Fleming’s Left-Hand Rule is used to determine the direction of motion in an electric motor. Which finger represents the direction of the force or motion?
a.
Little finger
b.
Middle finger
c.
Thumb
d.
Index finger
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A person is standing in a bus that suddenly stops. The person tends to fall forward. Which of the following laws of motion is directly responsible for this phenomenon?
a.
Newton's First Law of Motion.
b.
The Law of Conservation of Momentum.
c.
Newton's Second Law of Motion.
d.
Newton's Third Law of Motion.
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Pushpraj and Himani together invested ₹17,800 in a business. At the end of the year, out of a total profit of ₹5,600, Pushpraj's share was ₹2,100. What was the investment of Pushpraj?
a.
₹6,090
b.
₹4,720
c.
₹7,690
d.
₹6,675
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In a bag containing red, green and pink tokens, the ratio of red to green tokens was 14 : 8 while the ratio of pink to red tokens was 2 : 6. What was the ratio of green to pink tokens? 5288
a.
7 : 12
b.
12 : 7
c.
11 : 14
d.
9 : 11
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A 24-metre-long wire is broken into three pieces. The largest piece has length thrice the length of the smallest piece. The difference between lengths of two larger pieces is equal to the difference between the lengths of two smaller pieces. The length of the largest piece is ____ metres.
a.
12
b.
10
c.
15
d.
18
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A solid metallic sphere of radius 10.5 cm is melted and recast into smaller spherical balls, each of radius 3.5 cm. Find the ratio of the total surface area of all the smaller spheres to the surface area of the original sphere.
a.
6 : 1
b.
12 : 1
c.
9 : 1
d.
3 : 1
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A credit card payment that will settle a bill for 250 mixers at ₹1,014 per mixer with successive discounts of 30% and 15%, with a further discount of 20% on card payment, is:
a.
₹1,20,664
b.
₹1,20,666
c.
₹1,20,696
d.
₹1,20,678
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The average age of 35 students of a class is 13 years. If the age of the teacher is also included, the average age of the whole group becomes 14 years. The age (in years) of the teacher is:
a.
53
b.
49
c.
51
d.
47
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The income of Raman is ₹12,000. He saves 27% of his income. If his income increases by 20% and expenditure increases by 15%, then his savings will: 4747
a.
decrease by ₹1,089
b.
decrease by ₹1,085
c.
increase by ₹1,088
d.
increase by ₹1,086
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Shubham starts from Point A and drives 10 km towards West. He then takes a right turn, drives 8 km, turns right and drives 14 km. He then takes a right turn and drives 12 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
a.
5 km to the North
b.
4 km to the North
c.
5 km to the South
d.
4 km to the South
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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 conclusions logically follow(s) from the statements. Statements: Some shade are roof. All ceiling are roof. Conclusions: (I): Some shade are ceiling. (II): All roof are ceiling.
a.
Only conclusion (II) follows.
b.
Only conclusion (I) follows.
c.
Neither conclusion (I) nor (II) follows.
d.
Both conclusions (I) and (II) follow.
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Refer to the following number series and answer the question that follows (all numbers are single-digit numbers only). Counting to be done from left to right only. (Left) 1 2 4 5 7 2 9 6 7 3 4 1 6 6 9 8 4 7 6 1 7 3 4 9 7 (Right) How many such numbers are there, each of which is immediately preceded by a perfect square and also immediately followed by an odd number? (Note: 1 is also a perfect square)?
a.
One
b.
Four
c.
Three
d.
Two
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Rashmi starts from Point A and drives 5 km towards west. She then takes a right turn, drives 4 km, turns right and drives 3 km. She then takes a left turn and drives 4 km. She takes a final right turn, drives 2 km and stops at Point P. How far (shortest distance) and towards which direction should she drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
a.
4 km towards north
b.
6 km towards east
c.
8 km towards west
d.
8 km towards south
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Select the set in which the numbers are related in the same way as are the numbers of the following 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.) (39, 117, 13) (48, 99, 1)
a.
(8, 42, 10)
b.
(35, 138, 24)
c.
(27, 117, 21)
d.
(19, 106, 24)
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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? 104 − 176 × 16 ÷ 9 + 192 = ?
a.
11
b.
14
c.
12
d.
18
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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? 409 ÷ 2 + 416 × 8 − 76 = ?
a.
843
b.
842
c.
844
d.
841
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The Union Minister of Communications, Mr. Jyotiraditya Scindia, during his keynote at the World Wi-Fi Day Conference in June 2025, projected Wi-Fi to become a ₹1,83,000 crores (US$ 21.2 billion) sector in India by ______.
a.
2045
b.
2035
c.
2030
d.
2040
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