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- Question
The reflex angle between the hands of a clock at 10.25 is:
Options- A. 180°
- B.
192 1 ° 2 - C. 195°
- D.
197 1 ° 2 - Correct Answer
-
197 1 ° 2
ExplanationAngle traced by hour hand in 125 hrs = ❨ 360 x 125 ❩ ° = 312 1 ° . 12 12 12 2 Angle traced by minute hand in 25 min = ❨ 360 x 25 ❩ ° = 150°. 60 ∴ Reflex angle = 360° - ❨ 312 1 - 150 ❩ ° = 360° - 162 1 ° = 197 1° . 2 2 2
More questions
- 1. At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
Options- A. 24min
- B. 12min
- C. 13min
- D. 14min Discuss
Correct Answer: 24min
Explanation:
In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apartCase 1 : (5*x + t) * 12/11
(5*5 + 3) * 12/11
28 * 12/11 = 336/11= min
therefore the hands will be 3 min apart at 31 5/11 min past 5.
Case 2 : (5*x - t) * 12/11
(5*5 -3 ) * 12/11
22 *12/11 = 24 min
therefore the hands will be 3 min apart at 24 min past 5
- 2. A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?
Options- A. 240
- B. 120
- C. 60
- D. 90 Discuss
Correct Answer: 60
- 3. On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is
Options- A. 68
- B. 65
- C. 70
- D. 75 Discuss
Correct Answer: 75
Explanation:
Let Divisor be x. We know that Dividend = Remainder+Divisor×Quotient So Divisor = (Dividend - Remainder)/Quotient ⇒ x = (4150 - 25)/55 ⇒ x = 4125/55 ⇒ x = 75 Hence Divisor is 75.- 4. At what time between 2 and 3 o'clock will the hands of a clock be together?
Options- A. (9 + 10/11) min past 2
- B. (10 + 10/11) min past 2
- C. (11 + 10/11) min past 2
- D. (12 + 10/11) min past 2 Discuss
Correct Answer: (10 + 10/11) min past 2
- 5. The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :
Options- A. 3/5
- B. 3/10
- C. 4/5
- D. 5/4 Discuss
Correct Answer: 4/5
Explanation:
Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.- 6. What is the greatest of 3 consecutive integers whose sum is 24 ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
Correct Answer: 9
Explanation:
The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3
If the sum is 24, we need to solve the equation 3n + 3 = 24;
=> 3n = 21;
=> n = 7
The greatest of the three numbers is therefore 7 + 2 = 9
- 7. At what angle the hands of a clock are inclined at 15 minutes past 5?
Options- A. 57.5 degrees
- B. 67.5 degrees
- C. 77.5 degrees
- D. 87.5 degrees Discuss
Correct Answer: 67.5 degrees
- 8. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
Options- A. 4pm
- B. 5pm
- C. 6pm
- D. 7pm Discuss
Correct Answer: 4pm
- 9. If 60% of 35 of a number is 36, then the number is
Options- A. 86
- B. 94
- C. 100
- D. 115 Discuss
Correct Answer: 100
Explanation:
Let the number be x.Then
60% of of x=36.
=>
=> => x=
Required number is 100.
- 10. 476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:
Options- A. 6 and 2
- B. 8 and 2
- C. 6 and 5
- D. 8 and 5 Discuss
Correct Answer: 8 and 5
Explanation:
Let the number be 476ab0
476ab0 is divisible by 3
=> 4 + 7 + 6 + a + b + 0 is divisible by 3
=> 17 + a + b is divisible by 3 ------------------------(i)
476ab0 is divisible by 11
[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11
=> [3 + (b - a)] is 0 or divisible by 11 --------------(ii)
Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.
if a=6 and b=2,
17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer
if a=8 and b=2,
17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)
[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer
if a=6 and b=5,
17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer
if a=8 and b=5,
17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1
[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2
Since these values satisfies both equation 1 and equation 2, this is the answer
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