SHIV NADAR TYPE 05 - Start Exam

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SHIV NADAR TYPE 05

Shiv Nadar University (SNUSAT) – Practice Mock Test (StartExam.in)
This mock test is made for practice, concept revision, and time management for your upcoming SNUSAT exam.
✅ Questions are practice-based and may not match the exact official SNUSAT paper.
✅ This is NOT an official Shiv Nadar University/NUSAT paper, and we are not affiliated with Shiv Nadar University.

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Use 2 rounds: Round-1 easy, Round-2 moderate, Round-3 tough (only if confident).

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✅ Correct Answer: +1
❌ Wrong Answer: 0 (No negative marking in this mock test)
⏭ Unattempted: 0

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1 / 100

Category: SNU Type-05 | Mathematics (APT)

Find the value of C(10,2) + C(10,8).

2 / 100

Category: SNU Type-05 | Quantitative Reasoning

Distance between points (−2, 5) and (4, −3) is ____.

3 / 100

Category: SNU Type-05 | Physics (APT)

Match the physical quantity with its SI unit.

Volt

Hertz

Ohm

N/C

4 / 100

Category: SNU Type-05 | Physics (APT)

For a convex lens of focal length 15 cm, an object is placed 30 cm from the lens. Image distance is ____ cm.

5 / 100

Category: SNU Type-05 | Quantitative Reasoning

Match the expression with its correct identity form.

a^2 − 2ab + b^2

a^2−b^2

a^2 + 2ab + b^2

(a−b)(a+b)

6 / 100

Category: SNU Type-05 | Quantitative Reasoning

A can do a job in 20 days and B in 30 days. If they work together for 6 days, what fraction of the work remains unfinished? (Answer as a/b)

1/2

7 / 100

Category: SNU Type-05 | Physics (APT)

For an ideal gas at constant temperature, if volume is reduced to half, pressure becomes ____ times.

8 / 100

Category: SNU Type-05 | Logical Reasoning

True/False: If all A are B and no B are C, then no A are C.

True

False

9 / 100

Category: SNU Type-05 | Physics (APT)

Match the circuit connection with the correct property.

same voltage across each

same current through each

same emf, higher current capacity

emfs add up

10 / 100

Category: SNU Type-05 | Quantitative Reasoning

Match the percentage with its simplest fractional form.

7/8

3/8

5/8

1/8

11 / 100

Category: SNU Type-05 | Logical Reasoning

Find the odd one out: Cube, Sphere, Cylinder, Square.

Cylinder

Cube

Sphere

Square

12 / 100

Category: SNU Type-05 | Logical Reasoning

Find the missing number in the series: 3, 8, 15, 24, 35, ____.

13 / 100

Category: SNU Type-05 | Quantitative Reasoning

A solution has 40% acid. How much water must be added to 30 L of it to make the acid concentration 25%?

10 L

18 L

12 L

20 L

14 / 100

Category: SNU Type-05 | Mathematics (APT)

If sinθ = 3/5 and θ is acute, then cosθ equals:

3/4

5/4

4/5

2/5

15 / 100

Category: SNU Type-05 | Quantitative Reasoning

₹8000 is invested at 10% p.a. compounded annually. Compound interest after 2 years is ____ (₹).

16 / 100

Category: SNU Type-05 | Mathematics (APT)

If f(x)=x^2−4x+7, find f(−3).

17 / 100

Category: SNU Type-05 | Quantitative Reasoning

A cylinder has radius 7 cm and height 10 cm. Its curved surface area is:

70π

490π

140π

280π

18 / 100

Category: SNU Type-05 | Quantitative Reasoning

In a class, 28 students like Maths, 24 like Physics, and 10 like both. Number of students who like at least one of the two is ____.

19 / 100

Category: SNU Type-05 | Logical Reasoning

Statements: All poets are dreamers. Some dreamers are musicians. Conclusions: (I) Some poets are musicians. (II) Some musicians are dreamers. Choose the correct option.

Only II follows

Both follow

Neither follows

Only I follows

20 / 100

Category: SNU Type-05 | Physics (APT)

For SHM, if x(t)=A cos(ωt), maximum speed is ____.

Aω

21 / 100

Category: SNU Type-05 | Physics (APT)

Match the scenario with the dominant energy conversion.

kinetic → thermal

electrical → thermal

light → electrical

kinetic (wind) → electrical

22 / 100

Category: SNU Type-05 | Mathematics (APT)

For matrix A = [[2,1],[5,3]], det(A) equals:

23 / 100

Category: SNU Type-05 | Quantitative Reasoning

True/False: For any real numbers a and b, (a−b)^2 ≥ 0.

False

True

24 / 100

Category: SNU Type-05 | Mathematics (APT)

A card is drawn from a standard deck. Probability that it is a face card (J,Q,K) is:

1/4

1/13

4/13

3/13

25 / 100

Category: SNU Type-05 | Logical Reasoning

Analogy: Doctor : Hospital :: Teacher : ____.

School

26 / 100

Category: SNU Type-05 | Physics (APT)

True/False: In uniform circular motion, speed is constant but velocity is not constant.

False

True

27 / 100

Category: SNU Type-05 | Physics (APT)

A force of 15 N acts along the direction of motion and moves an object by 8 m. Work done is ____ J.

28 / 100

Category: SNU Type-05 | Quantitative Reasoning

A fair coin is tossed 3 times. Probability of getting at least 2 heads is:

3/8

5/8

1/8

1/2

29 / 100

Category: SNU Type-05 | Physics (APT)

A particle moves with velocity v(t)=4t (m/s). Distance covered from t=0 to t=5 s is ____ m.

30 / 100

Category: SNU Type-05 | Physics (APT)

A device does 600 J of work in 20 s. Power is:

12 W

20 W

60 W

30 W

31 / 100

Category: SNU Type-05 | Physics (APT)

If light enters from air into glass (n>1), it bends ____ the normal (towards/away).

towards

32 / 100

Category: SNU Type-05 | Physics (APT)

Two resistors 6 Ω and 3 Ω are connected in series across 9 V. Current in the circuit is:

1 A

1.5 A

2 A

0.5 A

33 / 100

Category: SNU Type-05 | Mathematics (APT)

True/False: If f is differentiable at x=a, then f is continuous at x=a.

True

False

34 / 100

Category: SNU Type-05 | Physics (APT)

Two charges +2 μC and +8 μC repel each other with force F at distance r. If distance is doubled, new force becomes ____ F.

1/4

35 / 100

Category: SNU Type-05 | Logical Reasoning

A person walks 12 m East, then 5 m North, then 12 m West. He is ____ m away from the starting point.

36 / 100

Category: SNU Type-05 | Quantitative Reasoning

Find the sum of the first 25 terms of the arithmetic progression: 3, 7, 11, …

37 / 100

Category: SNU Type-05 | Quantitative Reasoning

A box has 6 red, 4 blue, and 5 green balls. One ball is drawn at random. Probability of NOT drawing a green ball is ____ (as a simplified fraction).

2/3

38 / 100

Category: SNU Type-05 | Logical Reasoning

A is B’s father. C is A’s mother. D is C’s husband. D is B’s ____.

Father

Brother

Uncle

Grandfather

39 / 100

Category: SNU Type-05 | Logical Reasoning

Five people P,Q,R,S,T sit in a row. Q sits exactly between P and R. T is at an end. S is not adjacent to Q. Who can be in the middle seat?

40 / 100

Category: SNU Type-05 | Mathematics (APT)

Compute: C(12,3).

41 / 100

Category: SNU Type-05 | Logical Reasoning

At 2:20, the angle between the hour hand and the minute hand is ____ degrees.

42 / 100

Category: SNU Type-05 | Mathematics (APT)

True/False: Swapping two rows of a matrix changes the sign of its determinant.

True

False

43 / 100

Category: SNU Type-05 | Logical Reasoning

If in a certain code, MANGO is written as NZOHQ, then APPLE is written as ____.

BQQMF

44 / 100

Category: SNU Type-05 | Mathematics (APT)

True/False: Two non-zero vectors are perpendicular if and only if their dot product is zero.

True

False

45 / 100

Category: SNU Type-05 | Logical Reasoning

True/False: The contrapositive of ‘If A then B’ is logically equivalent to the original statement.

True

False

46 / 100

Category: SNU Type-05 | Logical Reasoning

How many rectangles (of all sizes) are there in a 2×3 grid of unit squares?

47 / 100

Category: SNU Type-05 | Quantitative Reasoning

True/False: If a number is divisible by 6, it must be divisible by both 2 and 3.

True

False

48 / 100

Category: SNU Type-05 | Quantitative Reasoning

True/False: log(a) + log(b) = log(a+b) for positive a,b (same base).

False

True

49 / 100

Category: SNU Type-05 | Physics (APT)

The SI unit of magnetic flux density B is:

Weber

Ampere

Henry

Tesla

50 / 100

Category: SNU Type-05 | Quantitative Reasoning

Match the concept with the correct statement.

has exactly two positive divisors

numerical factor of a term

middle value after sorting

divides without remainder

51 / 100

Category: SNU Type-05 | Mathematics (APT)

If the nth term of an AP is an = 5n − 2, then the first term a1 is:

-2

52 / 100

Category: SNU Type-05 | Mathematics (APT)

If z = 3 − 4i, then |z| = ____.

53 / 100

Category: SNU Type-05 | Mathematics (APT)

Match the conic with a standard form equation.

y^2=4ax

x^2/a^2 − y^2/b^2 = 1

x^2/a^2 + y^2/b^2 = 1

(x−h)^2+(y−k)^2=r^2

54 / 100

Category: SNU Type-05 | Logical Reasoning

Starting facing South, you turn left, then right, then right. You are now facing:

East

North

West

South

55 / 100

Category: SNU Type-05 | Quantitative Reasoning

A bus travels 120 km at 60 km/h, stops for 30 minutes, then travels 80 km at 40 km/h. Find the overall average speed (km/h).

56 / 100

Category: SNU Type-05 | Mathematics (APT)

Match each expression with its equivalent identity.

csc^2θ

2sinθcosθ

sec^2θ

cos^2θ−sin^2θ

57 / 100

Category: SNU Type-05 | Logical Reasoning

Statement: All laptops are computers. Some computers are expensive. Conclusion: Some laptops are expensive. True/False (valid conclusion).

False

True

58 / 100

Category: SNU Type-05 | Logical Reasoning

In how many ways can 6 distinct books be arranged on a shelf if two particular books must NOT be together?

59 / 100

Category: SNU Type-05 | Physics (APT)

A 0.5 kg ball moving at 12 m/s is brought to rest in 0.2 s. Magnitude of average force is ____ N.

60 / 100

Category: SNU Type-05 | Physics (APT)

For a convex lens, if the object is placed between the lens and its focal point, the image formed is ____ (real/virtual).

virtual

61 / 100

Category: SNU Type-05 | Mathematics (APT)

Equation of the line with slope 3 passing through (0, −2) can be written as y = ____.

3x − 2

62 / 100

Category: SNU Type-05 | Logical Reasoning

Match the puzzle type with what it primarily tests.

symbol manipulation

logical validity

constraint satisfaction

pattern detection

63 / 100

Category: SNU Type-05 | Physics (APT)

A capacitor of 4 μF is charged to 50 V. Charge stored is ____ μC.

64 / 100

Category: SNU Type-05 | Physics (APT)

A wave has wavelength 0.5 m and frequency 40 Hz. Its speed is:

80 m/s

20 m/s

10 m/s

40 m/s

65 / 100

Category: SNU Type-05 | Physics (APT)

Match the law with its statement (closest).

total energy remains constant in an isolated system

induced emf proportional to rate of change of flux

V = IR

n1 sinθ1 = n2 sinθ2

66 / 100

Category: SNU Type-05 | Logical Reasoning

Match each type of reasoning with its direction.

based on similarity

specific → general

general → specific

best explanation from observations

67 / 100

Category: SNU Type-05 | Mathematics (APT)

True/False: The sum of the first n odd natural numbers is n^2.

True

False

68 / 100

Category: SNU Type-05 | Mathematics (APT)

Match each term with its meaning.

approach value

no jump at a point

instantaneous rate of change

accumulated area/sum

69 / 100

Category: SNU Type-05 | Mathematics (APT)

Evaluate the limit: lim_{x→0} (sin x)/x (in radians).

70 / 100

Category: SNU Type-05 | Logical Reasoning

If COMPUTER is coded as DPNQVUFS (each letter shifted +1), then SCIENCE will be coded as:

TDJFODF

T DJFODF

TDJFOEF

TDJFODF

71 / 100

Category: SNU Type-05 | Quantitative Reasoning

How many 5-digit numbers can be formed using digits 1,2,3,4,5 without repetition such that 1 is NOT in the first position?

72 / 100

Category: SNU Type-05 | Physics (APT)

A projectile is fired horizontally from a height h with speed u. Time to hit the ground (ignoring air resistance) depends on:

h only

neither u nor h

u only

u and h

73 / 100

Category: SNU Type-05 | Mathematics (APT)

If f(x)=3x+2, then f^{-1}(8) = ____.

74 / 100

Category: SNU Type-05 | Quantitative Reasoning

A tank is filled by Pipe A in 18 minutes and emptied by Pipe B in 30 minutes. If both are opened together, the tank gets filled in ____ minutes.

75 / 100

Category: SNU Type-05 | Quantitative Reasoning

If (x−3)(x+5)=0, then the product of all possible values of x is ____.

-15

76 / 100

Category: SNU Type-05 | Mathematics (APT)

Compute det([[1,0,2],[0,3,0],[4,0,5]]).

77 / 100

Category: SNU Type-05 | Mathematics (APT)

Sum of roots of 2x^2 − 7x + 3 = 0 equals:

7/2

3/2

78 / 100

Category: SNU Type-05 | Quantitative Reasoning

The sum of three consecutive integers is 231. Find the largest integer.

79 / 100

Category: SNU Type-05 | Logical Reasoning

If 12 workers can build a wall in 15 days, how many days will 18 workers take to build the same wall (same efficiency)?

80 / 100

Category: SNU Type-05 | Mathematics (APT)

If log10(x)=2.3, then x = ____.

199.526

81 / 100

Category: SNU Type-05 | Logical Reasoning

Argument: ‘All successful students study daily. Riya studies daily. Therefore Riya is successful.’ The reasoning is:

Affirming the consequent

Circular reasoning

Valid deduction

Denying the antecedent

82 / 100

Category: SNU Type-05 | Physics (APT)

Two resistors 4 Ω and 12 Ω are connected in parallel. Equivalent resistance is ____ Ω.

83 / 100

Category: SNU Type-05 | Quantitative Reasoning

If x is a positive integer and 3x < 50, then the greatest possible value of x is:

84 / 100

Category: SNU Type-05 | Mathematics (APT)

Magnitude of vector (6,8) is ____.

85 / 100

Category: SNU Type-05 | Logical Reasoning

Find the next number: 1, 2, 6, 24, 120, ____.

86 / 100

Category: SNU Type-05 | Physics (APT)

True/False: The acceleration due to gravity is approximately the same for all bodies near Earth’s surface (neglecting air resistance).

False

True

87 / 100

Category: SNU Type-05 | Logical Reasoning

True/False: Two mutually exclusive events can occur simultaneously.

False

True

88 / 100

Category: SNU Type-05 | Logical Reasoning

If 1 Jan 2025 was a Wednesday, then 1 Jan 2026 will be a ____.

Thursday

89 / 100

Category: SNU Type-05 | Physics (APT)

True/False: Induced emf is produced when magnetic flux linked with a circuit changes.

True

False

90 / 100

Category: SNU Type-05 | Logical Reasoning

Match the logical term with the correct description.

flawed reasoning pattern

unstated idea needed for argument

given statement supporting a conclusion

conclusion drawn from facts

91 / 100

Category: SNU Type-05 | Physics (APT)

True/False: For a plane mirror, the image distance behind the mirror equals the object distance in front of it.

False

True

92 / 100

Category: SNU Type-05 | Quantitative Reasoning

How many integers from 1 to 100 (inclusive) are divisible by 2 or 5?

93 / 100

Category: SNU Type-05 | Logical Reasoning

Find the missing term: AZ, BY, CX, DW, ____.

94 / 100

Category: SNU Type-05 | Quantitative Reasoning

Two numbers are in the ratio 7:9. If their difference is 44, the smaller number is ____.

154

95 / 100

Category: SNU Type-05 | Quantitative Reasoning

For the quadratic equation x^2 − 6x + k = 0 to have equal roots, k must be ____.

96 / 100

Category: SNU Type-05 | Mathematics (APT)

Minimum value of (x−4)^2 is:

Does not exist

97 / 100

Category: SNU Type-05 | Mathematics (APT)

∫ (2x) dx equals:

x^2 + C

98 / 100

Category: SNU Type-05 | Quantitative Reasoning

When 3^2025 is divided by 8, the remainder is:

99 / 100

Category: SNU Type-05 | Mathematics (APT)

Distance between points (1,2,3) and (4,6,3) is ____.

100 / 100

Category: SNU Type-05 | Physics (APT)

True/False: Temperature is a measure of average kinetic energy of particles in a system (qualitatively).

False

True

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