General Mathematics

Question: At what time between 9 and 10 o'clock will the hands of a watch be together ?
A
45 min.past 9

B
50 min.past 9

C
`49 1/11` min.past 9

D
`48 2/11` min.past 5

Note: To be together between 9 and 10 o'clock, the minute hand has to gain 45 min.spaces. 55 min.spaces gained in 60 min. 45 min.spaces are gained in` (60/55 xx 45)` min or `49 1/11` :. The hands are together at` 49 1/11` min.past 9.
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Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions ?
A
45 min.past 4

B
40 min.past 4

C
`50 4/11` min.past 4

D
`54 6/11` min.past 4

Note: At 4 o'clock, the hands of the watch are 20 min.spaces apart. To be in opposite directions they must be 30 min. spaces apart :. Minute hand will have to gain 50 min. spaces. 55 min. spaces are gained in 60 min. 50 min. spaces are gained in` (60/55 xx 50)` min. or` 54 6/11` min. :. Required time` = 54 6/11` min. past 4.
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Question: A watch which gains uniformly is 2 minute slow at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct ?
A
2 p.m on Tuesday

B
2 p.m. on Wednesday

C
3 p.m. on Thursday

D
1 p.m. on Firday

Note: Not available
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Question: 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 :
A
`59 7/12` min past 3

B
4 p.m

C
`58 7/11` min.past 3

D
`2 3/11` min. past 4

Note: Not available
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Question: To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is :
A
Rs. 10800

B
Rs. 14400

C
Rs. 10000

D
Rs. 16000

Note: For an income of Rs. 12, stock needed = Rs. 100 For an income of Rs. 1200, stock needed `= Rs. (100/12 xx 1200)` `= Rs. 10000.
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Question: Rajinder invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120 ?
A
Rs. 4500

B
Rs. 5500

C
Rs. 6000

D
Rs. 4000

Note: Let investment in 12% stock be Rs. x. Then, investment in 15% stock` = Rs.(12000 - x).` `12/120 xx x + 15/125 xx (12000 - x) = 1360` `or x/10 xx 3/25 (12000 - x) = 1360` `or 5x + 72000 - 6x` `= 1360 xx 50 or x = 4000.`
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Question: Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is :
A
Rs. 4800

B
Rs. 5000

C
Rs. 5400

D
Rs. 5600

Note: Let the investment in 9% stock be Rs. x. Then, investment in 10% stock = Rs. (9800 - x) `9/75 xx x = 10/80 xx (9800 - x) or (3x)/25` `= (9800 - x)/8` `or 24x = 9800 xx 25 - 25x or 49x` `= 9800 xx 25 or x = 5000.`
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Question: A man invests some money party in 9% stock at 96 and party in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio :
A
`4 : 5`

B
`16 : 15`

C
`3 : 4`

D
`3 : 5`

Note: For in income of Rs. 1 in 9% stock at 96, investment For an income of Rs 1 in 12% stock at 120, investment `= Rs (120/12)` `= Rs. 10`. :. Ratio of investment` = 32/3 : 10 = 32 : 30 = 16 : 15.
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Question: A man invests in a 16% stock at 128. The interest obtained by him is :
A
16%

B
8%

C
12.5%

D
12%

Note: Not available
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Question: In order to obtain an income of Rs.650 from 10% stock at Rs. 96, one must make an investment of :
A
Rs. 6500

B
Rs. 9600

C
Rs. 3100

D
Rs. 6240

Note: To obtain Rs. 10, investment = Rs. 96 To obtain Rs. 650, investment `= Rs. (96/10 xx 650)` `= Rs. 6240.`
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Question: At what time between 9 and 10 o'clock will the hands of a watch be together ?

Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions ?

Question: A watch which gains uniformly is 2 minute slow at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct ?

Question: 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 :

Question: To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is :

Question: Rajinder invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120 ?

Question: Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is :

Question: A man invests some money party in 9% stock at 96 and party in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio :

Question: A man invests in a 16% stock at 128. The interest obtained by him is :

Question: In order to obtain an income of Rs.650 from 10% stock at Rs. 96, one must make an investment of :