Staff Selection Commission Multi Tasking Staff Exam
Question : What is the value of X? $X=\frac{7}{5}+\left\{\frac{1}{5}-\frac{1}{3}\right\} \times \frac{5}{2}$
Option 1: $\frac{16}{15}$
Option 2: $\frac{17}{15}$
Option 3: $\frac{15}{16}$
Option 4: $\frac{19}{15}$
Correct Answer: $\frac{16}{15}$
Solution : $X=\frac{7}{5}+\left\{\frac{1}{5}-\frac{1}{3}\right\} \times \frac{5}{2}$ ⇒ $X=\frac{7}{5}+\frac{-2}{15}\times \frac{5}{2}$ ⇒ $X=\frac{7}{5}+\frac{-2}{15}\times \frac{5}{2}$ ⇒ $X= \frac{7}{5} - \frac{1}{3}$ ⇒ $X= \frac{21}{15} - \frac{5}{15}$ ⇒ $X= \frac{16}{15}$ Hence, the correct answer is $\frac{16}{15}$.
Question : The statement below has been given in bracketed text. Select the option with the correct idiom for the bracketed text. His mother and I (share the same opinion) about his decision to drop out of college.
Option 1: see eye to eye
Option 2: feel blue
Option 3: leave no stone unturned
Option 4: paint the town red
Correct Answer: see eye to eye
Solution : The first option is the correct choice.
See eye to eye is an idiom that means to agree with or have the same opinion as someone else. It is used in situations where two or more people have a mutual understanding or
Question : After allowing a 15 % discount, a dealer wishes to sell a motor for INR 3570. What should be the marked price of the motor?
Option 1: INR 3900
Option 2: INR 4000
Option 3: INR 4200
Option 4: INR 4800
Correct Answer: INR 4200
Solution : Selling price = INR 3570 Discount = 15% of marked price Marked price = discount + selling price ⇒ 85% of marked price = 3570 ⇒ Marked price = $\frac{3570}{0.85}$ = INR 4200 Hence, the correct answer is INR 4200.
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : The sum of three numbers is 126. If the ratio of the first to third is 3 : 7 and that of the second to third is 4 : 7, then what is the second number?
Option 1: 36
Option 2: 27
Option 3: 63
Option 4: 56
Correct Answer: 36
Solution : Let the three numbers as $a, b,$ and $c,$ respectively. Given that the sum of the three numbers is 126, we have: $a + b + c = 126$ --------------------(1) It's also given that the ratio of the first to third is 3 : 7
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 7, 16, 27, 40, 55, ?
Option 1: 70
Option 2: 72
Option 3: 81
Option 4: 66
Correct Answer: 72
Solution : Given: 7, 16, 27, 40, 55, ?
Add consecutive odd numbers starting from 9 in each number, to get the next number in the series – 7 + 9 = 16; 16 + 11 = 27; 27 + 13 = 40; 40 + 15 =
Question : What is the value of 28 × 25 ÷ 7 × 15 + 63 × 56 ÷ 72 × 5 + 24 × 7 + 8?
Option 1: 2101
Option 2: 1821
Option 3: 1921
Option 4: 1901
Correct Answer: 1921
Solution : $28 × 25 ÷ 7 × 15 + 63 × 56 ÷ 72 × 5 + 24 × 7 + 8$ $= 28 × \frac{25}{7} × 15 + 63 × \frac{56}{72} × 5 + 24 × 7 + 8$ $=1500+245+168+8$ $=1921$ Hence, the correct answer
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All scales are pencils. Some pencils are erasers. Conclusions: I. Some scales are erasers. II. Some pencils are scales.
Option 1: Both I and II follow
Option 2: Only II follows
Option 3: Only I follows
Option 4: Neither I nor II follows
Correct Answer: Only II follows
Solution : The possible Venn diagram according to the given statements is as follows – Let's analyse the conclusions – Conclusion I: Some scales are erasers – From the Venn diagram, it is evident that there is no definite relation between scales and erasers. Thus,
Question : Find the smallest number which when divided by 19 and 23 gives remainders of 13 and 17 respectively.
Option 1: 419
Option 2: 429
Option 3: 431
Option 4: 437
Correct Answer: 431
Solution : The difference between divisor and remainder, i) 19 – 13 = 6 ii) 23 – 17 = 6 The difference between the divisor and remainder is the same. The LCM of 19 and 23 is 437. To get the smallest number, which gives the remainder
Question : In a water-lifting electric pump, we convert
Option 1: electrical energy into potential energy
Option 2: kinetic energy into electrical energy
Option 3: kinetic energy into potential energy
Option 4: electrical energy into kinetic energy
Correct Answer: electrical energy into potential energy
Solution : The correct option is electrical energy into potential energy.
Energy is converted from electrical energy to potential energy in a water-lifting electric pump. The pump's electric motor turns this electrical energy into mechanical energy, which is then used to physically
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