Maths

❓️ The 10-digit number 79x00001y6 is exactly divisible by 88. What is the value of (x + y) ?

Options:

1. 9
2. 7
3. 6
4. 5

Correct answer: 9

❓️ A shopkeeper decides to raise the marked price of an article by 10%. How much discount should he allow so as to be able to sell the article at the original marked price?

Options:

1. 100/11%
2. 72/9%
3. 19/2%
4. 10%

Correct answer: 100/11%

❓️ Given, a + 1/a = 2, what is the value of  (a118 + 1/ a117) ?

Options:

1. 118
2. 2
3. 1
4. 117

Correct answer: 2

❓️ What is the simplified value of (sin²31° + sin²59° / sec²35° - cot²55° + tan29°cot60° - cosec²61°)

Options:

1. 1/2
2. -1
3. 1
4. 0

Correct answer: 0

❓️. ABCD is a rhombus with each side being equal to 8 cm. If BD = 10 cm, AC = 2√x cm , what is the value of √x +10 ?

Options:

1. 2√3
2. 7
3. 3√2
4. 5

Correct answer: 7

❓️ A square has been inscribed in a circle. What is the ratio of the length of a side of the square to the radius of the circle ?

Options:

1. √2 : 1
2. 2 : 1
3. 1 : 2
4. 1 :  √2

Correct answer:  √2 : 1

❓️ The volume of a right circular cone is equal to that of sphere, whose radius is half the radius of the base of the cone. What is the ration of the rhombus of the base to the height of the cone?

Options:

1. 1 : 4
2. 1 : 2
3. 4 : 1
4. 2 : 1

Correct answer: 2 : 1

❓️ For all ∞ti s,(i = 1,2,3,...,20) lying between 0° and 90°, it is given that cos ∞1 + cos ∞2 + cos ∞3 + .....+ cos ∞20 = 20
What is the value of  (∞1 + ∞2 + ∞3 + .....+ ∞20 ) ?

Options:

1. 0°
2. 20°
3. 900°
4. 1800°

Correct answer: 0°

❓️ An inlet pipe can fill a tank in 10 hours and an outlet pipe can empty the completely filled tank in 20 hours. Both the pipes are opened at 6.30 a.m. When will the tank get filled ?

Options:

1. 1 a.m. next day
2. 2 a.m. next day
3. 12.00 midnight
4. 2.30 a.m. next day

Correct answer: 2.30 a.m. next day

❓️ If (a + b + 4){(a + b)} - 4ab = 0, and a ≠ -4, b ≠ -4, then {1/(a + b + 4)117 2-234 } is equal to:

Options:

1. 1/ 2117
2. 0
3. -1/2234
4. 1/4117

Correct answer: 0

❓️. A man loses 20% by selling an article for Rs.96. For what amount should he have sold the article to gain 15%?

Options:

1. Rs.138
2. Rs.120
3. Rs.140
4. Rs.115

Correct answer: Rs.138

❓️  For 0°< θ < 90°, tanθ + cotθ = 2. is equal to:

Options:

1. 45°
2. 60°
3. 0°
4. 30°

Correct answer: 45°

❓️ The chords, AB and CD of circle meet at a point O, outside the circle. It is given that AB = 7 cm, CD = 4 cm, OB = 5 cm . What is the length of OD ?

Options:

1. 10 cm
2. 7.5 cm
3. 6 cm
4. 5 cm

Correct answer: 6 cm

❓️. The average of a series of 21 members is equal to 43. The average of the first eleven of them is 33. The average of the last eleven numbers is 53. The eleventh number of the series is:

Options:

1. 47
2. 43
3. 33
4. 46

Correct answer: 43

❓️. If (1.25)(1 - 6.4 X 10-5) = 1.2496 + a, then a is equal to:

Options:

1. 0.00016
2. 0.0032
3. 0.00032
4. 0.0016

Correct answer: 0.00032

❓️ 23 ÷ {3/7 of 14/5 x 8/3 (7/2 - 13/6)} is:

Options:

1. 2
2. 1
3. 1/3
4. 2/3
Correct answer: 1