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- Question
- If a 2 + b 2 = a, then the value of a 12 + a 6 + 1 is?
Options- A. 2
- B. 3
- C. -3
- D. 1
- Correct Answer
- 3
Explanationa2 + 1 = a ? a + 1/a = 1
On squaring both sides, we get
a2 + 1/a2 + 2 = 1
? a2 + 1/a2 = -1
On cubing both sides, we get
(a2 + 1/a2)3 = (-1)3
? a6 + 1/a6 + 3a2 x 1/a2(a2 + 1/a2) = -1
? a6 + 1/a6 + 3 x (-1) = -1
Now, a6 + 1/a6 + 1 = 3
As, a12 + a6 + 1 can also be written as a6 + 1/a6 + 1
? a12 + a6 + 1 = 3 - 1. Find the radius of the circle if the area of its sector is 30.8 sq cm whose corresponding central angle is 72°?
Options- A. 3.5 cm
- B. 7 cm
- C. 14 cm
- D. 10.5 cm Discuss
- 2. The angle between the minute hand and the hour hand of a clock when the time is 4.15 is
Options- A. 0
- B. 37.5
- C. 27
- D. 15 Discuss
- 3. What will come in place of the question mark (?) in the following questions ? 22% of ? + 166.64 = 340
Options- A. 788
- B. 786
- C. 784
- D. 792 Discuss
- 4. What is the measure of central angle of the arc whose length is 11 cm and radius of the circle is 14 cm?
Options- A. 45°
- B. 60°
- C. 75°
- D. 90° Discuss
- 5. At 6?o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12?o clock ?
Options- A. 66 sec
- B. 55 sec
- C. 36 sec
- D. 24 sec Discuss
- 6. The sum of three consecutive odd numbers is 93. What is the middle number?
Options- A. 31
- B. 33
- C. 29
- D. 27 Discuss
- 7. A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take ? = 22/7)
Options- A. 6.67 cm
- B. 2.22 cm
- C. 3.33 cm
- D. 1.67 cm Discuss
- 8. At what time between 3 and 4 o?clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?
Options- A. 3:15 2/8
- B. 3:49
- C. 3:49 1/11
- D. 3:51 Discuss
- 9. The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?
Options- A. 80 degrees
- B. 60 degrees
- C. 120 degrees
- D. 40 degrees Discuss
- 10. Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are
Options- A. (-7,-3)
- B. (6.5,3)
- C. (7,3)
- D. (-6.5,-3) Discuss
More questions
Correct Answer: 7 cm
Correct Answer: 37.5
Explanation:
Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=> degrees
Here H = 4, M = 15 and the minute hand is behind the hour hand.
Hence the angle
= 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees
Correct Answer: 788
Explanation:
(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788
Correct Answer: 45°
Correct Answer: 66 sec
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 30/5 = 6 secs
At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.
Correct Answer: 31
Explanation:
Let the three consecutive odd numbers be x, x+2, x+4
Then,
x + x + 2 + x + 4 = 93
=> 3x + 6 = 93
=> 3x = 87
=> x = 29 => 29, 31, 33 are three consecutive odd numbers.
Therefore, the middle number is 31.
Correct Answer: 6.67 cm
Correct Answer: 3:49 1/11
Explanation:
On straight line means 180 degree angle.
180 = 11/2 min ? 30 hrs
180 = 11/2 m ? 30 × 3
180 = 11/2 m ? 90
(180 + 90) 2 = 11 m
m = 540/11 = 49 1/11 minutes.
Correct Answer: 60 degrees
Explanation:
Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.
Hence the second largest angle of the triangle is 60 degrees.
Correct Answer: (-7,-3)
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