43577.If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?
k1 = 6, k2 = – 1
k 1 = 1, k 2 = – 6
k 1 = 1, k2 = 6
k1 = – 6, k2 = 1
43579.If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?
0
1
512√2
612√2
43580.If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?
1/5
5
25
60
43581.In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
1 : 1
2 : 1
3 : 1
4 : 1
43582.PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
12/5
36/5
5
2.5
43583.In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)?
60
100
105
115
43584.If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
0
5
4
7
43586.If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?
0
1
8
9
43588.The pie charts below shows the break-up of number of hours of teaching various subjects at an institute by MR.Raghav.
If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?
If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?
15
20
25
40
43589.The pie charts below shows the break-up of number of hours of teaching various subjects at an institute by MR.Raghav.
Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?
Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?
46
51.75
69
103.5
43590.The pie charts below shows the break-up of number of hours of teaching various subjects at an institute by MR.Raghav.
If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?
If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?
136
184
216
232
43591.The pie charts below shows the break-up of number of hours of teaching various subjects at an institute by MR.Raghav.
A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?
A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?
17.28
18
19.44
36
43592.English Comprehension
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select ‘No error’.
If you had (1)/ told me earlier (2)/ I will help you. (3)/ No Error (4)
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select ‘No error’.
If you had (1)/ told me earlier (2)/ I will help you. (3)/ No Error (4)
1
2
3
4
43593.In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select ‘No error’.
Her mother is (1)/ angry and (2)/ indifferent to me. (3)/ No Error (4)
Her mother is (1)/ angry and (2)/ indifferent to me. (3)/ No Error (4)
1
2
3
4
43594.In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Don’t loiter _____ the corridor.
Don’t loiter _____ the corridor.
around
off
of
at
43595.In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
I will scold him when _____.
I will scold him when _____.
he will come
he comes
he would come
he had come.
43596.In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Mellifluous
Mellifluous
Shiver
Frank
Immoral
Dulcet