Staff Selection Commission Multi Tasking Staff Exam
Question : A man can row 12 km/hr in still water. It takes him 4 times as long to row up as to row down the river. The speed of the stream is:
Option 1: 7.2 km/hr
Option 2: 3.6 km/hr
Option 3: 9.8 km/hr
Option 4: 4.9 km/hr
Correct Answer: 7.2 km/hr
Solution : Let the speed of the stream as $v$ km/hr. When the man rows downstream (with the current), his effective speed is (12 + $v$) km/hr. When he rows upstream (against the current), his effective speed is (12 – $v$) km/hr. Given that it takes
Question : Who among the following Indian singers is addressed as the Nightingale of India?
Option 1: Lata Mangeshkar
Option 2: Shreya Ghoshal
Option 3: Arijit Singh
Option 4: Sunidhi Chauhan
Correct Answer: Lata Mangeshkar
Solution : The correct option is Lata Mangeshkar
Lata Mangeshkar, renowned as the 'Nightingale of India,' stood out as one of the most versatile singers in the Indian film industry. With a career spanning almost eight decades, her melodious contributions extended to over 5,000 songs featured
Question : Directions: Select the option related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 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 /deleting/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) 125: 25:: 64: 16:: 216: ?
Option 1: 36
Option 2: 24
Option 3: 22
Option 4: 39
Correct Answer: 36
Solution : Given: 125: 25:: 64: 16:: 216: ?
The cube root of the first number is equal to the square root of the second number – Like in, 125 : 25 → 53 : 52 = 125 : 25 And in, 64: 16 →
Question : The marked price of the car is Rs. 6,00,000. Rahul buys that car at two successive discounts of 30% and 20%. If after using the car, he sells the car for Rs. 4,78,000, then what is the profit percentage?
Option 1: 39.87%
Option 2: 36.85%
Option 3: 33.33%
Option 4: 42.26%
Correct Answer: 42.26%
Solution : Single equivalent discount = $(x+y-\frac{xy}{100}$)% where $x$ and $y$ are two successive discounts. So, two successive discounts of 30% and 20% are equivalent to (30 + 20 – $\frac{30×20}{100}$) = 44% Purchased price = Marked price – 44% of Marked price = 600000 – 0.44
Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Let $x$ km/hr be the speed of the boat in still water and $y$ km/hr be the speed of the current. The speed of the boat downstream = $(x+y)$ km/hr The speed of the boat in upstream = $(x–y)$ km/hr The distance travelled upstream =
Question : Which of the following machines was designed by Charles Babbage?
Option 1: Analytical Engine
Option 2: Arithmetic Engine
Option 3: Tabulating Machine
Option 4: Punched card
Correct Answer: Analytical Engine
Solution : The correct option is the Analytical Engine.
Charles Babbage, an English inventor who died in 1871, conceived and partially constructed the Analytical Engine, which is usually regarded as the first computer. Babbage started imagining methods to enhance the difference engine, a less complex
Question : Select the most appropriate option to fill in the blank.
You need to put the baby very _____ on the bed.
Option 1: much gently
Option 2: gently
Option 3: more gentle
Option 4: gentle
Correct Answer: gently
Solution : The correct choice is the second option.
Gently means in a kind, tender manner. The sentence already contains a modifier, and thus, no other word other than an adverb is necessary. This helps convey the intended meaning that the baby needs to be put
Question : In an examination out of 6000 students, 60% of boys and 90% of girls passed. If the total pass percentage was 65%, then what would be the number of boys?
Option 1: 3500
Option 2: 5000
Option 3: 4500
Option 4: 5500
Correct Answer: 5000
Solution : Let the number of boys be $x$ The number of girls = 6000 – $x$ Now, 60% of $x$ + 90% of (6000 - $x$) = 65% of 6000 ⇒ 0.6$x$ + 0.9(6000 – $x$) = 0.65 × 6000 ⇒ 0.6$x$ + 5400 – 0.9$x$
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by 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. R can be represented by 02, 21, etc. and B can be represented by 57, 76, etc. Similarly, you have to identify the set for the word KJAT.
MATRIX I
MATRIX II
Option 1: 04, 79, 20, 87
Option 2: 11, 67, 23, 75
Option 3: 30, 86, 01, 67
Option 4: 23, 89, 20, 87
Correct Answer: 04, 79, 20, 87
Solution : Given: KJAT
Number representations of each letter – K→04, 11, 23, 30, 42 J→55, 67, 79, 86, 98 A→01, 13, 20, 32, 44 T→56, 68, 75, 87, 99
First option: 04, 79, 20, 87; All the letters of the word KJAT can
Question : The value of $(\sqrt {4^3+15^2})^3$ is:
Option 1: 4913
Option 2: 4313
Option 3: 4193
Option 4: 3943
Correct Answer: 4913
Solution : $(\sqrt {4^3+ 15^2})^3$ $=(\sqrt {64+225})^3$ $=(\sqrt {289})^3$ $=(17)^3$ $=4913$ Hence, the correct answer is 4913.
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