Q. If a2+ b2 + 49c2 + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is -
1) 4
2) 3
3) 2
4) 1
Q. In △ABC, ∠A = 88°. If I is the incentre of the triangle, then the measure of ∠BIC is -
1) 112°
2) 134°
3) 56°
4) 68°
Q. What is the average of all the prime numbers between 70 and 90?
1) 80
2) 78.66
3) 79
4) 81.6
Q. The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple interest (in Rs.) on Rs 15,000 at the same rate of simple interest for 8 years -
1) 5,800
2) 5,000
3) 6,000
4) 5,250
Q. The angle of elevation of the top of a tall building from the points M and N at the distance of 72 m and 128 m, respectively, from the base of the building and in the same straight line with it, are complementary. The height of the building (in m) is -
1) 84
2) 96
3) 80
4) 90
Q. Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8, and 12 seconds. After how many seconds, will they toll together again?
1) 167
2) 168
3) 176
4) 186
Q. A shopkeeper marks his goods at a price of 20%, higher than their cost price, and allows a 10% discount on every item. Find his gain percentage -
1) 10%
2) 10.5%
3) 9%
4) 8%
Q. A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?
1) 24
2) 20
3) 12
4) 25
Q. The value of 40 ÷ 5 of 2 x [ 18 ÷ 6 x (12 - 9) of 5 - (3 - 8 )] ÷ 25 is -
1) 5
2) 7
3) 8
4) 4
Q. In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at point E. If ∠CED = 57° and ∠A = 47°, then measure of ∠B is -
1) 47°
2) 67°
3) 77°
4) 57°
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