Staff Selection Commission Multi Tasking Staff Exam
Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 4 ÷ 32 + 8 × 9 – 5 = 35
Option 1: × and –
Option 2: ÷ and +
Option 3: ÷ and ×
Option 4: × and +
Correct Answer: ÷ and +
Solution : Given: 4 ÷ 32 + 8 × 9 – 5 = 35
After interchanging signs according to the given options. First option: × and – Solving the L.H.S. of the equation – 4 ÷ 32 + 8 – 9 × 5 = 35
Question : Ajay buys a scooter for Rs. 7560 and spends Rs. 540 on its repair. He sells it for Rs. 9000. What is his gain percentage?
Option 1: 8.33%
Option 2: 9.09%
Option 3: 11.11%
Option 4: 6.25%
Correct Answer: 11.11%
Solution : Ajay buys a scooter for Rs. 7560 Spends on repairing = Rs. 540 Total cost price = 7560 + 540 = 8100 Selling price = Rs. 9000 Gain = selling price – cost price = 9000 – 8100 = 900 Gain percentage = $\frac{\text{Selling price
Question : The protein present in the finger nail is
Option 1: Actin
Option 2: Myosin
Option 3: Globin
Option 4: Keratin
Correct Answer: Keratin
Solution : The correct option is - Keratin
The majority of the cells of the skin's epidermis, nails, and hair are made of the fibrous protein keratin. It also helps with the formation of animal horns and hooves, bird feathers and beaks, and fish scales and crab
Question : The third proportional to 4 and 6 is:
Option 1: 9
Option 2: 16
Option 3: 6
Option 4: 36
Correct Answer: 9
Solution : The third proportional to $a$ and $b$ = $\frac{b^2}{a}$ The third proportional to 4 and 6 = $\frac{6^2}{4}$ = $\frac{36}{4}$ = 9 Hence, the correct answer is 9.
Question : ‘Padma Vibhushan’ winner Pandit Birju Maharaj was a famous _____ dancer.
Option 1: Odissi
Option 2: Kathak
Option 3: Bharatanatyam
Option 4: Manipuri
Correct Answer: Kathak
Solution : The correct option is Kathak.
Renowned Indian classical dancer Pandit Birju Maharaj was especially well-known for his proficiency in Kathak, a traditional dance style that has its roots in North India. Exquisite footwork, elegant motions, and emotional narrative through dance are characteristics of Kathak.
Question : The average of 7 consecutive odd numbers is A. If the next 3 and the previous 2 odd numbers to these 7 odd numbers are also included, what is the new average of these 12 consecutive odd numbers?
Option 1: A + 1
Option 2: A – 2
Option 3: A + 2
Option 4: A + 3
Correct Answer: A + 1
Solution : 7 consecutive odd numbers as $x, x+2,x+4, x+6,x+8, x+10, x+12$. So, A = $x+6$ (Midterm is the average) Since the average of 7 consecutive odd numbers is A, so the sum of these numbers is 7A ⇒ The next 3 odd numbers are
Question : Select the most appropriate option to fill in the blank. He was a ______ man and had no wish to be rich.
Option 1: poverty
Option 2: poorly
Option 3: poor
Option 4: poorer
Correct Answer: poor
Solution : The third option is the correct answer.
"Poor" typically refers to having little or insufficient wealth or material possessions, which aligns with the meaning conveyed in the sentence.
Therefore, the complete sentence is: He was a poor man and had no wish to be rich.
Question : In measuring the sides of a rectangle, there is an excess of 5% on one side and a 2% deficit on the other. Then the error percentage in the area is:
Option 1: 3.3%
Option 2: 3.0%
Option 3: 2.9%
Option 4: 2.7%
Correct Answer: 2.9%
Solution : Given: In measuring the sides of a rectangle, there is an excess of 5% on one side and a 2% deficit on the other. We will use the successive percentage change formula. $\therefore$ Required percentage = $(5-2-\frac{5×2}{100})=(3-0.1)=2.9$% Hence, the correct answer is 2.9%.
Question : The two adjacent sides of a parallelogram are 12 cm and 5 cm respectively. If one of the diagonals is 13 cm long, then what is the area of the parallelogram?
Option 1: 60 cm2
Option 2: 30 cm2
Option 3: 75 cm2
Option 4: 25 cm2
Correct Answer: 60 cm2
Solution : In $\triangle$ABC, AB = 12 cm, BC = 5 cm and AC = 13 cm The semiperimeter ($s$) = $\frac{12+5+13}{2}$ = 15 cm So, the area of $\triangle$ABC = $\sqrt{15(15-13)(15-12)(15-5)}$ = $\sqrt{15×2×3×10}$ = 30 cm2 Now, the area of the parallelogram ABCD
Question : Directions: Amongst seven girls I, II, III, IV, V, VI, and VII, each has a different age. VI is older than only III. II is younger than only VII. IV is older than four other girls. I is younger than V. Who is the fourth oldest among the girls?
Option 1: IV
Option 2: VI
Option 3: III
Option 4: V
Correct Answer: V
Solution : Given: (I) II is younger than only VII. VI is older than only III. VII > II > __ > __ > __ > VI > III (II) IV is older than four other girls. I is younger than V. VII > II > IV
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