Staff Selection Commission Combined Higher Secondary Level Exam
Question : Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the centre of the circle.
Option 1: 12 cm
Option 2: 9 cm
Option 3: 8 cm
Option 4: 10 cm
Correct Answer: 8 cm
Solution : Given: a circle with a radius $OQ$ = 6 cm $OP$ = 10 cm By using Pythagoras theorem, ⇒ $OP^{2} = PQ^{2}+OQ^{2}$ ⇒ $10^{2} = PQ^{2}+6^{2}$ ⇒ $PQ^{2}=64$ ⇒ $PQ=8$ So, the length of the tangent is 8 cm. Hence, the correct answer is
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (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.) (169, 1681, 529) (144, 576, 1024)
Option 1: (196, 289, 224)
Option 2: (144, 121, 999)
Option 3: (624, 785, 256)
Option 4: (625, 784, 256)
Correct Answer: (625, 784, 256)
Solution : Given: (169, 1681, 529); (144, 576, 1024)
Here, the numbers of the given sets are the perfect squares. (169, 1681, 529)→$\sqrt169$ = 13; $\sqrt1681$ = 41; $\sqrt529$ = 23 (144, 576, 1024)→$\sqrt144$ = 12; $\sqrt576$ = 24; $\sqrt1024$ = 32
Let's check the
Question : Which of the following Anglo-Maratha wars resulted in merging the Peshwas' territories with the Bombay Presidency?
Option 1: Fourth
Option 2: Third
Option 3: Second
Option 4: First
Correct Answer: Third
Solution : The correct answer is Third.
The Anglo-Maratha Wars that resulted in the merging of the Peshwas' territories with the Bombay Presidency include the Third Anglo-Maratha War (1817–1818). The defeat of the Marathas in this war led to the annexation of their territories by the
Question : Which of the following statements below is incorrect?
Option 1: Every natural number is an integer.
Option 2: Every natural number is a real number.
Option 3: Every real number is a rational number.
Option 4: Every integer is a rational number.
Correct Answer: Every real number is a rational number.
Solution : We know that, 1. Every natural number is an integer. 2. Every natural number is a real number. 3. Every integer is a rational number. Above, all statements are true except that, every real number is a rational number.
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
She said a number of lies (1) /and left without (2) / completing her work. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The word "said" should be replaced with "told". "Said" is used in the direct speech and usually focuses on the words said by someone, while "tell" focuses more on the content of what someone said.
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation? 114 C 85 A 5 B 4 D 33 = ?
Option 1: 151
Option 2: 149
Option 3: 138
Option 4: 143
Correct Answer: 149
Solution : Given: A stands for ÷, B stands for ×, C stands for +, D stands for – 114 C 85 A 5 B 4 D 33 = ?
After changing the symbols as per the instruction, we will get – = 114 + 85 ÷
Question : ________is the chemical process in which different types of chemical reactions are involved in controlling the living state of the cells in an organism.
Option 1: Transportation
Option 2: Respiration
Option 3: Excretion
Option 4: Metabolism
Correct Answer: Metabolism
Solution : The correct answer is Metabolism.
Metabolism is the collection of chemical reactions that sustain life in organisms. It entails a variety of chemical reactions that occur in cells to keep the organism alive. Metabolism is the process by which energy is transferred from one form
Question : A man travels for 5 hours and 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.
Option 1: $1028\frac{6}{7}$ km
Option 2: $189$ km
Option 3: $378$ km
Option 4: $270$ km
Correct Answer: $270$ km
Solution : Let the total distance be $2d$ km. The man travels at 60 km/h for the first half. So time to travel first half = $\frac{d}{60}$ The man travels at 45 km/h for the second half. So time to travel second half = $\frac{d}{45}$ The
Question : Directions: In the following question, four number pairs are given. Four groups of three numbers are given. In each group, the second and third numbers are related to the first number by logic, rule, or relationship. Three are similar based on the same logic, rule, or relationship. Select the odd one out of the given alternatives.
Option 1: (61, 64, 71)
Option 2: (57, 60, 69)
Option 3: (75, 78, 85)
Option 4: (89, 92, 99)
Correct Answer: (57, 60, 69)
Solution : Let's check the options – First option: (61, 64, 71); 61 + 3 = 64; 64 + 7 = 71 Second option: (57, 60, 69); 57 + 3 = 60; 60 + 7 = 67 ≠ 69 Third option: (75, 78, 85); 75
Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/ word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation. Ostrich : Bird :: Chair : ?
Option 1: Stool
Option 2: Table
Option 3: Wood
Option 4: Furniture
Correct Answer: Furniture
Solution : Given: Ostrich : Bird :: Chair : ?
Like, an ostrich is a type of bird. Similarly, a chair is a type of Furniture.
Hence, the fourth option is correct.
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