3-\sqrt3$ $=\sqrt2-\sqrt3$ Hence, the correct answer is $\sqrt2-\sqrt3$.
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. HPA, FMZ, DJY, BGX, ?
Option 1: ZDW
Option 2: ZEV
Option 3: YDW
Option 4: YEV
Correct Answer: ZDW
Solution : Given: HPA, FMZ, DJY, BGX, ?
Here, subtract 2, 3, and 1 in the first, second, and third letters respectively to obtain the letters of the next term. HPA→H – 2 = F; P – 3 = M; A – 1 = Z→FMZ FMZ→F –
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