Mathematics — All MCQs

1905 questions available

Showing 1741–1760 of 1905

Q1741.If x = t and y = m, then what is the value of (y − x)ⁿ?

Medium
A (t − m)ⁿ
B (m + t)ⁿ
C (m − t)ⁿ
D (t + m)/n
Algebra PPSC

Correct Answer: C

Substituting x = t and y = m into the expression (y − x)ⁿ yields (m − t)ⁿ.

Q1742.Divide 1/4 + 1/4 =?

Medium
A 1/2
B 1/8
C 1/32
D None of these
Basic Arithmetic PPSC

Correct Answer: A

Adding equal fractions: 1/4 + 1/4 = 2/4 = 1/2.

Q1743.1/8+1/8+1/8+1/8=?

Medium
A 1/2
B 1/4
C 2/3
D 3/4
Basic Arithmetic PPSC

Correct Answer: A

1/8 + 1/8 + 1/8 + 1/8 = 4/8 = 1/2.

Q1744.If x = √2 − 1, then find x²?

Medium
A 1
B 3 − 2√2
C 2
D √2
Algebra PPSC

Correct Answer: B

x² = (√2 − 1)² = 2 − 2√2 + 1 = 3 − 2√2.

Q1745.The solution set of equation x-3 =4?

Medium
A 7
B 15
C 19
D 34
Algebra PPSC

Correct Answer: A

Solving for x: x - 3 = 4 => x = 4 + 3 = 7.

Q1746.The sum of four consecutive even numbers is 292 what is the smallest number?

Medium
A 66
B 68
C 70
D 72
Algebra PPSC

Correct Answer: C

Let the consecutive even numbers be x, x+2, x+4, x+6. Sum = 4x + 12 = 292 => 4x = 280 => x = 70. Smallest is 70.

Q1747.The average of 8 numbers is 12. If 2 is added to each number, what will be the new average.

Medium
A 10
B 12
C 14
D 16
Percentage, Ratio & Average PPSC

Correct Answer: C

Adding a constant to each number in a dataset increases the arithmetic mean of that dataset by the same constant: 12 + 2 = 14.

Q1748.If 10 men earn 500 units of money in 4 days, how much will 8 men earn in 6 days?

Medium
A 450
B 600
C 700
D 750
Time, Work & Speed PPSC

Correct Answer: B

Total work = 10 men * 4 days = 40 man-days. Earning per man-day = 500 / 40 = 12.5. Earning for 8 men in 6 days = 8 * 6 * 12.5 = 600.

Q1749.What is the additive inverse of matrix? Matrix = [ -7 8 ] [ 6 3 ]

Medium
A [ 7 -8 ] [ -6 -3 ]
B [ -7 -8 ] [ 6 -3 ]
C [ 7 8 ] [ 6 3 ]
D [ -7 8 ] [ -6 -3 ]
Algebra PPSC

Correct Answer: A

The additive inverse of a matrix A is -A, where each element is negated. This yields [ 7 -8 ] [ -6 -3 ].

Q1750.A person with a salary of 5000, if 5% deducted then?

Medium
A 4000
B 6320
C 4750
D 3450
Percentage, Ratio & Average PPSC

Correct Answer: C

5% of 5000 = 250. Earning after deduction = 5000 - 250 = 4750.

Q1751.(a² - b²) = ?

Medium
A (a + b)(a - b)
B A + b
C A - b
D B - a
Algebra PPSC

Correct Answer: A

The algebraic identity for the difference of two squares is: a² - b² = (a - b)(a + b).

Q1752.Tanθ can also be written as?

Medium
A cosθ / sinθ
B sinθ / cosθ
C 1/sinθ
D 1/cosθ
General MCQs PPSC

Correct Answer: B

In trigonometry, tangent is the ratio of sine to cosine: tanθ = sinθ / cosθ.

Q1753.Cosecθ is equal to?

Medium
A 1/tanθ
B 1/sinθ
C 1/cosθ
D 1/secθ
General MCQs PPSC

Correct Answer: B

Cosecθ is defined as the reciprocal of sinθ, which is written as 1/sinθ.

Q1754.Sinθ can be expressed as?

Medium
A 1/secθ
B 1/cosecθ
C 1/tanθ
D 1/cotθ
General MCQs PPSC

Correct Answer: B

By definition, sinθ is the reciprocal of cosecθ: sinθ = 1/cosecθ.

Q1755.Cotθ is equal to?

Medium
A p/b
B b/p
C h/b
D h/p
General MCQs PPSC

Correct Answer: B

Cotθ is the ratio of base to perpendicular: b/p.

Q1756.Tanθ is the ratio of?

Medium
A p/b
B b/p
C h/p
D b/h
Percentage, Ratio & Average PPSC

Correct Answer: A

Tanθ is defined as the ratio of perpendicular to base: p/b.

Q1757.Secθ is equal to?

Medium
A h/b
B b/h
C h/p
D p/b
General MCQs PPSC

Correct Answer: A

Secθ is the reciprocal of cosθ: secθ = 1/cosθ = hypotenuse/base = h/b.

Q1758.cosθ is given by which ratio?

Medium
A b/p
B h/p
C p/h
D b/h
Percentage, Ratio & Average PPSC

Correct Answer: D

cosθ is defined as the ratio of base to hypotenuse: b/h.

Q1759.What is cosecθ equal to?

Medium
A p/h
B b/h
C h/p
D h/b
General MCQs PPSC

Correct Answer: C

Cosecθ is the ratio of hypotenuse to perpendicular: h/p.

Q1760.What is sinθ equal to in a right-angled triangle?

Medium
A h/p
B p/h
C b/p
D b/h
Geometry & Mensuration PPSC

Correct Answer: B

In a right-angled triangle, sinθ is the ratio of perpendicular to hypotenuse: p/h.