(i) The taxi fare after each km when the fare is Rs. 20 for the first km and Rs. 11 for each additional km. |
(ii) The amount of air present in a cylinder when a vacuum pump removes \[\frac{1}{4}\]of the air remaining in the cylinder at a time. |
(iii) The cost of digging a well after every metre of digging, when it cost Rs. 250 for the metre and rises by Rs. 40 for each subsequent metre. |
(iv) The amount of money in the account every year, when Rs. 8000 is deposited at compound interest at 10% per annum. |
A) (i) & (ii) done clear
B) (ii) & (iv) done clear
C) (iii) & (i) done clear
D) (i) & (iv) done clear
View Solution play_arrowquestion_answer2) Which of the following are APs?
(i) \[\sqrt{2},\sqrt{8},\sqrt{18},\sqrt{32},....\] |
(ii) \[\sqrt{3},\sqrt{6},\sqrt{9},\sqrt{12},....\] |
(iii) \[{{1}^{2}},{{3}^{2}},{{5}^{2}},{{7}^{2}},.....\] |
(iv) \[{{1}^{2}},{{5}^{2}},{{7}^{2}},73,.....\] |
A) (i) & (ii) done clear
B) (i) & (iii) done clear
C) (i) & (iv) done clear
D) (ii) & (iv) done clear
View Solution play_arrowA) 28 done clear
B) 22 done clear
C) - 38 done clear
D) \[-48\frac{1}{2}\] done clear
View Solution play_arrowquestion_answer4) Which term of the AP 3, 8, 13, 18,..........is 78?
A) 10th done clear
B) 12th done clear
C) 14th done clear
D) 16th done clear
View Solution play_arrowquestion_answer5) Find the number of terms in the following AP: \[18,15\frac{1}{2},13,......-47\]
A) 21 done clear
B) 25 done clear
C) 31 done clear
D) 27 done clear
View Solution play_arrowquestion_answer6) 150 is a term of the AP 11, 8, 5, 2,.........
A) yes done clear
B) no done clear
C) - 148 is not a term of this A.P. done clear
D) - 149 is a term of this AP. done clear
View Solution play_arrowA) 4th done clear
B) 5th done clear
C) 6th done clear
D) 7th done clear
View Solution play_arrowquestion_answer8) Which term of the AP 3, 15, 27, 39,......will be 132 more than its 54th term?
A) 55th done clear
B) 60th done clear
C) 65th done clear
D) 70th done clear
View Solution play_arrowA) 100 done clear
B) 1000 done clear
C) 1200 done clear
D) 10000 done clear
View Solution play_arrowquestion_answer10) How many three digit numbers are divisible by 7?
A) 102 done clear
B) 114 done clear
C) 126 done clear
D) 128 done clear
View Solution play_arrowA) n = 6 done clear
B) n = 12 done clear
C) n = 13 done clear
D) n = 16 done clear
View Solution play_arrowquestion_answer12) Find the 20th term from the last term of the AP 3, 8, 13,.?. 253.
A) 196 done clear
B) 158 done clear
C) 148 done clear
D) 138 done clear
View Solution play_arrowA) - 13, - 8, - 3 done clear
B) - 24, - 18, -12 done clear
C) 6, 12, 18 done clear
D) 0, 2, 4 done clear
View Solution play_arrowquestion_answer14) Given \[a=3,d=10,{{S}_{n}}=168\] find n and \[{{a}_{6}}\].
A) 6, 53 done clear
B) 7, 54 done clear
C) 8, 86 done clear
D) 9, 90 done clear
View Solution play_arrowquestion_answer15) In the series, \[{{T}_{n}}=2n+5\], find \[{{S}_{4}}\].
A) 20 done clear
B) 40 done clear
C) 60 done clear
D) 80 done clear
View Solution play_arrowquestion_answer16) Find the 21st term of an AP whose first term is 4 and the common difference is 3.
A) 57 done clear
B) 60 done clear
C) 66 done clear
D) 64 done clear
View Solution play_arrowA) 1353300 done clear
B) 1253300 done clear
C) 1453300 done clear
D) 1753300 done clear
View Solution play_arrowA) 27, 35, 45, 17 done clear
B) 19, 27, 35, 43 done clear
C) 21, 29, 33, 41 done clear
D) 13, 33, 37, 41 done clear
View Solution play_arrowA) \[\frac{2}{1-{{x}^{2}}}\] done clear
B) \[\frac{3}{{{(1-x)}^{2}}}\] done clear
C) \[\frac{x}{1-{{x}^{2}}}\] done clear
D) \[\frac{x}{{{(1-x)}^{2}}}\] done clear
View Solution play_arrowA) 7 done clear
B) 9 done clear
C) 11 done clear
D) 13 done clear
View Solution play_arrowquestion_answer21) Find the 20th term of the HP \[-2,6,\frac{6}{5},\frac{2}{3},.....\]
A) \[\frac{3}{13}\] done clear
B) \[\frac{6}{73}\] done clear
C) \[\frac{3}{87}\] done clear
D) \[\frac{6}{97}\] done clear
View Solution play_arrowA) 201 done clear
B) - 201 done clear
C) - 198 done clear
D) + 198 done clear
View Solution play_arrowA) (1, 5, 25) done clear
B) (6, 32, 128) done clear
C) (4, 10, 17) done clear
D) (2, 8, 21) done clear
View Solution play_arrowA) 16 done clear
B) 4 done clear
C) 6 done clear
D) 1/3 done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 4 done clear
D) 0 done clear
View Solution play_arrowA) (6 and 16) done clear
B) (6 and 60) done clear
C) (5 and 125) done clear
D) (8 and 216) done clear
View Solution play_arrowA) \[\frac{pq}{p+q}\] done clear
B) \[\frac{{{p}^{2}}-{{q}^{2}}}{p+q}\] done clear
C) \[\frac{{{p}^{2}}-{{q}^{2}}}{p-q}\] done clear
D) \[\frac{{{p}^{2}}-{{q}^{2}}}{{{p}^{3}}-{{q}^{3}}}\] done clear
View Solution play_arrowA) \[(m-n){{p}^{2}}\] done clear
B) \[{{p}^{3}}\] done clear
C) \[{{p}^{2}}m\] done clear
D) \[\frac{1}{8}{{p}^{3}}\] done clear
View Solution play_arrowA) 1027 done clear
B) 819 done clear
C) 313 done clear
D) 727 done clear
View Solution play_arrowquestion_answer30) Insert two harmonic means between \[\frac{1}{20}\] and \[\frac{1}{32}\]
A) \[\frac{1}{24},\frac{1}{26}\] done clear
B) \[\frac{1}{24},\frac{1}{28}\] done clear
C) \[\frac{1}{26},\frac{1}{30}\] done clear
D) \[\frac{1}{30},\frac{1}{31}\] done clear
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