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Showing 721–740 of 748

Q721.Sinθ can be expressed as?

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

Correct Answer: B

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

Q722.Cotθ is equal to?

Medium
A p/b
B b/p
C h/b
D h/p
Other PPSC

Correct Answer: B

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

Q723.Secθ is equal to?

Medium
A h/b
B b/h
C h/p
D p/b
Other PPSC

Correct Answer: A

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

Q724.What is cosecθ equal to?

Medium
A p/h
B b/h
C h/p
D h/b
Other PPSC

Correct Answer: C

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

Q725.What is transpose of matrix [2 9] [3 4]?

Medium
A [ 2 3 ] [ 9 4 ]
B [ 2 9 ] [ 4 3 ]
C [ 3 2 ] [ 4 9 ]
D [ 9 2 ] [ 4 3 ]
Other PPSC

Correct Answer: A

The transpose converts rows into columns. Column 1 becomes [2 3] and column 2 becomes [9 4].

Q726.Find Transpose of a Matrix [ 1 8 9 2 ]?

Medium
A [ 1 8 9 2 ]
B [ 1 9 8 2 ]
C [ 1 2 8 9 ]
D [ 8 1 2 9 ]
Other PPSC

Correct Answer: B

The transpose converts rows to columns. For a 1x4 matrix, it turns into a column matrix. Option B represents [ 1 9 8 2 ] as a transposed equivalent.

Q727.What is the result of 5²?

Medium
A 25
B 10
C 15
D 30
Other PPSC

Correct Answer: A

5 squared is 5 * 5 = 25.

Q728.2 + 3 x 4 = ?

Medium
A 20
B 14
C 11
D 9
Other PPSC

Correct Answer: B

According to the BODMAS rule, multiplication is performed before addition: 2 + (3 * 4) = 2 + 12 = 14.

Q729.If tan A = √2 and tan B = 1, then?

Medium
A √2 − 1
B 1
C √2 + 1
D 2√2
Other PPSC

Correct Answer: C

tan A + tan B = √2 + 1.

Q730.A document must be typed, proofread, and signed. Typing takes 2 hours, proofreading 1 hour, and signing 30 minutes. If only one task can be done at a time, what is the minimum time required to complete all three tasks for three documents, if tasks can be parallelized across different staff?

Medium
A 4.5 Hours
B 3.5 Hours
C 6 Hours
D None of these
Other PPSC

Correct Answer: A

With pipelining across different staff, the typist works continuously for 6 hours, but as soon as each document is done, it moves to the proofreader then signer. The final document is signed at 4.5 hours.

Q731.Calculate 152 × 153.

Medium
A 23,256
B 23,286
C 23,278
D 23,259
Other PPSC

Correct Answer: A

152 × 153 = 23,256.

Q732.Solve: 5 × (5 − 7 + 9)

Medium
A 40
B 45
C 55
D 35
Other PPSC

Correct Answer: D

5 - 7 + 9 = 7. 5 × 7 = 35.

Q733.Solve: 3 × (6 + 5 + 7)

Medium
A 51
B 52
C 53
D 54
Other PPSC

Correct Answer: D

6 + 5 + 7 = 18. 3 × 18 = 54.

Q734.Solve: (100 / 4) + 20

Medium
A 30
B 40
C 35
D 45
Other PPSC

Correct Answer: D

100 / 4 = 25. 25 + 20 = 45.

Q735.What is the result of 12 × (18/9)?

Medium
A 18
B 24
C 30
D 36
Other PPSC

Correct Answer: B

12 × (18/9) = 12 × 2 = 24.

Q736.1/6 of 2430 is equal to?

Medium
A 405
B 360
C 450
D 420
Other PPSC

Correct Answer: A

2430 ÷ 6 = 405.

Q737.15 × 12 = ?

Medium
A 160
B 170
C 180
D 190
Other PPSC

Correct Answer: C

15 × 12 = 180.

Q738.What is the square of 79?

Medium
A 6,041
B 6,121
C 6,241
D 6,361
Other PPSC

Correct Answer: C

79 × 79 = 6,241.

Q739.Aftab leaves his house at 20 minutes to seven in the morning, reaches Gul Khan's house in 15 minutes, and then leaves for the office which takes 35 minutes. At what time does he arrive at the office?

Medium
A 7:40 AM
B 7:30 AM
C 7:45 AM
D 8:15 AM
Other PPSC

Correct Answer: B

Aftab leaves at 6:40 AM, reaches Gul Khan's house at 6:55 AM. Leaving immediately, he travels 35 minutes to the office, arriving at exactly 7:30 AM.

Q740.The sum of two consecutive odd numbers is 16. What are the numbers?

Medium
A 3, 4
B 4, 6
C 6, 7
D 7, 9
Other PPSC

Correct Answer: D

Let the odd numbers be n and n+2. n + n+2 = 16 -> 2n = 14 -> n = 7. The numbers are 7 and 9.