CTET Solved Paper - UPTET Feburary 2014 Paper2
121. The abscissa of the point (-2, -5) is
- Option : B
- Explanation : For point (x,y) x is the abscissa and y is the ordinate. Abscissa of (-2, -5) is -2.
122. If the number 23583ab is completely divisible by 80, then the value of a - b is
- Option : A
- Explanation : 23583ab is divisible by 80, so it should be divisible by both 8 and 10 (factors of 80).
For 23583ab to be divisible by 10,
∴ b = 0
Now, by divisibility rule of 8,
3ab, i.e. 3a0 must be divisible by 8.
Only a = 2 makes it possible.
∴ a - b = 2.
123. LCM and HCF of two numbers p and q are P and Q, respectively.
If P - p = q - Q, then
- Option : A
- Explanation : For two numbers p and q having LCM and HCF as P and Q respectively, we have pq = PQ
Given, p - P = q - Q
⇒ p + q = P + Q
Squaring on both sides, we get
p2 + q2 + 2pq = P2 + Q2 + 2PQ
⇒ p2 + q2 = P2 + Q2 [as pq=PQ].
- Option : D
- Explanation : The ratio of the number of ₹1, 50 paise and 25 paise coins is 5 : 6 : 8.
Therefore, the ratio of their contribution in ₹210 is
= 5 : 6/2 : 8/2.
i. e. 5 : 3 : 4.
Contribution of ₹1 coins in ₹210
= 5/(5 + 3 + 2) x 210.
= 105
∴ Number of ₹1 coins = 105.
