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- Question
In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?
Options- A. 175
- B. 145
- C. 165
- D. 135
- Correct Answer
- 175
ExplanationLet the number of males be 'M'
Let the number of females be 'F'
From the given conditions,
(F-15)=2M.....(i)
F=5(M-45).....(ii)
By solving the equations (1) & (2) we get M = 80
Then substitute M = 80 in (1)
F = 2M + 15
F = 2 x 80 + 15
=> F = 175
Therefore, number of males = 80 and females = 175 in the party. - 1. Six bell commence tolling together and toll at intervals of 5, 10, 15, 20, and 30 s, respectively. In 60 min, how many times do they toll together?
Options- A. 20
- B. 15
- C. 13
- D. 11 Discuss
- 2. In the given figure, ?B = ?C = 55° and ?D = 25°. Then:
Options- A. BC < CA < CD
- B. BC > CA > CD
- C. BC < CA, CA > CD
- D. BC > CA, CA < CD Discuss
- 3. In the given figure, AB || CD and AC || BD. If ?EAC = 40°, ?FDG = 55°, ?HAB = x; then the value of x is:
Options- A. 95°
- B. 70°
- C. 35°
- D. 85° Discuss
- 4. The complement of an angle exceeds the angle by 60°. Then the angle is equal to:
Options- A. 25°
- B. 30°
- C. 15°
- D. 35° Discuss
- 5. Find the measure of an angle, if six times its complement is 12° less than twice its supplement :
Options- A. 48°
- B. 96°
- C. 24°
- D. 58° Discuss
- 6. In the adjoining figure, AB || CD, t is the traversal, EG and FG are the bisectors of ?BEE and ?DFE respectively, then ?EGF is equal to :
Options- A. 90°
- B. 75°
- C. 80°
- D. 110° Discuss
- 7. The complement of 30°20? is:
Options- A. 69°40?
- B. 59°40?
- C. 35°80?
- D. 159°40? Discuss
- 8. In the given, AB || CD. Then X is equal to:
Options- A. 93°
- B. 103°
- C. 83°
- D. 97° Discuss
- 9. In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at
63 paise per kg he may gain 1 of his out-lay? 6
Options- A. 1 : 3
- B. 3 : 1
- C. 2 : 3
- D. 3 : 2 Discuss
- 10. A Principal amounts to ? 944 in 3 yr and to ? 1040 in 5 yr, each sum being invested at the same simple interest. The principal was
Options- A. ? 800
- B. ? 991
- C. ? 750
- D. ? 900 Discuss
More questions
Correct Answer: 13
Explanation:
LCM of 5, 10, 15, 20, 25 and 30 is 300. So, the bell will toll together after every 300s (5min).
So, the number of times they toll together = 60/5 + 1=13
Correct Answer: BC > CA, CA < CD
Explanation:
According to question,
?B = ?C = 55° , ?D = 25°
We can say ,
AB = AC ( ? ?B = ?C = 55° )
In Triangle ABC,
?A + ?B + ?C = 180°
? ?A + 55° + 55° = 180°
? ?A + 110° = 180°
? ?A = 180° - 110°
? ?A = 70° ..........................(1)
As per given figure,
?ACD + ?ACB = 180° ( ?ACB = ?C = 55°)
? ?ACD + 55° = 180°
? ?ACD = 180° - 55°
? ?ACD = 125° ....................... (2)
Now in Triangle ACD,
?CAD + ?ACD + ?CDA = 180°
? ?CAD + 125° + 25° = 180°
? ?CAD + 150° = 180°
? ?CAD = 30° ...........................(3)
( In a ?, greater angle has longer side opposite to it )
From the equation (1) , (2) and (3);
?B < ?A and ?CAD > ?D ;
? BC > CA and CA < CD
Correct Answer: 85°
Explanation:
?DCK = ?FDG = 55° (corr. ?s)
? ?ACE = ?DCK = 55° (vert. opp. ?s)
So, ?AEC = 180° ? (40° + 55°) = 85°
? ?HAB = ?AEC = 85° (corr. ?s)
Hence, x = 85°.
Correct Answer: 15°
Explanation:
Let, the angle be A
? Its complement angle = 90° ? A
According to the question
(90 ? A) = A + 60°
? 90 - 60 = A + A
? 2A = 30°
? A = 15°
Correct Answer: 48°
Explanation:
Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 ? A )° measure of its supplement = (180 ? A)°
According to question,
6(90° ? A) = 2(180° ? A) ?12°
? 540° ? 6A = 360° ? 2A ? 12°
? 4A = 192°
? A = 48°.
Correct Answer: 90°
Explanation:
Correct Answer: 59°40?
Explanation:
complement of 30°20? = 90° ? ( 30°20? ) = 90° ? ( 30° + 20? )
= (89° ? 30°) + (1° ? 20?)
= 59° + 60? ? 20? [ ? 1° = 60°?]
= 59° + 40? = 59°40?.
Correct Answer: 97°
Explanation:
Through O, draw a line l parallel to both AB and CD. Then
?1 = 45° (alt. ?S)
and ?2 = 30° (alt. ?S)
? ?BOC = ?1 + ?2 = 45° + 30° = 75°
So, X = 360° ? ?BOC = 360° ? 75° = 285°
Hence X = 285°.
Correct Answer: 1 : 3
Explanation:
Correct Answer: ? 800
Explanation:
By formula, P = (A2T1 - A1T2) / (T1 - T2)
Here, A1 = ? 944, T1 = 3
A2 = ? 1040, T2 = 5
? P = [(1040 x 3) - (944 x 5)] / (3 - 5)
= (3120 - 4720) / (-2)
= (-1600) / (-2)
= ? 800
? Principal = ? 800
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