Q. The ratio of the profits of P and Q is 5 : 8. What is their investment ratio, if their investment time period ratio is 3 : 5?
1) 13 : 25
2) 12 : 25
3) 24 : 25
4) 25 : 24
Q. What is the greatest four-digit number which on being divided by 6, 7, and 8 leaves 4, 5, and 6 as remainders, respectively?
1) 9910
2) 9920
3) 9921
4) 9912
Q. In △ABC, AB=7 cm, BC = 10 cm and AC=8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then DC/4 (in cm ) is equal to -
1) 14/2
2) 4/3
3) 11/3
4) 7/3
Q. The average of eight consecutive odd numbers is 28. The sum of the smallest and the largest number is -
1) 45
2) 52
3) 48
4) 56
Q. The circumference of the base of a right circular cylinder is 62.8 cm and its volume is 8792 cm3. What is the curved surface area (in cm2
1) 1695.5
2) 1758.4
3) 1632.8
4) 1570.2
Q. Joseph deposited a total of ₹52,500 in a bank in the names of his two daughters aged 15 years and 16 years in such a way they would get equal amounts when they become 18 years old. If the bank gives 10% compound interest compounded annually; then what is the amount (in ₹) that joseph had deposited in the name of his younger daughter?
1) 25,500
2) 24,500
3) 25,000
4) 26,000
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
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