In the given figure, ‘ O’ is the centre of circle and AB = BC and ∠AOB = 90°, then ∠a is. a) 35° b) 55° c) 45° d) 65° Sol: ∆AOB ∆COB AB = BC AO = CO OB = common ⇒ ∠BOC = 90° as ∠AOB = 90° ⇒ AC = diameter ⇒ ∠ABC = 90° ∠ABO = 45°= ∠a

When ‘ a’ is subtract from each of 21, 38, 55, and 106, then the numbers obtained in this order, are in proportion. What is the mean proportional between (8+a) and (a-1)? a) 7 b) 6 c) 8 d) 4  Sol:

Train A takes 35 minutes more than train B to travel a distance of 460 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than train A to complete the same journey. What is the speed of train A (in km/hr)? a) 110 b) 90 c) 115 d) 120 Sol: ...

Neeraj purchased two articles at same cost price. He sold one article at a profit of 17% and second article at 816 Rs more than the fi rst article. If the net profit is 23% then find the cost price of each article? a) 7200Rs b) 6600Rs c) 7000Rs d) 6800Rs Sol:

Chiru while walking diametrically across a semi-circular playground takes 6 min less than if he had kept running around the circular path from P to Q. If he run 25 meter in 50 sec. what is the radius of the playground? a) 155.5 m b) 156.5m c) 157.5 m d) 158.5 m Sol:

A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two year, he repaid a sum of Rs. 5513 and at the end of third year, he cleared off the debt by paying Rs. 14300. What was the sum borrowed by him? a) 15200 b) 15300 c) 15400 ...

∆ABC ~ ∆PQR and area ΔABC/area ΔPQR=16/9.  If PQ = 18 cm and BC = 12 cm, then AB and QR are respectively. a) 9 cm, 24 cm b) 24 cm, 9 cm c) 32 cm, 6.75 cm d) 13.5 cm, 16 cm Sol:

By selling two articles for 600, a person gains the cost price of three aricles. The profit percent i s? a) 120 b)140 c) 150 d) 125  Sol: 2SP – 2CP = 3CP 2SP = 5 CP

Mohit’s family drove through 7 states on summer vacation. The prices of CNG differ from state to state. Calculate the median of CNG cost. 1.77, 1.63, 2.09, 1.88, 1.96, 2.11, 1.75 a) 1.75 b) 1.88 c) 2.09 d) 1.63 Sol: By organizing the data from smallest to greatest, we get: ...

For what value of ‘ p’ is x +  ¼ √x+p2 is perfect square. (a)  -1/8 (b)  1/8 (c)  1/12 (d)  -1/12 Sol:

A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground. The angle of elevation of the aeroplane from eyes of the girl at instant is 60°. After some time, the angle of elevation reduces to 30°. Find the distance travelled by the aeroplane ...

If 2 cosθ =x+1/x , Find 2cos3θ? Answer: Option B Sol: