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Staff Selection Commission Combined Graduate Level Exam

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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 Next, 4 L of the mixture is withdrawn and again the vessel is filled with the same quantity of water.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

Team Careers360 23rd Jan, 2024

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 :

16 Views

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:  +, ÷, –, × 

Team Careers360 18th Jan, 2024

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

36 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Texture 

Option 2: Slege

Option 3: Savoury

Option 4: Tamper

Team Careers360 18th Jan, 2024

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

25 Views

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

Team Careers360 22nd Jan, 2024

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

352 Views

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

Team Careers360 20th Jan, 2024

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

27 Views

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%

Team Careers360 21st Jan, 2024

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 =

102 Views

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

Team Careers360 21st Jan, 2024

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

25 Views

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%

Team Careers360 17th Jan, 2024

Correct Answer: 25%


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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