The sum of the ages of a grandfather, his son, and his grandson is 128 years. The grandfather is twice as old as his son, and the son is five times as old as the grandson. Determine the age (in years) of the grandson.
a.
8
Correct Answer
b.
6
c.
9
d.
7
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Q2mcq
Neha swims in a pool that is 50 metres long. She covers 100 metres in 1 minute by swimming from one end of the pool to the other and back along the same straight path. Find her average velocity (in m/s).
a.
0 m/s
Correct Answer
b.
3.2 m/s
c.
2.5 m/s
d.
1.7 m/s
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Q3mcq
The resistance of a particular material wire with length L and cross-sectional area A is 2 Ω. What would be the resistance of another wire of the same material having length 2L and area of cross-section A/2?
a.
8 Ω
Correct Answer
b.
4 Ω
c.
2 Ω
d.
1 Ω
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Q4mcq
A car starts from New Delhi and travels to Agra. The distance between the two cities is 300 km. The car travels back to New Delhi. What is the total distance travelled and the displacement of the car? (Assume the car reaches the same point and the route followed is exactly same for both travels.)
a.
Distance travelled is 0 km and displacement is 600 km
b.
Distance travelled is 300 km and displacement is 0 km
c.
Distance travelled is 0 km and displacement is 0 km
d.
Distance travelled is 600 km and displacement is 0 km
Correct Answer
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Q5mcq
A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 6. F lives on an even-numbered floor but not on floor 6. The sum of the floors on which D and F live is 9. The sum of the floors on which F and B live is 5. E lives immediately below C. How many people live between D and E?
a.
2
Correct Answer
b.
1
c.
4
d.
3
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Q6mcq
Identify the correct pair of Personal Protective Equipment (PPE) categories based on the nature of the hazard.
a.
Non-respiratory: Safety helmet, Respiratory: Nose mask
Correct Answer
Non-respiratory: Nose mask, Respiratory: Safety boots
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Q7mcq
A, B, C, D, E, F and G are sitting around a circular table facing the centre. Only two people sit between G and C when counted from the left of C. F sits third to the left of E. B sits to the immediate right of E. B sits second to the left of G. D is an immediate neighbour of F. How many people sit between A and C when counted from the right of C?
a.
1
b.
4
c.
2
Correct Answer
d.
3
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Q8mcq
There is a rectangular sheet whose dimensions are 15.2 cm ± 0.1 cm in length and 9.1 cm ± 0.1 cm in width. What is the error in the estimation of the area of the rectangular sheet?
a.
0.3 cm 2
b.
2 cm 2
Correct Answer
c.
13 cm 2
d.
5 cm 2
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Q9mcq
In a project involving the design of a pipeline for a building, which technical drawings would need to be referenced together?
a.
Electrical and Electronics
b.
Mechanical and Electrical
c.
Mechanical and Civil
Correct Answer
d.
Civil and Electronics
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Q10mcq
If 46.4 : x :: x : 2.9, and x > 0, then find the value of x.
a.
14.3
b.
15.6
c.
11.6
Correct Answer
d.
13.4
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A train goes from A to B at a speed of 40 km/hr and returns from B to A by the same route at 10 km/hr. The average speed (in km/hr) of the train during the two-way journey is:
a.
15
b.
19
c.
16
d.
14
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In a certain code language, ‘while you wait’ is coded as ‘ns bg sp’ and ‘why wait now’ is coded as ‘kc rw bg’. How is ‘wait’ coded in the given language?
a.
bg
b.
kc
c.
ns
d.
sp
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Reeta invests a certain sum of money at a certain rate of simple interest per annum, and the interest she gets is equal to one-fourth of the sum invested. If the time period (in years) of investment is equal to the percentage rate of interest per annum, for how many years did Reeta invest the sum of money?
a.
4
b.
7
c.
5
d.
6
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Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
a.
MS – KB
b.
WC – UL
c.
TZ – RI
d.
DJ – BT
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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is same as that on the right side of ::? (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 to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) X : 179 :: 22 : Y
a.
X = 18, Y = 219
b.
X = 16, Y = 219
c.
X = 15, Y = 223
d.
X = 16, Y = 222
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Given below are two statements numbered I and II. These statements may be independent causes or effects of independent causes or a common cause. One of the statements may be the effect of the other statement. Read both the statements carefully and select the correct answer. Statements: Traffic police has issued a traffic advisory regarding the diversion of traffic for the next two days due to closure of Raj Bhavan Road. The Municipal Corporation is planning to repair the pot holes in Raj Bhavan Road tomorrow.
a.
Both I and II are independent causes.
b.
II is the cause and I is its possible effect.
c.
Both I and II are effects of independent causes.
d.
I is the cause and II is its possible effect.
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Kaushik starts from Point A and walks 32 m towards the east. He takes a right turn, walks 16 m and then takes a right turn, walks 14 m, reaches Point B and stops. Chitra starts from Point Z which is 60 m towards the east of Point A. She walks 18 m towards north, takes a right turn, walks 19 m, turns right and walks 65 m, turns right and walks 61 m and stops at Point Y. What is the shortest distance between Point B and Point Y? (All turns are 90 degree turns only.)
a.
29 m
b.
33 m
c.
25 m
d.
31 m
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A, B, C and D are four partners in a business. A's investment is two-thirds of D's investment. B and C invest equal amounts, and C's investment is half of D's investment. If they earn ₹137.6 lakh at the end of one year, then find the total share (in ₹ lakh) of A and B put together.
a.
60.2
b.
62.2
c.
59.2
d.
63.2
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Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : EAG :: IEK : %
a.
# = FBH, % = HDJ
b.
# = FBG, % = HDJ
c.
# = FBH, % = HDI
d.
# = FBH, % = HEJ
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Refer to the following letter and symbol series and answer the question that follows. Counting to be done from left to right only. (Left) ^ T J # L R Ω Y # E % S U $ K Q & * £ B (Right) How many such symbols are there each of which is immediately preceded by a letter and also immediately followed by another symbol?
a.
Four
b.
One
c.
Two
d.
Three
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A man purchased two varieties of apples at the rate of ₹4 for 5 apples and ₹4 per apple, respectively. If he purchased an equal number of apples of each variety and then sold all the apples at ₹3 per apple, what will be his profit percentage?
a.
0.23%
b.
0.25%
c.
0.2%
d.
0.24%
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Refer to the following letter and symbol series and answer the question that follows. Counting to be done from left to right only. (Left) ^ T J # L R Ω Y # % S U $ E K Q & * £ B (Right) How many such symbols are there, each of which is immediately preceded by a symbol and also immediately followed by a letter?
a.
One
b.
Four
c.
Two
d.
Three
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Which of the following statements are true regarding general safety in the workshop? Statement 1: Use any available tool for the job, even if it is not the correct one. Statement 2: Keep the tools in their proper place after use. Statement 3: Clean the machine while it is still running. Statement 4: Replace worn-out or damaged tools immediately.
a.
Statements 2 and 4 are true.
b.
Statements 1 and 3 are true.
c.
Statements 3 and 4 are true.
d.
Statements 1 and 2 are true.
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Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results in the third number and so on. Which of the given options follows the same set of operations as in 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 to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 68 – 136 – 121 – 363; 29 – 58 – 43 – 129
a.
13 – 26 – 46 – 138
b.
35 – 70 – 55 – 165
c.
73 – 146 – 114 – 228
d.
42 – 84 – 74 – 222
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A person saves 10% of his monthly income. If his monthly income increases by 30%, then he saves 20% more than the previous savings. The percentage increase in his expenditure, correct to two places after decimal, is _______.
a.
40.44%
b.
37.33%
c.
24.89%
d.
31.11%
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An auto A covers a distance in 2 hours at the speed of 42 km/hr. Another auto B covers twice the distance covered by A in 5 hours. What is the speed of auto B (in km/hr)?
a.
36.3
b.
31.2
c.
34.2
d.
33.6
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The list price of an article is ₹5,100 and a discount of 32% is offered on the list price. What additional discount per cent on the already discounted price must be offered to a customer to bring the net selling price to ₹1,734?
a.
50%
b.
49%
c.
46%
d.
55%
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Which of the following terms describes the process of the gradual increase in the average temperature of the Earth's atmosphere, due to the greenhouse effect caused by increased levels of carbon dioxide, CFCs and other pollutants?
a.
Global warming
b.
Ozone depletion
c.
Acid rain
d.
Deforestation
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Each of I, J, K, L, U, V and W has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. Only two people have the exam before V. Only one person has the exam after L. Only three people have the exam between V and I. Only one person has the exam between J and K. W has the exam immediately before J. Who among the following has the exam on Friday?
a.
V
b.
U
c.
W
d.
I
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In a rare coin collection, there was one gold coin for every five non-gold coins. Then, 18 more gold coins were added to the collection, after which the ratio of gold coins to non- gold coins became 5 : 7. How many coins in all are now there in the collection?
a.
60
b.
75
c.
55
d.
45
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Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R). Assertion (A): It is safe to work under a suspended load if you are in a hurry. Reason (R): Never exceed the safe working load (SWL) of the equipment you are using.
a.
Assertion (A) is false, but Reason (R) is true.
b.
Both (A) and (R) are true, but (R) is not the correct explanation of (A).
c.
Assertion (A) is true, but Reason (R) is false.
d.
Both (A) and (R) are true, and (R) is the correct explanation of (A).
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Samir takes 6 days to complete a piece of work, while Tanvir can complete it in 8 days. If Amir also joins them, together, the trio can complete the entire work in 3 days. If a total sum of ₹2,400 is to be paid for the job, how much will Amir receive for his contribution?
a.
₹430
b.
₹300
c.
₹340
d.
₹250
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In the following triad, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic. GRAND–GRNAD–DNARG
a.
NIGHT–NGHIT–THGIN
b.
INDEX–DEXIN–XDEIN
c.
MINOR–MOINR–RNOIM
d.
FRUIT–FRIUT–TIURF
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A, B, C, D, E, F and G are sitting around a circular table facing the centre. G is sitting second to the left of E. B is sitting third to the right of A. C is the immediate neighbour of both E and B. D is sitting to the immediate left of G. How many people are sitting between E and F when counted from the right of E?
a.
Three
b.
Four
c.
Two
d.
One
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Study the table given below and answer the following question. If one mango was sold for ₹80 by shop Y on Tuesday, what was the amount received by shop Y on Tuesday?
a.
₹2,780
b.
₹2,720
c.
₹2,620
d.
₹2,560
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What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 9 ÷ 5 + 70 × 7 − 11 = ?
a.
46
b.
44
c.
47
d.
45
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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements. Statements: Some cats are rats. All bats are tables. All rats are bats. Conclusions: (I): Some cats are bats. (II): All bats are rats.
a.
Both conclusions (I) and (II) follow.
b.
Only conclusion (I) follows.
c.
Only conclusion (II) follows.
d.
Neither conclusion (I) nor (II) follows.
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In a certain code language, 'A × B' means ‘A is the son of B’, 'A − B' means ‘A is the brother of B’, 'A + B' means ‘A is the wife of B’ and 'A % B' means ‘A is the father of B’. How is M related to T if ‘M × N − P % S + T’?
a.
Wife's father's brother
b.
Wife's father's brother's son
c.
Wife's mother's brother
d.
Wife's mother's brother's son
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In this question, two statements I and II have been given. These statements may be independent causes or effects of independent causes or a common cause. One of the statements may be the effect of the other statement. Read both the statements carefully and select the correct answer. I. The local river's water levels have reached an all-time low this summer, disrupting water supply to the nearby towns. II. Several power plants in the region have reported reduced electricity production due to insufficient water for cooling processes.
a.
I is the cause and II is its possible effect.
b.
II is the cause and I is its possible effect.
c.
Both I and II are effects of independent causes.
d.
Both I and II are independent causes.
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Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
a.
BEWZ
b.
NQIL
c.
RUNP
d.
WZRU
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A capacitor with a capacitance of 10 μF is connected in series with a 1 MΩ resistor. How much time will it take for the capacitor to reach 90% of its final charge?
a.
50.2 seconds
b.
10.5 seconds
c.
35.7 seconds
d.
23.03 seconds
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A 6-pole alternator is running and producing a frequency of 50 Hz. If the frequency is decreased to 20 Hz, how many poles will be required, if the alternator is to be run at the same speed?
a.
4
b.
2
c.
6
d.
8
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What force (effort) will be required to push a load, initially at rest, of mass 500 g, so that at a distance of 20 m, its final velocity is 20 m/sec [Assume that there is no friction and ‘g’ = 10 m/s 2 ].
a.
10 N
b.
10 J
c.
5 N
d.
5 J
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Select the option that is correct regarding the following two statements labelled Assertion (A) and Reason (R). Assertion: The line voltage in a star-connected system is times the phase voltage. Reasoning: In a star connection, the line voltage is the vector sum of the phase voltages, resulting in a factor between them.
a.
Both Assertion and Reason are correct, but the Reason is not the correct explanation for the Assertion.
b.
Assertion is correct, but Reason is incorrect.
c.
Both Assertion and Reason are correct, and the Reason is the correct explanation for the Assertion.
d.
Assertion is incorrect, but Reason is correct.
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Which of the following statements is/are correct? Statement I - The annealing process uses heat to reduce the hardness and increase the ductility and toughness of various steels, cast iron, and alloys. Statement II - Quenching is a rapid cooling process that alters specific properties of materials by manipulating the cooling rate.
a.
Statement (I) is correct but Statement (II) is incorrect.
b.
Statement (I) and (II) both are incorrect.
c.
Statement (I) is incorrect but Statement (II) is correct.
d.
Statement (I) and (II) both are correct.
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