Graduate Aptitude Test in Engineering
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.) (9, 7,189) (4, 13, 156)
Option 1: (5, 9, 160)
Option 2: (6, 9, 162)
Option 3: (8, 5,125)
Option 4: (7, 8, 188)
Correct Answer: (6, 9, 162)
Solution : Given: (9, 7,189); (4,13,156)
The product of the first and second numbers is multiplied by 3, to get the third number – ⇒ (9, 7,189)→(9 × 7) × 3 = 189 ⇒ (4, 13,156)→(4 × 13) × 3 = 156
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Question : Directions: Find the missing number from the given responses in the following question.
Option 1: 5052
Option 2: 5100
Option 3: 5094
Option 4: 4860
Correct Answer: 5100
Solution : Multiply the given numbers by 3 and then add 6 to the resultant number to obtain the next number (pattern starting from 18).
(18 × 3) + 6 = 54 + 6 = 60 (60 × 3) + 6 = 180 + 6 = 186
Question : A swimming pool has 3 drain pipes. The first two pipes A and B, operating simultaneously, can empty the pool in half the time that C, the 3rd pipe, alone takes to empty it. Also pipe A, working alone, takes half the time taken by pipe B. Together they take 6 hours 40 minutes to empty the pool. The time taken by pipe A to empty the pool, (in hours) is:
Option 1: 15 hours
Option 2: 10 hours
Option 3: 30 hours
Option 4: 7 hours
Correct Answer: 15 hours
Solution : Let the time taken by pipe B to empty the tank = $2x$ hours Time taken by pipe A to empty the tank = $x$ hours (A and B) takes half of the time that C takes. ⇒$\frac{2}{\frac{1}{2x}+\frac{1}{x}}=\frac{2}{\frac{1+2}{2x}}$= $\frac{4x}{3}$ hours Pipes A, B, and
Question : A city primarily known for its financial services and banking sector would be classified as a:
Option 1: Industrial city
Option 2: Financial hub
Option 3: University town
Option 4: Tourist destination
Correct Answer: Financial hub
Solution : Correct Option: Option 2 Explanation: A financial hub is an urban settlement that is primarily known for its financial services and banking sector, serving as a center for economic transactions.
Question : The marked price of an article is INR 28,000. It can be sold in one of the following ways: Way A: A single discount of 24%. Way B: Two successive discounts of 16% and 10%. Which way will have the lowest selling price and what will be the value of it?
Option 1: Way A, INR 21,168
Option 2: Way B, INR 21,280
Option 3: Way A, INR 21,280
Option 4: Way B, INR 21,168
Correct Answer: Way B, INR 21,168
Solution : Given: The marked price of an article is INR 28,000. Use the formula, $SP=(1-\frac{d_1}{100})\times (1-\frac{d_2}{100})\times MP$ where $SP, d_1, d_2$ and $MP$ are the selling price, the discount percentages, and the marked price. For the Way A, $SP=1–\frac{24}{100}\times 28000$ ⇒ $SP=\frac{100–24}{100}\times 28000$
Question : In which of the following techniques of scientific management Taylor lead the separation of planning and execution functions?
Option 1: Functional formanship
Option 2: Motion study
Option 3: Time study
Option 4: Differential piece wage system
Correct Answer: Functional formanship
Solution : According to this technique the task for supervision is divided into several specialised function and each function is entrusted to a specialist formen.
Hence, option A is correct.
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. 1. Rangle 2. Regal 3. Royal 4. Room 5. Rested
Option 1: 15432
Option 2: 45312
Option 3: 12543
Option 4: 13542
Correct Answer: 12543
Solution : Given: 1. Rangle 2. Regal 3. Royal 4. Room 5. Rested
Step 1: Compare the first letter of each word. Since all the words start with the same letter R, then move to the next letter. Step 2: The second letter of each word
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