Staff Selection Commission Combined Graduate Level Exam
Question : A vessel contains 20 L of acid. 4 L of acid is taken out of the vessel and replaced by the same quantity of water. Next, 4 L of the mixture is withdrawn and again the vessel is filled with the same quantity of water. The ratio of the quantity of acid left in the vessel with the quantity of acid initially in the vessel is:
Option 1: 4 : 5
Option 2: 4 : 25
Option 3: 16 : 25
Option 4: 1 : 5
Correct Answer: 16 : 25
Solution : Here, Remaining acid = Initial quantity × $(1–\frac{\text{Quantity taken out}}{\text{Original quantity}})^{\text{number of times removed}}$ ⇒ Remaining acid $=20×(1-\frac{4}{20})^2=20×\frac{4}{5}×\frac{4}{5}= 12.8$ L So, the required ratio = (12.8) : (20) = 128 : 200 = 16 : 25 Hence, the correct answer is 16 :
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 55 * 63 * 9 * 8 * 3 = 38
Option 1: ÷, ×, –, +
Option 2: ×, ÷, +, –
Option 3: +, –, ×, ÷
Option 4: +, ÷, –, ×
Correct Answer: +, ÷, –, ×
Solution : Given: 55 * 63 * 9 * 8 * 3 = 38
Let's check the given options – First option: ÷, ×, –, + ⇒ 55 ÷ 63 × 9 – 8 + 3 = 38 Solving the L.H.S. of the equation
Question : Select the INCORRECTLY spelt word.
Option 1: Texture
Option 2: Slege
Option 3: Savoury
Option 4: Tamper
Correct Answer: Slege
Solution : The correct choice is the second option.
The correct spelling is sledge. It is an object or a vehicle that has long narrow strips of wood or metal under it and is used for travelling on snow.
The meanings of the other options
Question : In which of the following Sessions of the IOC Executive Board Meeting was Brisbane voted to host the 2032 Olympics and Paralympics?
Option 1: 139th Session held in Beijing
Option 2: 138th Session held in Tokyo
Option 3: 137th Session held in Lausanne
Option 4: 140th Session held in India
Correct Answer: 138th Session held in Tokyo
Solution : The correct option is the 138th Session held in Tokyo.
Brisbane was chosen to host the 2032 Olympics and Paralympics at the 138th Session of the IOC Executive Board Meeting on July 21, 2021, in Tokyo, Japan. The
Question : The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is:
Option 1: 14 cm
Option 2: 12 cm
Option 3: 15 cm
Option 4: 24 cm
Correct Answer: 24 cm
Solution : The radii of the circles are 15 cm and 13 cm. Distance between the centres = 14 cm AB = 15 cm and BC = 13 cm, and AC = 14 cm Let OC = $x$ and AO = $(14 - x)$ Now in
Question : The initial profit percentage on the sale of an item was 55%. If the item's cost price went up by 24%, but the selling price remained the same, what would be the new profit percentage?
Option 1: 36%
Option 2: 25%
Option 3: 28%
Option 4: 33%
Correct Answer: 25%
Solution : Let the cost price of an article be 100. ⇒ profit = 100 × 55% = 55 Now, selling price = 100 + 55 = 155 New cost price = 100 + 100 × 24% = 124 So, new profit = 155 – 124 =
Question : Directions: Select the option that represents the letters that, when placed from left to right in the given blanks, will complete the letter series. NOP_QNO_IQN_PHQ_OPG_
Option 1: PJNOQ
Option 2: JPONQ
Option 3: PJONO
Option 4: JPQNO
Correct Answer: JPONQ
Solution : Given: NOP_QNO_IQN_PHQ_OPG_
To fill the series we have to divide the series – NOP_Q / NO_IQ / N_PHQ / _OPG_ Let's check each option – First option: PJNOQ; NOPPQ / NOJIQ / NNPHQ / OOPGQ (No repeated
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Ant : Antling :: Deer : ?
Option 1: Pup
Option 2: Fawn
Option 3: Cub
Option 4: Foal
Correct Answer: Fawn
Solution : Given: Ant : Antling :: Deer : ?
Like, Antling is the miniature ant or baby ant. Similarly, the young Deer is a Fawn.
Hence, the second option is correct.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number. The air has become very dirty in (1)______ parts of the world. This is of course (2)______ to your health. Experts say many people die (3)______ it each year. There is a new study on (4)______ pollution which comes from the experts of the World Health Organization (WHO) (5)______ is an agency of the United Nations. If you (6)______ unhealthy air for a long period of time, you could (7)______ sick. Air pollution has been linked to many diseases (8)______stroke and cancer. The WHO says that seven million (9)______ die each year as a result of the (10)______ air. Question: Select the most appropriate option to fill in the blank no. 9.
Option 1: human
Option 2: individual
Option 3: people
Option 4: person
Correct Answer: people
Solution : The right choice is the third option.
Explanation: The use of people in the sentence is appropriate because it refers to a collective number of individuals, specifically seven million, as mentioned by the World Health Organization. It conveys the scale of the statistics
Question : A shopkeeper purchased a chair marked at Rs. 600 at two successive discounts of 15% and 20% respectively. He spent Rs. 28 on transportation and sold the chair for Rs. 545. His gain percentage was:
Option 1: 25%
Option 2: 30%
Option 3: 35%
Option 4: 20%
Solution : (Single equivalent discount = $(a+b-\frac{a\:×\:b}{100}$)%, where $a$% and $b$% are successive discounts.) Single equivalent discount = $(15+20-\frac{15\:×\:20}{100}$)= 32% After two successive discount cost price = 600 $\times$ 68% = 408 Total cost = 408 + 28 = 436 Selling price = 545 Gain percent =
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