Q. If a2 + b2 + 49c2 + 18 = 2(b - 28c - a), then the value of (a - b - 7x) is -
1) 4
2) 3
3) 2
4) 1
Q. The sides AB and AC of △ABC is produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A=88°,
then the measure of ∠P is -
1) 46°
2) 56°
3) 51°
4) 61°
Q. A railway engine passes two bridges of lengths 400m and 235m in 100 seconds and 60 seconds respectively. Twice the length of the railway engine (in m) is -
1) 24
2) 25
3) 12.5
4) 12
Q. The expression (cos6θ + sin6θ - 1) (tan6θ + cot2θ + 2) + 1 is equal to -
1) 1
2) -2
3) 0
4) -1
Q. The ratio of the present ages of Charvi and Vaishnavi is 4 : 5. Yuvika is 2 years older than Chrvi but 5 younger than Vaishnavi. Find the present age of Vaishnavi.
1) 35 years
2) 28 Years
3) 25 years
4) 42 Years
Q. If 47a + 47b = 5452,what is the average of a and b?
1) 116
2) 23.5
3) 96
4) 58
Q. If (46)2 is subtracted from the square of a number, the answer so obtained is 485. What is the number?
1) 49
2) 51
3) 56
4) 53
Q. What is 786 times 964?
1) 759276
2) 749844
3) 75416
4) 757704
Q. The sum of four consecutive even numbers A, B, C, and D is 180. What is the sum of the set of the next four consecutive even numbers?
1) 214
2) 212
3) 196
4) 204
Q. In an examination, it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared fail by 55 marks. What are the maximum aggregate marks a student can get?
1) 800
2) 750
3) 650
4) None of these
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