Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the option in which the number-pair shares the same relationship as that is shared by the following number-pair. 7 : 31
Option 1: 11 : 37
Option 2: 11 : 28
Option 3: 11 : 47
Option 4: 11 : 12
Correct Answer: 11 : 47
Solution : Given: 7 : 31
Multiply the first number by 4 and then add 3 to it, to get the second number in each pair – 7 : 31→(7 × 4) + 3 = 28 + 3 = 31
Let's check the options –
Question : Directions: By folding the given paper, which of the following boxes cannot be made?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs of faces
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. _QRS_QRSPQ_SPQ_S
Option 1: PPRR
Option 2: PQRS
Option 3: PPQQ
Option 4: RRSQ
Correct Answer: PPRR
Solution : Given: _QRS_QRSPQ_SPQ_S
To fill the series we have to divide the series – _QRS / _QRS / PQ_S / PQ_S Let's check each option – First option: PPRR; PQRS / PQRS / PQRS / PQRS (PQRS is repeated in
Question : A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is:
Option 1: 3 litres
Option 2: 4 litres
Option 3: 15 litres
Option 4: 10 litres
Correct Answer: 10 litres
Solution : Given: A mixture contains alcohol and water in the ratio 4 : 3. Let the quantity of alcohol and water be $4x$ and $3x$, respectively. Now, as per given conditions: $\frac{4x}{3x+5}=\frac{4}{5}$ ⇒ $20x=12x+20$ ⇒ $8x=20$ ⇒ $2x=5$ $\therefore$ Quantity of alcohol = $4x$ =
Question : The ratio of time taken to complete a work by a man and a woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone?
Option 1: 20 days
Option 2: 40 days
Option 3: 60 days
Option 4: 30 days
Correct Answer: 60 days
Solution : A man and a woman can complete the work together in 24 days. Time = $\frac{\text{Work}}{\text{Efficiency}}$ Time is inversely proportional to efficiency. ⇒ Ratio of time taken = $2 : 3$ $\therefore$ Ratio of efficiencies = $3 : 2$ Total work = $(3 +
Question : A certain number of persons can complete a work in 90 days. If there were 10 persons less, it would have taken 10 days more for the work to be completed. Find the total number of persons in the beginning.
Option 1: 90
Option 2: 110
Option 3: 85
Option 4: 100
Correct Answer: 100
Solution : Given, Time taken by a certain number of persons = 90 days The difference in days if 10 persons less = 10 days Let the number of persons present initially be $x$. Now, the Work done is the same ⇒ $x\times90 = (x-10)\times100$ ⇒ $90x
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.) (34, 17, 51) (46, 23, 69)
Option 1: (68, 34, 204)
Option 2: (54, 27, 108)
Option 3: (72, 36, 108)
Option 4: (44, 22, 88)
Correct Answer: (72, 36, 108)
Solution : Given: (34, 17, 51); (46, 23, 69)
Multiply the second number by 2 to obtain the first number and multiply the second number by 3 to obtain the third number in the given set of numbers – (34, 17, 51)→17 × 2 =
Question : The duration 19-21 days refers to?
Option 1: incubation period of hen’s egg
Option 2: average life-span of a red blood cell in humans
Option 3: the period of menstrual cycle soon after menstruation, during which fertilization is most likely to occur
Option 4: period of completion of one schizogony cycle of malarial parasite inside a red blood cell
Correct Answer: the period of menstrual cycle soon after menstruation, during which fertilization is most likely to occur
Solution : The correct answer is the period of menstrual cycle soon after menstruation, during which fertilization is most likely to occur.
The period of 19-21 days often refers to the phase
Question : X, Y, and Z are three equilateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm respectively, then what is the side length of Z?
Option 1: 10 cm
Option 2: 10.5 cm
Option 3: 9.5 cm
Option 4: 9 cm
Correct Answer: 10 cm
Solution : X, Y, and Z are three equilateral triangles. The side of X = 6 cm The side of Y = 8 cm Area of a equilateral triangle = $\frac{\sqrt{3}}{4}a^2$, where $a$ = side According to the question, AreaX + AreaY = Area
Question : Chabahar Port is developed by India in ___________.
Option 1: Thailand
Option 2: Iran
Option 3: Iraq
Option 4: Sri Lanka
Correct Answer: Iran
Solution : The correct answer is Iran.
Chabahar port is located in Iran and is jointly developed by India and Iran. It is a strategic port located in the Gulf of Oman, and it forms a point in the international shipping routes. It will allow India
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