Consider a ray of light travelling obliquely from air into a glass slab. Which of the following statement(s) is/are true? (i) The angle of incidence is smaller than the angle of refraction. (ii) The angle of incidence is greater than the angle of emergence. (iii) The speed of light decreases as the light ray enters from air to glass. (iv) The incident ray and the emergent ray are parallel to each other.
a.
Both (i) and (iv)
b.
Both (i) and (ii)
c.
Both (iii) and (iv)
Correct Answer
d.
Both (ii) and (iii)
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Q6mcq
Select the correct option regarding the following two statements labelled Assertion and Reason. Assertion: Sound waves are non-mechanical waves. Reason: Sound waves require a material medium for their propagation.
a.
Assertion is false but reason is true.
Correct Answer
b.
Both assertion and reason are true and reason is the correct explanation of assertion.
c.
Assertion is true but reason is false.
d.
Both assertion and reason are false.
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Q7mcq
Which of the following correctly explains why gases can be compressed easily compared to solids and liquids?
a.
Gases have high mass and density
b.
Gases do not occupy space
c.
Gases have loosely packed particles with large intermolecular spaces
Correct Answer
d.
Gases have low kinetic energy
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Q8mcq
In reproductive health, the aim of contraception is _________.
a.
to have more babies
b.
to make babies healthy
c.
to prevent unplanned pregnancies
Correct Answer
d.
to make twin babies
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Q9mcq
What is the effective diameter of the circular outline of a spherical lens called?
a.
Focal length
b.
Radius of curvature
c.
Optical centre
d.
Aperture
Correct Answer
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Q10mcq
A bullet of small mass and high velocity can penetrate a target deeper than a heavy stone thrown at the same speed because:
a.
it is smaller in size
b.
it has less inertia
Correct Answer
c.
it has greater mass
d.
it is sharper
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Q11mcq
Archimedes' principle states that when a body is immersed in a fluid, it experiences ___________.
a.
A downward force equal to the weight of fluid displaced by the body
b.
An upward force equal to the weight of fluid displaced by the body
Correct Answer
c.
No change in its weight
d.
An upward force equal to the weight of the body
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Q27mcq
a.
76
b.
46
c.
66
Correct Answer
d.
56
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Q28mcq
A camp has provisions for 48 persons for 12 days. In how many days will the same provisions finish off if the strength of the camp is increased to 72 persons?
a.
6
b.
7
c.
11
d.
8
Correct Answer
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Q29mcq
If the ratio of the present ages of Parul and her mother is 5 : 13 and the product of their ages is 585, find the ratio of their ages after 9 years.
a.
3 : 5
b.
1 : 2
Correct Answer
c.
2 : 5
d.
4 : 7
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In a bag containing red, green and pink tokens, the ratio of red to green tokens was 9 : 6, while the ratio of pink to red tokens was 18 : 16. What was the ratio of green to pink tokens? 5287
a.
16 : 27
b.
15 : 23
c.
17 : 28
d.
14 : 31
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The average age of 35 students of a class is 46 years. If the age of the teacher is also included, the average age of the whole group becomes 47 years. The age (in years) of the teacher is:
a.
85
b.
83
c.
82
d.
84
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If the total surface area of a cylinder is 4 times the area of two circular faces, and the volume of the cylinder is 192 π cm 3 , then the height of the cylinder is:
a.
16 cm
b.
8 cm
c.
12 cm
d.
9 cm
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A metal rod is divided into three parts, A, B and C. The lengths of A and B are in the ratio 4 : 8, and the lengths of C and B are in the ratio 10 : 18. If the difference between the lengths of A and C is 48 cm, determine the total length (in cm) of the metal rod.
a.
1782
b.
1764
c.
1798
d.
1176
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In the following triads, 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. WASH - HSWA - WSAH CORE - ERCO - CROE
a.
INKS - SKIN - IKNS
b.
LEAP - LAEP - PAEL
c.
DARE - ARDE - ARED
d.
FINE - ENFI - INFE
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A, B, C, D, E, F and G are sitting around a circular table, facing the centre. F sits second to the right of B. A sits third to the left of F. C is the immediate neighbour of E and A. G is not an immediate neighbour of B. How many people sit between D and E when counted from the left of D?
a.
Four
b.
Two
c.
One
d.
Three
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Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Left) ? * + ? \ & 3 # 9 % 4 1 6 * @ 5 4 8 8 $ \ (Right) How many such numbers are there, each of which is immediately preceded by another number and also immediately followed by a symbol?
a.
Two
b.
Four
c.
Three
d.
One
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60 people are standing in a row facing north. Shivani is 40 th from the right end while Sneha is 26 th from the left end. How many people are there between Shivani and Sneha?
a.
3
b.
4
c.
1
d.
2
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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: All Tractors are Motorcycles. Some Motorcycles are Minivans. No Minivans are Hovercrafts. Conclusion (I):Some Hovercrafts are Motorcycles Conclusion (II): Some Minivans are Tractors
a.
Both conclusions (I) and (II) follow
b.
Only conclusion (I) follows
c.
Neither conclusion (I) nor (II) follows
d.
Only conclusion (II) follows
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Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? VDE97, BJK74, HPQ51, NVW28, ?
a.
TUC5
b.
TBC5
c.
TBG5
d.
IBC5
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Seven people B, C, D, I, J, K and L are sitting in a straight line facing north. No one sits to the left of K. Only four people sit between K and J. L sits second to the left of J. D sits to the immediate left of B. C is not an immediate neighbour of L. How many people sit between L and C? 7075
a.
One
b.
Four
c.
Two
d.
Three
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Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only six people sit to the right of C. Only four people sit to the left of B. D sits to the left of A but right of
a.
Two
b.
One
c.
Three
d.
Four
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If ‘A’ stands for ‘÷’ , ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-‘ , what will come in place of the question mark ‘?’ in the following equation? 25 C 15 A 3 D 9 B 3 = ?
a.
1
b.
2
c.
4
d.
3
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Piya starts from point A and drives 33 km towards south. She then takes a right turn, drives 45 km, turns right and drives 41 km. She then takes a right turn and drives 56 km. She takes a final right turn, drives 8 km and stops at point P. How far (shortest distance) and towards which direction should she drive in order to reach point A again? (Note: All turns are 90° turns only unless specified.)
a.
12 km to the east
b.
13 km to the east
c.
11 km to the west
d.
10 km to the west
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Leander starts from Point A and drives 6 km towards east. He then takes a left turn, drives 4 km, turns left and drives 3 km. He then takes a right turn and drives 3 km. He takes a final left turn, drives 3 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.
3 km towards south
b.
7 km towards south
c.
6 km towards west
d.
6 km towards north
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As informed by Union Minister Dr. Jitendra Singh on 1 January 2025, India’s biotechnology sector has experienced extraordinary growth, skyrocketing from a $10 billion industry in 2014 to over _____ in 2024.
a.
$130 billion
b.
$100 billion
c.
$80 billion
d.
$140 billion
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Who set the world record for the farthest distance swum in 48 hours (female) in a 25 m pool, covering an astonishing 149.02 km (92.59 miles) in just 2 days?
a.
Karolina Szczepaniak
b.
Diana Nyad
c.
Sarah Thomas
d.
Katie Ledecky
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In 2025, a state-of-the-art automated healthcare machine, a self-service digital health kiosk for basic testing and diagnostics, was installed at Lucknow. What is it called?
a.
Med Kiosk
b.
e-Clinic Booth
c.
Health ATM
d.
Health Pod
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