Staff Selection Commission Combined Higher Secondary Level Exam
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.) (7, 21, 343) (8, 24, 512)
Option 1: (8, 50, 512)
Option 2: (5, 10, 225)
Option 3: (11, 66, 1331)
Option 4: (9, 27, 729)
Correct Answer: (9, 27, 729)
Solution : Given: (7, 21, 343); (8, 24, 512)
Multiply the first number by 3, to obtain the second number and find the cube of the first number, to obtain the third number in the given set of numbers – ⇒ (7, 21, 343)→7 ×
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : If the angles $P, Q$ and $R$ of $\triangle PQR$ satisfy the relation $2 \angle R-\angle P=\angle Q-\angle R$, then find the measure of $\angle R$.
Option 1: $45^{\circ}$
Option 2: $60^{\circ}$
Option 3: $50^{\circ}$
Option 4: $55^0$
Correct Answer: $45^{\circ}$
Solution : We know that the sum of the angles of a triangle = $180^{\circ}$ Let $\angle R = x$ Given: $2 \angle R-\angle P=\angle Q-\angle R$ ⇒ $2x - \angle P = \angle Q -x$ ⇒ $3x = \angle Q+\angle P$ Now, $\angle R + \angle
Question : Directions: What should come in place of (?) in the given series based on the English alphabetical order? DRH, YOG, TLF, OIE, ?
Option 1: JFD
Option 2: KFE
Option 3: IDE
Option 4: KDD
Correct Answer: JFD
Solution : Given: DRH, YOG, TLF, OIE, ?
Subtract 5, 3, and 1 from the place value of the first, second, and third letters of the previous letter cluster to obtain the next letter cluster of the series. First letter of the series→D – 5 = Y;
Question : If the sum of three consecutive composite numbers is 36, then what is the product of the three numbers?
Option 1: 1460
Option 2: 1750
Option 3: 1680
Option 4: 1820
Correct Answer: 1680
Solution : Two consecutive numbers have a maximum difference of 2. So, the composite numbers that satisfy the given condition are 10, 12, and 14. The product of these three numbers = 10 × 12 × 14 = 1680 Hence, the correct answer is 1680.
Question : If the price of an apple is reduced by 30 percent, it enables the customer to buy 5 more apples for Rs. 140. Find the reduced rate of apple.
Option 1: Rs. 14
Option 2: Rs. 7
Option 3: Rs. 8.4
Option 4: Rs. 12
Correct Answer: Rs. 8.4
Solution : Let the original price of an apple be $10x$. The new price will be reduced by 30% $= 7x$ Now, according to the question, $\frac{140}{7x}-\frac{140}{10x}=5$ ⇒ $\frac{420}{70x}=5$ ⇒ $\frac{6}{x}=5$ ⇒ $x = 1.2$ The new price of apple $= 7x=7\times1.2=8.4$ Hence, the correct answer
Question : "Red Data Book" provides an account of:
Option 1: Endangered plants only
Option 2: Fossil plants
Option 3: Endangered plants and animals
Option 4: Extinct animals only
Correct Answer: Endangered plants and animals
Solution : The correct option is Endangered plants and animals.
The Red Data Book was created in 1965 and is sometimes referred to as the Russian Red Data Book, as it was developed by Russian researchers. The book provides a comprehensive overview of
Question : Directions: A word is represented by only one set of numbers in any of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the 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. M can be represented by 01, 10, etc., and R can be represented by 58, 85, etc. Similarly, you have to identify the set for the word NOW.
Option 1: 95, 67, 02
Option 2: 86, 58, 11
Option 3: 55, 78, 11
Option 4: 95, 55, 34
Correct Answer: 95, 55, 34
Solution : Given: NOW Number representations of each letter – N→59, 68, 77, 86, 95 O→55, 69, 78, 87, 96 W→02, 11, 20, 34, 43
Let's check the options – First option: 95, 67, 02; O cannot be represented by 67. Second option: 86, 58,
Question : People with Down's syndrome are invariably affected by:
Option 1: Huntington's disease
Option 2: Alzheimer's disease
Option 3: Meningitis
Option 4: Brain haemorrhage
Correct Answer: Alzheimer's disease
Solution : The correct option is Alzheimer's disease.
Alzheimer's disease is a brain ailment that gradually impairs memory, reasoning and the capacity to do even the most basic tasks. A higher risk of Alzheimer's disease is also linked to Down's syndrome. Nearly all Down's syndrome
Question : The sum of the two numbers is 75, and their difference is 25. The product of the two numbers is:
Option 1: 1350
Option 2: 1250
Option 3: 410
Option 4: 1000
Correct Answer: 1250
Solution : Given: The sum of the two numbers is 75, and their difference is 25. We know, The bigger number = $\frac{\text{Sum + Difference}}{2}$ = $\frac{75 + 25}{2}$ = 50 So, the smaller number = (75 – 50) = 25 Therefore, the product of the two
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